Time bar (total: 20.2s)
| 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)
| 1.3s | 6528× | body | 256 | valid |
| 427.0ms | 1016× | body | 1024 | valid |
| 166.0ms | 612× | body | 512 | valid |
| 41.0ms | 100× | 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 27 to 18 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.9b | (/.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 | |
|---|---|---|---|---|
| 5.0ms | alpha | @ | -inf | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 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 | 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 |
| 734× | times-frac_binary64 |
| 534× | associate-/l*_binary64 |
| 444× | associate-/r*_binary64 |
| 384× | cancel-sign-sub-inv_binary64 |
| 330× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2065 |
| 1 | 756 | 1949 |
| 2 | 2813 | 1769 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
| 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 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.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 1 (/.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)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) 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 alpha (-.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.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 2 (/.f64 alpha beta)) (-.f64 (/.f64 -2 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 (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 (-.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 2 (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.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 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha) (-.f64 (/.f64 -2 beta) (/.f64 alpha 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 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (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 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1)) |
(+.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
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1 |
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1 |
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(+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) 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 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (*.f64 alpha alpha)))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) 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))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.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 beta alpha) (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) |
(-.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)) |
(+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 -1 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.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 beta alpha) (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 -1 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))) |
Compiled 5988 to 4144 computations (30.8% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 13 | 214 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 14 | 215 |
| Status | Error | Program |
|---|---|---|
| 46.5b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ▶ | 38.6b | (/.f64 2 2) |
| 61.6b | (/.f64 (+.f64 -1 1) 2) | |
| 45.8b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) | |
| 15.4b | (/.f64 (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))) 2) | |
| ▶ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 16.5b | (/.f64 (fma.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)))) 1) 2) | |
| ▶ | 15.9b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 45.8b | (/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) | |
| ▶ | 15.9b | (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
| 34.8b | (/.f64 (-.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))) 2) | |
| ▶ | 33.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 17.5b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
Compiled 495 to 369 computations (25.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
| ✓ | 0.0b | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 1.3b | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 73 to 47 computations (35.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | beta | @ | -inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | alpha | @ | 0 | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | 0 | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
| 1× | batch-egg-rewrite |
| 717× | fma-def_binary64 |
| 649× | log-prod_binary64 |
| 497× | fma-neg_binary64 |
| 279× | log-div_binary64 |
| 243× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 58 |
| 1 | 270 | 49 |
| 2 | 4376 | 49 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) 1)))))) |
| 1× | egg-herbie |
| 774× | associate-/l*_binary64 |
| 704× | associate-/r*_binary64 |
| 487× | cancel-sign-sub-inv_binary64 |
| 338× | associate-*l/_binary64 |
| 244× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 3084 |
| 1 | 802 | 2924 |
| 2 | 2899 | 2697 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(-.f64 1 (/.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 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 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 (+.f64 2 alpha) (*.f64 -1 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 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 (neg.f64 beta) -2) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 (neg.f64 beta) -2) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
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(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
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(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) |
(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) |
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) beta)) beta))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) beta)) beta)) (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) |
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) |
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta)) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4)) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))))) |
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (+.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) |
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) |
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 (/.f64 beta alpha) beta)) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4)) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))))) |
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 4))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (+.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) |
(-.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 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.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 (+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (fma.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3))) (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.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)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (fma.f64 alpha 2 2) beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 (/.f64 (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 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 alpha (-.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 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 (+.f64 2 alpha) (*.f64 -1 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 (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)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 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 (+.f64 alpha 2) (neg.f64 alpha)) 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))))) |
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha (+.f64 alpha 2))) (pow.f64 beta 3))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (fma.f64 alpha 2 2))))) |
(+.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 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)))) |
(+.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 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) 1)) |
(+.f64 (-.f64 1 (+.f64 (/.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha))) (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (+.f64 beta 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha) |
(/.f64 (fma.f64 beta 2 2) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (-.f64 2 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) |
(/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha) |
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) |
(+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)) (*.f64 alpha alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 (*.f64 beta -2) -2) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) |
(+.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)) (*.f64 alpha alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 4))) (-.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) (/.f64 (+.f64 (*.f64 beta -2) -2) alpha))) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 1.4b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 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 |
| 690× | times-frac_binary64 |
| 658× | fma-def_binary64 |
| 385× | associate-*r/_binary64 |
| 371× | fma-neg_binary64 |
| 352× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 339 |
| 1 | 147 | 337 |
| 2 | 399 | 330 |
| 3 | 1149 | 316 |
| 4 | 3623 | 316 |
| 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)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4))) |
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(fma.f64 alpha (fma.f64 alpha 1/4 -1/2) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha 1/4 -1/2) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) |
(/.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 2 alpha) (/.f64 (/.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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 (*.f64 alpha alpha) -1/4)) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(*.f64 alpha (fma.f64 alpha -1/4 1/2)) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) -1/4))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha (fma.f64 alpha 1/8 -1/4)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) -1/4)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
(fma.f64 alpha (fma.f64 alpha -1/4 1/2) (*.f64 (pow.f64 alpha 3) (+.f64 1/8 (*.f64 alpha -1/16)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
| ✓ | 3.2b | (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
Compiled 63 to 39 computations (38.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | inf | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | beta | @ | 0 | (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
| 0.0ms | alpha | @ | 0 | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | 0 | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 547× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 327× | fma-neg_binary64 |
| 231× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 261 | 39 |
| 2 | 3839 | 39 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
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(+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) |
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 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 (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 *.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 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 |
| 951× | times-frac_binary64 |
| 674× | associate-/l*_binary64 |
| 400× | cancel-sign-sub-inv_binary64 |
| 337× | distribute-rgt-in_binary64 |
| 301× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 2700 |
| 1 | 873 | 2555 |
| 2 | 3227 | 2312 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(/.f64 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)))) |
| 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 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.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 1 (/.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 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) 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 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.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 alpha (-.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.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 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.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 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (/.f64 (-.f64 -2 alpha) beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (-.f64 -2 alpha) 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 (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)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1)) |
(+.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) |
(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 beta (-.f64 -2 beta)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 (-.f64 -2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 beta (-.f64 -2 beta)))))) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (*.f64 (/.f64 beta alpha) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))))) |
(*.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 (+.f64 (-.f64 (neg.f64 beta) beta) -2)) alpha) |
(/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) |
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1 |
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1 |
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-1 |
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-1 |
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(+.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 -1 (+.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) 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)))) |
(+.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))))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (+.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 (/.f64 1 beta) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta)))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) |
(+.f64 (/.f64 1 beta) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 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)))) |
(+.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))))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (+.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 (/.f64 1 beta) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta)))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) |
(+.f64 (/.f64 1 beta) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)))) |
(/.f64 1 (+.f64 beta 2)) |
(/.f64 1 (+.f64 2 beta)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 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 2 beta)) (+.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (/.f64 1 (+.f64 2 beta)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (+.f64 -1 (/.f64 alpha (+.f64 2 beta))))) |
(+.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 (/.f64 1 (+.f64 2 beta)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (+.f64 -1 (/.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 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))) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) 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)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 (-.f64 -2 beta) alpha) 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))) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) 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)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.1b | (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) |
| ✓ | 0.1b | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| ✓ | 1.3b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 84 to 52 computations (38.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | alpha | @ | -inf | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 13.0ms | alpha | @ | 0 | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 12.0ms | beta | @ | 0 | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 9.0ms | alpha | @ | inf | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 5.0ms | beta | @ | inf | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 1× | batch-egg-rewrite |
| 673× | log-prod_binary64 |
| 571× | fma-def_binary64 |
| 388× | fma-neg_binary64 |
| 262× | log1p-udef_binary64 |
| 261× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 338 | 64 |
| 2 | 4481 | 64 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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) 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| 1× | egg-herbie |
| 923× | fma-def_binary64 |
| 644× | distribute-rgt-in_binary64 |
| 634× | distribute-lft-in_binary64 |
| 342× | times-frac_binary64 |
| 257× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 750 | 14102 |
| 1 | 2882 | 12284 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3)))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 5)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2)))) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 1 (+.f64 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 2 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4))))) |
(+.f64 2 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2))))) |
(+.f64 2 (+.f64 (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 2 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)))))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2))))) (cbrt.f64 4))) (*.f64 1/108 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2)))))) |
2 |
(+.f64 2 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4))))) |
(+.f64 2 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2))))) |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
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alpha))))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))))))) |
8 |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))) |
(+.f64 8 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))))))) |
8 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 2 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 3))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2)))))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 -2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) (pow.f64 alpha 3))))) |
(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))) (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 6))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))))))))))) |
(*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))) (pow.f64 alpha 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 6)) (*.f64 2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 6)))))))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.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) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2)))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (neg.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 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 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.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 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 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)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 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 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
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2 |
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(+.f64 2 (*.f64 1/3 (/.f64 (*.f64 (+.f64 2 (*.f64 alpha 2)) -12) (*.f64 beta (cbrt.f64 4))))) |
(fma.f64 1/3 (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (/.f64 -12 (cbrt.f64 4))) 2) |
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2 |
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(fma.f64 -1/3 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 -12 (cbrt.f64 4))) 2) |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) 1/3) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (/.f64 (*.f64 3 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))))) (*.f64 alpha alpha))) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 beta 2) 2)))) (*.f64 (/.f64 3 alpha) (/.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (*.f64 (+.f64 2 beta) (fma.f64 beta -1 (fma.f64 beta -1 -2)))) alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2))) (+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 (*.f64 2 beta))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) 2)))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) 1/3) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))) |
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(fma.f64 1/3 (/.f64 (-.f64 (fma.f64 2 (*.f64 (fma.f64 2 beta 2) (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta -1 (fma.f64 beta -1 -2))) 2)) (fma.f64 (fma.f64 2 beta 2) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta -1 (fma.f64 beta -1 -2))) 2) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (+.f64 (fma.f64 2 beta 2) (fma.f64 2 beta 2)))) (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))))) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (fma.f64 2 beta 2)))) (pow.f64 (*.f64 3 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (*.f64 (+.f64 2 beta) (fma.f64 beta -1 (fma.f64 beta -1 -2))))) 2))) (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 2) 2))) (fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 beta 2) 2)))) (*.f64 (/.f64 3 alpha) (/.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (*.f64 (+.f64 2 beta) (fma.f64 beta -1 (fma.f64 beta -1 -2)))) alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2))) alpha) |
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(-.f64 (*.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) alpha) (/.f64 -3 alpha))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)))) (/.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) alpha)) |
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(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) (*.f64 alpha alpha)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))) |
(fma.f64 1/3 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) alpha) (/.f64 -3 alpha)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (+.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2)) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta -1 (fma.f64 beta -1 -2)))) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (/.f64 (neg.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2))) alpha))) |
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(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) (*.f64 alpha alpha)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 1/3 (/.f64 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))) (fma.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)))))) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) 3) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (*.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 5))) (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3)) (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) -3) 2)))))))) (*.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))))) |
(fma.f64 1/3 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) alpha) (/.f64 -3 alpha)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (+.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2)) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta -1 (fma.f64 beta -1 -2)))) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (fma.f64 1/3 (/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 2 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (+.f64 (*.f64 (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4))) -2) (*.f64 (*.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (*.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (fma.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 5))) (*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) -3)) (+.f64 (-.f64 (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (+.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2)) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 2) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta -1 (fma.f64 beta -1 -2)))) (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) -3) 2))))) (/.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)) 3) -27)) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2)))) (*.f64 (pow.f64 alpha 4) (pow.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) 2))) (/.f64 (neg.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2))) alpha)))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)) |
(fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))))) |
(+.f64 (fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 (*.f64 beta beta) (fma.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))))) |
(fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (fma.f64 (*.f64 beta beta) (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))))))) |
(+.f64 (fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (fma.f64 (*.f64 beta beta) (fma.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))) (*.f64 (pow.f64 beta 3) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 2 (*.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))) |
(+.f64 (fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (fma.f64 (*.f64 beta beta) (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))) (*.f64 (pow.f64 beta 3) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))) |
8 |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 8 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12)) |
(fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) -12 8) |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))) |
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(+.f64 8 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) -12 (fma.f64 4 (/.f64 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (fma.f64 alpha 2 2) 2)) (*.f64 beta beta)) (*.f64 4 (/.f64 (pow.f64 (fma.f64 alpha 2 2) 2) (*.f64 beta beta))))))) |
(+.f64 8 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))))))) |
(+.f64 8 (fma.f64 2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 4 (-.f64 (neg.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 3)))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)))) (fma.f64 -4 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 4 (/.f64 (-.f64 (neg.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (fma.f64 -4 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -8 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)) (*.f64 beta beta)))))))))))) |
(+.f64 8 (fma.f64 2 (/.f64 (fma.f64 (*.f64 (fma.f64 alpha 2 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) -2 (*.f64 4 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (pow.f64 beta 3)) (-.f64 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) -4 (fma.f64 4 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha))) (fma.f64 -4 (/.f64 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (fma.f64 alpha 2 2))) (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) -8 (fma.f64 4 (/.f64 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (fma.f64 alpha 2 2) 2)) (*.f64 beta beta)) (*.f64 4 (/.f64 (pow.f64 (fma.f64 alpha 2 2) 2) (*.f64 beta beta))))))))) (/.f64 (fma.f64 alpha 2 2) (/.f64 (pow.f64 beta 3) (fma.f64 4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (fma.f64 alpha 2 2) 2))))))) |
8 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8) |
(fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) |
(-.f64 8 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) -12) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -4)))) |
(+.f64 (-.f64 8 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) -12) beta)) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 -8 (*.f64 alpha -4)))) (*.f64 beta beta)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) -4)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 2 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 3))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2)))))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 4 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 2 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -4)) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (*.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -4)))) (pow.f64 beta 3)) (*.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -4))))) |
(+.f64 (-.f64 8 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) -12) beta)) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 -8 (*.f64 alpha -4)))) (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) -4) (/.f64 (fma.f64 4 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2)) (fma.f64 2 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) (*.f64 (+.f64 4 (*.f64 alpha 2)) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 (*.f64 -4 (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (+.f64 -8 (*.f64 alpha -4))))))))) (pow.f64 beta 3)))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) |
(fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) |
(fma.f64 alpha (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) |
(fma.f64 alpha (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (fma.f64 (*.f64 alpha alpha) (-.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 -2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))))) |
(+.f64 (fma.f64 alpha (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (*.f64 alpha alpha) (-.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2))) (*.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (fma.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))) |
(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) |
(/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)) |
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1 |
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1 |
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(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))) (/.f64 beta (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))) (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(-.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 beta alpha) (-.f64 (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(-.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)) |
(+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
(fma.f64 -1 (/.f64 (fma.f64 beta -1 (fma.f64 beta -1 -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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 alpha alpha))) -1) |
(+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2))) alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) -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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 alpha alpha)))) -1) |
(+.f64 (-.f64 (-.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (fma.f64 beta -1 (fma.f64 beta -1 -2)))) (/.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (fma.f64 beta -1 (fma.f64 beta -1 -2)) alpha)) -1) |
Compiled 46302 to 34139 computations (26.3% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1070 | 16 | 1086 |
| Fresh | 5 | 3 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1076 | 24 | 1100 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| ▶ | 45.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| 49.7b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) | |
| 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))) 2) | |
| ✓ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) 2) | |
| 34.8b | (/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1))) 3) 1/3) 2) | |
| 17.5b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 46.5b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ▶ | 33.6b | (/.f64 1 2) |
| 17.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) | |
| 33.2b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| 34.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ▶ | 45.8b | (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
| 16.8b | (/.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1) 3) 1/3) 2) | |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ▶ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
| 16.5b | (/.f64 (fma.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)))) 1) 2) | |
| ✓ | 38.6b | (/.f64 2 2) |
| 43.4b | (/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) | |
| 48.9b | (/.f64 (/.f64 2 alpha) 2) | |
| 16.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1)) 2) | |
| ▶ | 34.8b | (/.f64 (-.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))) 2) |
| ✓ | 33.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
Compiled 893 to 653 computations (26.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) |
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) |
| ✓ | 1.2b | (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
Compiled 147 to 100 computations (32% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | beta | @ | 0 | (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) |
| 6.0ms | beta | @ | 0 | (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
| 2.0ms | alpha | @ | inf | (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
| 1.0ms | beta | @ | inf | (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
| 1× | batch-egg-rewrite |
| 671× | prod-diff_binary64 |
| 525× | log-prod_binary64 |
| 362× | fma-def_binary64 |
| 310× | pow2_binary64 |
| 241× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 236 | 39 |
| 2 | 3360 | 39 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 alpha (+.f64 alpha (+.f64 2 beta))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) 1) (*.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha 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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
| 1× | egg-herbie |
| 943× | times-frac_binary64 |
| 842× | fma-def_binary64 |
| 629× | associate-/l*_binary64 |
| 490× | associate-/r*_binary64 |
| 361× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2425 |
| 1 | 529 | 2256 |
| 2 | 1906 | 2119 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1) |
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) |
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))))) 1) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))))))) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1) |
(+.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) |
(+.f64 -1 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) -1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -1)) |
(+.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha) (fma.f64 -2 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) 1)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) -1))) |
(+.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha) (fma.f64 -2 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (fma.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) -1))) |
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) |
(/.f64 (+.f64 -4 (*.f64 beta -2)) alpha) |
(/.f64 (fma.f64 beta -2 -4) alpha) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) |
(fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha)) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(fma.f64 -4 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))) |
(+.f64 (fma.f64 -4 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (/.f64 (fma.f64 beta -2 -4) alpha))) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) |
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) |
(*.f64 -2 (/.f64 (+.f64 2 beta) alpha)) |
(/.f64 (+.f64 -4 (*.f64 beta -2)) alpha) |
(/.f64 (fma.f64 beta -2 -4) alpha) |
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) |
(fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha)) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(fma.f64 -4 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 -4) alpha))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 2 beta) alpha) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))))) |
(+.f64 (fma.f64 -4 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (/.f64 (fma.f64 beta -2 -4) alpha))) (fma.f64 3 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)))) |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1) |
(+.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 alpha 2) 3))) 1)) |
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1) |
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (*.f64 beta beta) (*.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))) -1) |
(+.f64 -1 (+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (fma.f64 (*.f64 beta beta) (*.f64 3 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha))) (/.f64 (*.f64 -2 (*.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 alpha 2) 3))))) |
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (fma.f64 beta (*.f64 beta (*.f64 3 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)))) (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) -1))) |
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1 |
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1 |
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(fma.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)) (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 beta beta)) alpha))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))))))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) (*.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)))) |
(fma.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)) (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 beta beta)) alpha)))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) |
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) |
(*.f64 (/.f64 alpha (*.f64 beta beta)) alpha) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) |
(fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) |
(fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 beta beta)) alpha)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (*.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)))) |
(fma.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)) (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 beta beta)) alpha))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))))))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (pow.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) (*.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)))) |
(fma.f64 3 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 4)) (*.f64 alpha alpha)) (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 beta beta)) alpha)))) |
(/.f64 alpha (+.f64 beta 2)) |
(/.f64 alpha (+.f64 2 beta)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (-.f64 (/.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 alpha (+.f64 2 beta))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4)))) |
(+.f64 (/.f64 alpha (+.f64 2 beta)) (-.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 4))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha)))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3)) |
(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (-.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (fma.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) alpha (/.f64 alpha (+.f64 alpha 2))) (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) |
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) |
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 alpha (+.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) |
(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) |
(+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha) (-.f64 (-.f64 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha (/.f64 alpha beta)) (*.f64 alpha (+.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))))) |
Compiled 7 to 7 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| ✓ | 0.0b | (-.f64 beta (-.f64 -2 beta)) |
Compiled 30 to 19 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| 1.0ms | alpha | @ | -inf | (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| 1.0ms | beta | @ | inf | (-.f64 beta (-.f64 -2 beta)) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 672× | prod-diff_binary64 |
| 618× | unpow-prod-down_binary64 |
| 438× | log-prod_binary64 |
| 264× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 172 | 17 |
| 2 | 2673 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 beta (-.f64 -2 beta)) |
(/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 alpha) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta alpha) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 (-.f64 -2 beta) alpha))))))) |
| 1× | egg-herbie |
| 57× | fma-def_binary64 |
| 14× | associate-*r*_binary64 |
| 12× | *-commutative_binary64 |
| 12× | associate-/l*_binary64 |
| 10× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 321 |
| 1 | 26 | 303 |
| 2 | 41 | 303 |
| 3 | 45 | 303 |
| 4 | 54 | 282 |
| 5 | 73 | 240 |
| 6 | 98 | 240 |
| 7 | 153 | 240 |
| 8 | 188 | 240 |
| 9 | 189 | 240 |
| 1× | saturated |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(*.f64 2 beta) |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(*.f64 2 beta) |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(+.f64 2 (*.f64 2 beta)) |
(/.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) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(*.f64 2 beta) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(*.f64 2 beta) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(+.f64 2 (*.f64 2 beta)) |
(fma.f64 2 beta 2) |
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.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 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 -2 beta) alpha) |
| ✓ | 0.0b | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
Compiled 57 to 36 computations (36.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | beta | @ | 0 | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 -2 beta) alpha) |
| 0.0ms | beta | @ | inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| 0.0ms | beta | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1× | batch-egg-rewrite |
| 723× | log-prod_binary64 |
| 657× | fma-def_binary64 |
| 374× | fma-neg_binary64 |
| 324× | log-div_binary64 |
| 271× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 282 | 26 |
| 2 | 4678 | 26 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 -2 alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) 2) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (-.f64 -2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -2 alpha)) (cbrt.f64 (/.f64 -2 alpha))) (cbrt.f64 (/.f64 -2 alpha)) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 alpha)) (sqrt.f64 (/.f64 -2 alpha)) (neg.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 416× | fma-def_binary64 |
| 380× | times-frac_binary64 |
| 340× | unswap-sqr_binary64 |
| 281× | div-sub_binary64 |
| 275× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 965 |
| 1 | 320 | 904 |
| 2 | 1003 | 849 |
| 3 | 4648 | 750 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(/.f64 (+.f64 beta 2) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) |
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.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 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (/.f64 2 alpha)) |
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 alpha))) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 2 alpha))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (-.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) beta))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 alpha))) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta (+.f64 2 alpha)) 3)))) |
(+.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 alpha))) (-.f64 (pow.f64 (/.f64 beta (+.f64 2 alpha)) 3) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) beta))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) 1)) |
(+.f64 1 (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)))) |
(-.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta))))) |
(+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) 1)) |
(+.f64 1 (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)))) |
(-.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta))))) |
(+.f64 (+.f64 1 (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 (+.f64 2 alpha) beta) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 beta (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 2 beta)) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (/.f64 (+.f64 2 beta) alpha) (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 beta)))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(-.f64 (+.f64 (/.f64 (+.f64 2 beta) alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) |
(/.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 2 (+.f64 beta beta)) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (neg.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(fma.f64 -1 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) |
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
(+.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) beta)) (fma.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) |
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 -2 beta) (/.f64 beta (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (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))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (pow.f64 alpha 4) beta))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (*.f64 (/.f64 (/.f64 beta alpha) alpha) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (*.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 beta 2)) alpha)) |
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) |
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (neg.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(fma.f64 -1 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) |
(+.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
(+.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) beta)) (fma.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) |
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 -2 beta) (/.f64 beta (*.f64 alpha alpha))))) |
(+.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 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (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))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
(+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta -1 -2) beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (pow.f64 alpha 4) beta))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (*.f64 (/.f64 (/.f64 beta alpha) alpha) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
| ✓ | 2.1b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| ✓ | 3.1b | (-.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))) |
Compiled 161 to 94 computations (41.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | beta | @ | -inf | (-.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))) |
| 17.0ms | beta | @ | 0 | (-.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))) |
| 15.0ms | beta | @ | inf | (-.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))) |
| 13.0ms | alpha | @ | -inf | (-.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))) |
| 11.0ms | alpha | @ | 0 | (-.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))) |
| 1× | batch-egg-rewrite |
| 582× | fma-neg_binary64 |
| 322× | log1p-udef_binary64 |
| 321× | expm1-udef_binary64 |
| 254× | log-pow_binary64 |
| 190× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 69 |
| 1 | 365 | 48 |
| 2 | 5780 | 48 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
| Outputs |
|---|
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(2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)))) 1)))))) |
| 1× | egg-herbie |
| 792× | distribute-rgt-in_binary64 |
| 684× | times-frac_binary64 |
| 376× | *-commutative_binary64 |
| 332× | +-commutative_binary64 |
| 245× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1054 | 19255 |
| 1 | 4300 | 17817 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) |
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(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) |
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4)))))) |
(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) 1) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) 2) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) 2) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3)))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) |
(fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 4 (*.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(fma.f64 beta (-.f64 (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 (*.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 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 alpha (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) |
(fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 4 (*.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (fma.f64 -1 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (+.f64 alpha 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) (+.f64 (*.f64 (/.f64 (fma.f64 (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))) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (fma.f64 -1 (*.f64 (/.f64 (-.f64 (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 4 (*.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 4 (*.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))) (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))) |
(fma.f64 beta (-.f64 (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (+.f64 (*.f64 (/.f64 (fma.f64 (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 (*.f64 (+.f64 4 (*.f64 alpha 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))) (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
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(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
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-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -2) |
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-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -2) |
(fma.f64 -1 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) -2) |
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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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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)) |
(/.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 (neg.f64 beta) -2)) alpha) 1) |
(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) |
(+.f64 1 (*.f64 2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) |
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(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))))) |
(+.f64 1 (fma.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (fma.f64 (+.f64 2 beta) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 alpha alpha)))))) |
(+.f64 1 (fma.f64 2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (fma.f64 -2 (*.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (/.f64 (+.f64 2 beta) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (*.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (+.f64 (+.f64 2 beta) (+.f64 2 beta)))) (pow.f64 alpha 3)))))) |
Compiled 97894 to 68245 computations (30.3% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1815 | 12 | 1827 |
| Fresh | 7 | 7 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1825 | 26 | 1851 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 49.7b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) | |
| 40.6b | (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) 1)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) | |
| 35.1b | (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) | |
| ✓ | 33.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 58.7b | (/.f64 (/.f64 (*.f64 2 beta) alpha) 2) | |
| 16.0b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) | |
| 17.5b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 46.5b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ▶ | 48.9b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 33.6b | (/.f64 1 2) |
| 17.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) | |
| ▶ | 35.1b | (/.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
| 33.2b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| 34.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| 39.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) | |
| ▶ | 48.7b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
| ✓ | 45.8b | (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
| 35.0b | (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (+.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) | |
| ✓ | 38.6b | (/.f64 2 2) |
| ▶ | 43.4b | (/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
| 61.1b | (/.f64 (/.f64 beta alpha) 2) | |
| 58.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) | |
| ✓ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
Compiled 1095 to 764 computations (30.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.1b | (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) |
| ✓ | 1.2b | (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
Compiled 193 to 124 computations (35.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| 2.0ms | alpha | @ | 0 | (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| 1.0ms | alpha | @ | 0 | (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) |
| 1× | batch-egg-rewrite |
| 776× | prod-diff_binary64 |
| 650× | log-prod_binary64 |
| 364× | fma-def_binary64 |
| 322× | fma-neg_binary64 |
| 237× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 60 |
| 1 | 259 | 42 |
| 2 | 3914 | 42 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) |
(/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha 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| 1× | egg-herbie |
| 792× | associate-/r*_binary64 |
| 306× | cancel-sign-sub-inv_binary64 |
| 302× | fma-def_binary64 |
| 283× | distribute-rgt-neg-in_binary64 |
| 248× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 3569 |
| 1 | 967 | 3217 |
| 2 | 4245 | 3070 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2)))))))) 1) |
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))))) |
(*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))) |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.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 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.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 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))) 1) |
(/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4)))))) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2)))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.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 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.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 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) -1) |
(+.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) |
(+.f64 -1 (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) -1) |
(+.f64 -1 (fma.f64 (neg.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 alpha 3) (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) |
(+.f64 -1 (fma.f64 (neg.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 4 (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 alpha 3) (*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha))) |
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(-.f64 (+.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha) (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) alpha) (*.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (fma.f64 alpha 2 4) 2))) alpha)) (neg.f64 (*.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (*.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (fma.f64 alpha 2 4) 2))) alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 6)))) beta))))) -1) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 4)) (*.f64 alpha (*.f64 alpha (fma.f64 alpha 2 4))))) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) -1) |
(+.f64 -1 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) |
(fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (neg.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2))))) 1)) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4)))) |
(+.f64 (/.f64 (*.f64 alpha (neg.f64 (*.f64 alpha (fma.f64 alpha 2 4)))) (pow.f64 beta 3)) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))) 1) |
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(+.f64 -1 (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) (/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (fma.f64 alpha 2 4) 2))) (pow.f64 beta 4)))) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) -1) |
(+.f64 -1 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) |
(fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) -1) |
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) |
(+.f64 (*.f64 (/.f64 -2 (pow.f64 beta 3)) (*.f64 alpha (*.f64 alpha (+.f64 alpha 2)))) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))) 1) |
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(/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) |
(/.f64 (*.f64 alpha alpha) (+.f64 2 beta)) |
(/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) |
(-.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) |
(-.f64 (+.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) |
(+.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 (-.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 2 beta) 4)))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(fma.f64 -1 (+.f64 2 beta) alpha) |
(-.f64 alpha (+.f64 2 beta)) |
(+.f64 alpha (-.f64 -2 beta)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(fma.f64 -1 (+.f64 2 beta) (+.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) |
(+.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) |
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(fma.f64 -1 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) alpha))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (-.f64 alpha (+.f64 2 beta))) |
(+.f64 (-.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (+.f64 (-.f64 -2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(fma.f64 -1 (+.f64 2 beta) alpha) |
(-.f64 alpha (+.f64 2 beta)) |
(+.f64 alpha (-.f64 -2 beta)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(fma.f64 -1 (+.f64 2 beta) (+.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) |
(+.f64 (-.f64 alpha (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) |
(+.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(fma.f64 -1 (+.f64 2 beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)) alpha))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (-.f64 alpha (+.f64 2 beta))) |
(+.f64 (-.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))) (+.f64 (-.f64 -2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) |
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) |
(/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) |
(/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))) |
(-.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) |
(-.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha (*.f64 alpha (*.f64 beta beta))) (pow.f64 (+.f64 alpha 2) 3))) |
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 1) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2))) (*.f64 -1 (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))))) |
(+.f64 (/.f64 (*.f64 alpha (*.f64 alpha (*.f64 beta beta))) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (-.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha (*.f64 alpha (pow.f64 beta 3))) (pow.f64 (+.f64 alpha 2) 4)))) |
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 1) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))))) |
(/.f64 (pow.f64 alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(/.f64 alpha (/.f64 beta alpha)) |
(*.f64 (/.f64 alpha beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) |
(-.f64 (/.f64 alpha (/.f64 beta alpha)) (*.f64 (/.f64 alpha (/.f64 beta alpha)) (/.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 alpha beta) alpha) (*.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (+.f64 alpha 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 alpha (/.f64 beta alpha)) (-.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (/.f64 alpha (/.f64 beta alpha)) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (*.f64 (/.f64 alpha beta) alpha) (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (/.f64 alpha (/.f64 beta alpha)) (-.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (/.f64 alpha (/.f64 beta alpha)) (/.f64 (+.f64 alpha 2) beta)))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta)))) (-.f64 (*.f64 (/.f64 alpha beta) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (*.f64 alpha alpha)))) |
(/.f64 (pow.f64 alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(/.f64 alpha (/.f64 beta alpha)) |
(*.f64 (/.f64 alpha beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) |
(-.f64 (/.f64 alpha (/.f64 beta alpha)) (*.f64 (/.f64 alpha (/.f64 beta alpha)) (/.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 alpha beta) alpha) (*.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (+.f64 alpha 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 alpha (/.f64 beta alpha)) (-.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (/.f64 alpha (/.f64 beta alpha)) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (*.f64 (/.f64 alpha beta) alpha) (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) |
(/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) |
(*.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) alpha) |
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1 |
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(-.f64 1 (/.f64 (fma.f64 2 beta 4) alpha)) |
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(-.f64 1 (+.f64 (/.f64 (fma.f64 2 beta 4) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 alpha alpha)))) |
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1 |
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha))) |
(-.f64 1 (/.f64 (fma.f64 2 beta 4) alpha)) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
(*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha) |
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(fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 alpha alpha) beta) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
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(+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 alpha alpha) beta) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 6))))) (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 alpha 2 4)) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (fma.f64 alpha 2 4) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 (pow.f64 (fma.f64 alpha 2 4) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 alpha alpha))))))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 (pow.f64 (fma.f64 alpha 2 4) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 alpha alpha)))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (fma.f64 alpha 2 4)))) |
(-.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) alpha) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 4)) (*.f64 alpha (*.f64 alpha (fma.f64 alpha 2 4))))) (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) alpha) (*.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (fma.f64 alpha 2 4) 2))) alpha)) (neg.f64 (*.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (*.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 6) (pow.f64 (fma.f64 alpha 2 4) 2))) alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 6)))) beta))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) |
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2)))))) |
(-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2))))))) |
(-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) (/.f64 (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (*.f64 alpha (pow.f64 (fma.f64 alpha 2 4) 2)))) (pow.f64 beta 4))) |
(-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) (/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (fma.f64 alpha 2 4) 2))) (pow.f64 beta 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 4 (*.f64 alpha 2)) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2)))))) (pow.f64 beta 5)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 4 (*.f64 alpha 2)) 2)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2)))))))) |
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) (/.f64 (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (*.f64 alpha (pow.f64 (fma.f64 alpha 2 4) 2)))) (pow.f64 beta 4))) (/.f64 (neg.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (*.f64 alpha (pow.f64 (fma.f64 alpha 2 4) 2)))) (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) (pow.f64 beta 5))) |
(+.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (fma.f64 alpha 2 4))) (-.f64 (/.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (fma.f64 alpha 2 4) 2))) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 5)) (/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (fma.f64 alpha 2 4) 2))) (pow.f64 beta 4)))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) |
(/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) |
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) |
(fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 alpha 2)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (neg.f64 (/.f64 (*.f64 -3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (/.f64 (*.f64 (*.f64 -3 (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 4))) |
(fma.f64 -2 (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 alpha 2)) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 3 (/.f64 (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 beta 4))))))) |
(fma.f64 2 (/.f64 (*.f64 -3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 5) (+.f64 alpha 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 5) (*.f64 alpha alpha))) (+.f64 (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (neg.f64 (/.f64 (*.f64 -3 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4)))))) |
(fma.f64 2 (/.f64 (*.f64 -3 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (pow.f64 beta 5)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (/.f64 (*.f64 (*.f64 -3 (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 4))))) |
(fma.f64 2 (/.f64 -3 (/.f64 (/.f64 (pow.f64 beta 5) alpha) (*.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 5)) (*.f64 alpha alpha)) (fma.f64 -2 (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 alpha 2)) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 3 (/.f64 (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2))))))) |
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 beta 2) alpha) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | -inf | (/.f64 (+.f64 beta 2) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 beta 2) alpha) |
| 1× | batch-egg-rewrite |
| 764× | pow1_binary64 |
| 716× | add-log-exp_binary64 |
| 715× | log1p-expm1-u_binary64 |
| 715× | expm1-log1p-u_binary64 |
| 703× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 136 | 7 |
| 2 | 1847 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 102 |
| 1 | 15 | 102 |
| 2 | 18 | 102 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 -2 alpha) beta) |
| ✓ | 0.0b | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
Compiled 46 to 26 computations (43.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
| 1.0ms | alpha | @ | inf | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
| 1.0ms | beta | @ | 0 | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
| 1.0ms | beta | @ | inf | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
| 1.0ms | alpha | @ | -inf | (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
| 1× | batch-egg-rewrite |
| 591× | log-prod_binary64 |
| 503× | fma-def_binary64 |
| 334× | pow2_binary64 |
| 317× | fma-neg_binary64 |
| 261× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 245 | 20 |
| 2 | 3851 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 beta) (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 -2 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 alpha) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -2 alpha) beta))))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 alpha) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -2 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 alpha) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (-.f64 -2 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 beta (-.f64 -2 alpha)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -2 alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 -2 beta)) (+.f64 1 (expm1.f64 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 beta)) (exp.f64 (/.f64 (neg.f64 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 beta)) (/.f64 1 (exp.f64 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 alpha) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 alpha) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 beta) (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 beta) (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 beta)) 2) (cbrt.f64 (/.f64 -2 beta)) (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 beta)) (sqrt.f64 (/.f64 -2 beta)) (/.f64 (neg.f64 alpha) beta)))))) |
| 1× | egg-herbie |
| 1567× | fma-neg_binary64 |
| 532× | fma-def_binary64 |
| 268× | cancel-sign-sub-inv_binary64 |
| 238× | distribute-rgt-in_binary64 |
| 146× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 591 |
| 1 | 91 | 532 |
| 2 | 184 | 448 |
| 3 | 408 | 392 |
| 4 | 883 | 392 |
| 5 | 2106 | 392 |
| 6 | 3150 | 392 |
| 7 | 3779 | 392 |
| 8 | 4291 | 392 |
| 9 | 4737 | 392 |
| 10 | 4765 | 392 |
| 11 | 4773 | 392 |
| 12 | 4773 | 392 |
| 13 | 5428 | 392 |
| 14 | 5428 | 392 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(*.f64 -2 (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(*.f64 -2 (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(/.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) alpha) beta) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
2 |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(/.f64 -2 beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
| Outputs |
|---|
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 -2 (/.f64 alpha beta)) |
(/.f64 (*.f64 -2 alpha) beta) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 -2 (/.f64 alpha beta)) |
(/.f64 (*.f64 -2 alpha) beta) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -2 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(/.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) alpha) beta) |
(/.f64 (-.f64 (+.f64 -2 (neg.f64 alpha)) alpha) beta) |
(/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) |
(/.f64 (fma.f64 -2 alpha -2) beta) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
2 |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 2 (-.f64 (/.f64 (*.f64 -2 alpha) beta) (/.f64 2 beta))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) 2) (/.f64 -2 beta)) |
(+.f64 2 (/.f64 (fma.f64 -2 alpha -2) beta)) |
(-.f64 2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(/.f64 -2 beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
(*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) |
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 2 beta)) |
(fma.f64 (/.f64 alpha beta) -1 (/.f64 -2 beta)) |
(/.f64 (-.f64 -2 alpha) beta) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha))) |
| ✓ | 0.2b | (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) |
| 2.1b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) | |
| ✓ | 3.1b | (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
Compiled 237 to 132 computations (44.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | beta | @ | inf | (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
| 3.0ms | alpha | @ | 0 | (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha))) |
| 2.0ms | beta | @ | 0 | (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
| 2.0ms | beta | @ | -inf | (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
| 2.0ms | alpha | @ | -inf | (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
| 1× | batch-egg-rewrite |
| 398× | log1p-udef_binary64 |
| 240× | add-sqr-sqrt_binary64 |
| 235× | *-un-lft-identity_binary64 |
| 235× | pow1_binary64 |
| 225× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 75 |
| 1 | 486 | 48 |
| 2 | 7874 | 48 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)) (*.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) (fma.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)) 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)) 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| 1× | egg-herbie |
| 714× | times-frac_binary64 |
| 406× | *-commutative_binary64 |
| 352× | +-commutative_binary64 |
| 326× | sub-neg_binary64 |
| 272× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1152 | 20347 |
| 1 | 4586 | 19248 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (/.f64 alpha (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 (*.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 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 alpha (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 alpha (+.f64 2 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(/.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 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)))) alpha))))))) |
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)))) alpha)))) alpha)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 4)) (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)))) alpha)))))))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) 1)) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) alpha) (pow.f64 beta 2)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (pow.f64 alpha 2) (*.f64 -2 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) alpha)))) alpha)) (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) (pow.f64 alpha 2))) (pow.f64 beta 3))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) alpha) (pow.f64 beta 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))) (+.f64 (*.f64 2 (/.f64 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 2 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)))) (pow.f64 alpha 2))) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 2 (/.f64 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 2))))) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 beta 3))) (*.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) beta))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) |
1 |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 beta alpha))) |
(-.f64 (+.f64 1 (+.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 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 beta 2) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))))))))) (pow.f64 alpha 3))) (+.f64 1 (+.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 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2))))) |
| Outputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (neg.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
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1 |
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1 |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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1 |
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1 |
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1 |
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(+.f64 (/.f64 (*.f64 alpha 2) beta) (fma.f64 2 (/.f64 alpha beta) (+.f64 1 (/.f64 4 beta)))) |
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(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 (fma.f64 -2 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (*.f64 -2 (/.f64 (+.f64 4 (fma.f64 alpha 2 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) alpha))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (pow.f64 alpha 2) (*.f64 -2 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) alpha)))) alpha)) (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) (pow.f64 alpha 2))) (pow.f64 beta 3))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) alpha) (pow.f64 beta 2)))))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -2 (*.f64 alpha (-.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (*.f64 (*.f64 -2 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2)))) alpha))) (*.f64 (*.f64 alpha alpha) (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))))) (pow.f64 beta 3))))) (+.f64 (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 -2 (/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))) (/.f64 (*.f64 beta beta) alpha))))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (fma.f64 -2 (*.f64 alpha (+.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha (+.f64 4 (fma.f64 alpha 2 (*.f64 alpha 2))))))) (*.f64 (*.f64 alpha alpha) (+.f64 4 (fma.f64 alpha 2 (*.f64 alpha 2))))) (pow.f64 beta 3))))) (+.f64 (fma.f64 -2 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (*.f64 -2 (/.f64 (+.f64 4 (fma.f64 alpha 2 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) alpha))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta))) |
(-.f64 1 (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))) (+.f64 (*.f64 2 (/.f64 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta))) (fma.f64 2 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta))) (fma.f64 2 (*.f64 (/.f64 alpha beta) (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 2 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)))) (pow.f64 alpha 2))) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 2 (/.f64 (*.f64 alpha (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha))) (pow.f64 beta 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 beta 3) (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)))) 1) (fma.f64 2 (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (*.f64 alpha (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2))) (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta))))) (fma.f64 2 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (fma.f64 alpha -2 (fma.f64 alpha -2 -4))) (pow.f64 beta 3)) 1) (fma.f64 2 (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 2 (*.f64 alpha (fma.f64 alpha -2 (fma.f64 alpha -2 -4))) (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta)))) (fma.f64 2 (*.f64 (/.f64 alpha beta) (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))) |
(fma.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) alpha (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) alpha (fma.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 beta 4)))) (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 beta 3))) (*.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) beta))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 3)))) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 4)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) alpha (fma.f64 (-.f64 (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 5)) (+.f64 (+.f64 (/.f64 4 (pow.f64 beta 4)) (/.f64 2 (pow.f64 beta 3))) (*.f64 -2 (/.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 beta 4)))) beta)))) (pow.f64 alpha 3) (fma.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -2 (/.f64 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)) (/.f64 (*.f64 -2 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))) beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 beta 4)))) (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) |
1 |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) (*.f64 -2 (/.f64 beta alpha))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha)) (*.f64 -2 (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha)) (*.f64 2 (/.f64 beta alpha)))) |
(-.f64 (+.f64 1 (+.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 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 -2 (/.f64 beta alpha)))))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 4 (fma.f64 2 beta (*.f64 2 beta))))) (+.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 -2 (/.f64 beta alpha)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 beta 2) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))))))))) (pow.f64 alpha 3))) (+.f64 1 (+.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 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (*.f64 beta beta) (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))) (*.f64 (*.f64 beta -2) (-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 (*.f64 beta -2) (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))))))) (pow.f64 alpha 3)) (+.f64 1 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 -2 (/.f64 beta alpha))))) |
(-.f64 (-.f64 (+.f64 1 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 4 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) (/.f64 (fma.f64 (*.f64 beta beta) (+.f64 4 (fma.f64 2 beta (*.f64 2 beta))) (*.f64 (*.f64 beta -2) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 (*.f64 2 beta) (+.f64 4 (fma.f64 2 beta (*.f64 2 beta))))))) (pow.f64 alpha 3))) (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 4 (fma.f64 2 beta (*.f64 2 beta))))) (+.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 -2 (/.f64 beta alpha))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)) alpha))) |
(-.f64 1 (/.f64 (fma.f64 beta -2 (fma.f64 beta -2 -4)) alpha)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)))))))) |
(+.f64 (-.f64 (+.f64 (-.f64 1 (/.f64 (fma.f64 beta -2 (fma.f64 beta -2 -4)) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (fma.f64 beta -2 (fma.f64 beta -2 -4)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)))) 1) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 (*.f64 2 beta) (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)))))) (fma.f64 -1 (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2))))))) |
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 alpha 3) (fma.f64 beta -2 (fma.f64 beta -2 -4)))) 1) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (+.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 (*.f64 beta -2) (fma.f64 beta -2 (fma.f64 beta -2 -4)))))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -2 (fma.f64 beta -2 -4)) alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (fma.f64 beta -2 (fma.f64 beta -2 -4)))))) |
Compiled 73020 to 51644 computations (29.3% saved)
28 alts after pruning (17 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1018 | 6 | 1024 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 10 | 11 |
| Total | 1022 | 28 | 1050 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 49.7b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) | |
| 40.6b | (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) 1)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) | |
| 35.1b | (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) | |
| ✓ | 33.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 43.1b | (/.f64 (+.f64 2 (/.f64 -2 beta)) 2) | |
| 58.7b | (/.f64 (/.f64 (*.f64 2 beta) alpha) 2) | |
| 43.4b | (/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) | |
| ✓ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
| 16.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) alpha -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) | |
| 17.0b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) | |
| 41.2b | (/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) | |
| 17.5b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 46.5b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ✓ | 48.9b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 33.6b | (/.f64 1 2) |
| ✓ | 35.1b | (/.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
| 33.2b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| 34.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 48.7b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
| 39.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) | |
| ✓ | 45.8b | (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
| 35.0b | (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (+.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) | |
| ✓ | 38.6b | (/.f64 2 2) |
| 61.1b | (/.f64 (/.f64 beta alpha) 2) | |
| 58.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) | |
| ✓ | 15.4b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
Compiled 636 to 448 computations (29.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (+.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
(/.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) alpha -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.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))) 2) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) |
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) 1)) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) |
(/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1))) 3) 1/3) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) 2) |
(/.f64 (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))) 2) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 2) alpha)) -1))) 2) |
(/.f64 (fma.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)))) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))) 2) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 1) 3) 1/3) 2) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
8 calls:
| 62.0ms | beta |
| 41.0ms | alpha |
| 34.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 31.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.2b | 3 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 1147 to 773 computations (32.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999978326964 | -0.9989588055894747 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
8 calls:
| 38.0ms | beta |
| 26.0ms | alpha |
| 17.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.7b | 3 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 338 to 244 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999978326964 | -0.9989588055894747 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
8 calls:
| 94.0ms | alpha |
| 48.0ms | beta |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 14.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.7b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 304 to 218 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999978326964 | -0.9989588055894747 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 126.0ms | alpha |
| 62.0ms | beta |
| 24.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 24.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 14.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.7b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 289 to 208 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999978326964 | -0.9989588055894747 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 121.0ms | alpha |
| 76.0ms | beta |
| 24.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 23.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.7b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 274 to 198 computations (27.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999978326964 | -0.9989588055894747 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 2 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta)) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (neg.f64 alpha) beta)) 2) |
(/.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 (-.f64 -2 alpha) beta)) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
2 calls:
| 43.0ms | beta |
| 22.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 2 | alpha |
| 15.7b | 3 | beta |
Compiled 169 to 126 computations (25.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 63654402254231256.0 | 17107455321458637000.0 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
2 calls:
| 28.0ms | beta |
| 16.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 2 | alpha |
| 15.7b | 4 | beta |
Compiled 89 to 69 computations (22.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 0.3287398345461473 | 14381664196.010927 |
| 29.0ms | 4.3190801681527193e-212 | 9.162859713024329e-209 |
| 29.0ms | 4.133474064435733e-246 | 1.9700335712087312e-240 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 (+.f64 2 (/.f64 -2 beta)) 2) |
2 calls:
| 27.0ms | beta |
| 13.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 2 | alpha |
| 16.7b | 4 | beta |
Compiled 80 to 62 computations (22.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 14381664196.010927 | 93547575184915.13 |
| 29.0ms | 4.3190801681527193e-212 | 9.162859713024329e-209 |
| 27.0ms | 4.133474064435733e-246 | 1.9700335712087312e-240 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 97.0ms | beta |
| 13.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 20.3b | 3 | alpha |
| 16.7b | 4 | beta |
Compiled 34 to 28 computations (17.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 14381664196.010927 | 93547575184915.13 |
| 27.0ms | 4.3190801681527193e-212 | 9.162859713024329e-209 |
| 30.0ms | 4.133474064435733e-246 | 1.9700335712087312e-240 |
Compiled 20 to 15 computations (25% saved)
Total -36.4b remaining (-203.1%)
Threshold costs -36.4b (-203.1%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 9.0ms | alpha |
| 6.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 29.7b | 3 | alpha |
| 17.9b | 2 | beta |
Compiled 14 to 12 computations (14.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 14381664196.010927 | 93547575184915.13 |
Compiled 20 to 15 computations (25% saved)
| 1× | egg-herbie |
| 43× | +-commutative_binary64 |
| 33× | sub-neg_binary64 |
| 31× | neg-sub0_binary64 |
| 31× | neg-mul-1_binary64 |
| 25× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 474 |
| 1 | 110 | 474 |
| 2 | 138 | 474 |
| 3 | 159 | 474 |
| 4 | 199 | 474 |
| 5 | 257 | 474 |
| 6 | 315 | 474 |
| 7 | 369 | 474 |
| 8 | 398 | 474 |
| 9 | 402 | 474 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 63654402254231256) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2)) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2961025192727735/9007199254740992) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 1 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 1 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 2) alpha))) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) 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)) -8998192055486251/9007199254740992) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 63654402254231256) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2)) |
(if (<=.f64 alpha 63654402254231256) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) 2)) |
(if (<=.f64 alpha 63654402254231256) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2)) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2961025192727735/9007199254740992) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 1 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) 1/2 (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) 1/2 (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (/.f64 1 2) (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 8134885664405331/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) 1/2 (if (<=.f64 beta 1023170486931501/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 7540133957998177/524288) 1/2 1))) |
(if (<=.f64 beta 7540133957998177/524288) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 7540133957998177/524288) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 347 to 253 computations (27.1% saved)
| 1× | egg-herbie |
| 951× | times-frac_binary64 |
| 674× | associate-/l*_binary64 |
| 400× | cancel-sign-sub-inv_binary64 |
| 337× | distribute-rgt-in_binary64 |
| 301× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 2700 |
| 1 | 873 | 2555 |
| 2 | 3227 | 2312 |
| 1× | node limit |
Compiled 946 to 714 computations (24.5% saved)
Compiled 327 to 225 computations (31.2% saved)
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