Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 1.1s | 6514× | body | 256 | valid |
| 364.0ms | 1007× | body | 1024 | valid |
| 166.0ms | 627× | body | 512 | valid |
| 49.0ms | 108× | body | 2048 | valid |
| 2× | egg-herbie |
| 954× | fma-neg_binary64 |
| 548× | div-sub_binary64 |
| 439× | sub-neg_binary64 |
| 372× | times-frac_binary64 |
| 269× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 39 | 38 |
| 2 | 64 | 38 |
| 3 | 109 | 38 |
| 4 | 203 | 38 |
| 5 | 404 | 34 |
| 6 | 861 | 34 |
| 7 | 2067 | 34 |
| 8 | 5489 | 34 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 496× | sub-neg_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 399× | associate-/l*_binary64 |
| 372× | div-sub_binary64 |
| 352× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 67 | 19 |
| 4 | 119 | 19 |
| 5 | 240 | 17 |
| 6 | 449 | 17 |
| 7 | 756 | 17 |
| 8 | 1582 | 17 |
| 9 | 3687 | 17 |
| 10 | 7455 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1/2 1/2) |
Compiled 77 to 49 computations (36.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 1 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 2 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.6b | (/.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)) |
| ✓ | 2.6b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.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 | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1× | batch-egg-rewrite |
| 585× | fma-def_binary64 |
| 578× | log-prod_binary64 |
| 369× | fma-neg_binary64 |
| 328× | pow2_binary64 |
| 224× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 243 | 29 |
| 2 | 3788 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) 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| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
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1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
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(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
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-1 |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1) |
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (-.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
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1 |
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1 |
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(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (neg.f64 alpha) (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 4 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) -2))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
Compiled 11718 to 7763 computations (33.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 8 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 382 | 9 | 391 |
| Status | Error | Program |
|---|---|---|
| 47.9b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| 46.9b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) | |
| ▶ | 31.1b | (/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) 2) |
| ▶ | 30.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.6b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ▶ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 61.7b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 46.9b | (/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
| ▶ | 40.3b | (/.f64 2 2) |
Compiled 245 to 187 computations (23.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 1× | batch-egg-rewrite |
| 882× | pow1_binary64 |
| 828× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 814× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2201 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) |
| 1× | egg-herbie |
| 632× | fma-def_binary64 |
| 439× | times-frac_binary64 |
| 387× | unswap-sqr_binary64 |
| 369× | associate-/l*_binary64 |
| 288× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1416 |
| 1 | 459 | 1242 |
| 2 | 1471 | 1152 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta)) |
(*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 1/8 beta)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 1/8 beta))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 (*.f64 1/2 beta) 1) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1) |
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1)) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1)) |
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 1/8 beta))) (fma.f64 1/2 beta 1)) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (fma.f64 beta -2 4))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) beta) -2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 2.1b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 849× | add-log-exp_binary64 |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 835× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2193 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 460× | associate-/l*_binary64 |
| 343× | unswap-sqr_binary64 |
| 316× | times-frac_binary64 |
| 285× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1340 |
| 1 | 493 | 1217 |
| 2 | 1615 | 1129 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (*.f64 alpha alpha)))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.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 (*.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 (*.f64 alpha alpha) -1/4 (*.f64 (pow.f64 alpha 3) 1/8))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 (*.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 (*.f64 alpha alpha) -1/4 (*.f64 (pow.f64 alpha 3) 1/8)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha 1/8) -1/4)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (-.f64 1 (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 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 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (-.f64 1 (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.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)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 alpha 2) alpha) -2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha alpha (fma.f64 alpha -2 4))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2))) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| ✓ | 0.0b | (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) |
Compiled 52 to 37 computations (28.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) |
| 1.0ms | beta | @ | inf | (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| 1× | egg-rewrite-iter-limit |
| 2× | egg-rewrite |
| 1× | batch-egg-rewrite |
| 795× | pow1_binary64 |
| 747× | add-log-exp_binary64 |
| 746× | log1p-expm1-u_binary64 |
| 746× | expm1-log1p-u_binary64 |
| 736× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 209 | 21 |
| 2 | 3265 | 21 |
| 0 | 7 | 9 |
| 1 | 161 | 7 |
| 2 | 2391 | 7 |
| 0 | 9 | 12 |
| 1 | 209 | 12 |
| 2 | 3265 | 12 |
| 0 | 9 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 -1 beta) (+.f64 beta 2)) |
(/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (*.f64 (+.f64 beta -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta beta) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta beta) 3) 8) (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 4 (*.f64 (+.f64 beta beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) (+.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta -1 (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))))))) |
| 1× | egg-herbie |
| 515× | fma-def_binary64 |
| 500× | distribute-rgt-in_binary64 |
| 473× | fma-neg_binary64 |
| 450× | distribute-lft-in_binary64 |
| 251× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 863 |
| 1 | 374 | 725 |
| 2 | 1513 | 616 |
| 3 | 7868 | 616 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(/.f64 -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 beta (+.f64 beta -2)) |
(+.f64 beta (*.f64 (+.f64 beta -2) 1)) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta -2) beta) |
(+.f64 (+.f64 beta beta) -2) |
(*.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(*.f64 1 (+.f64 beta (+.f64 beta -2))) |
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta (+.f64 beta 2)))) |
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(/.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 beta 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta beta) 3) 8) (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 4 (*.f64 (+.f64 beta beta) 2)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) (+.f64 beta (+.f64 beta 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2))) |
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3) |
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2) |
(neg.f64 (+.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2)) |
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2)))) |
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2)))) |
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2)))) |
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2)))) |
(fma.f64 -1 beta (+.f64 beta -2)) |
(fma.f64 beta -1 (+.f64 beta -2)) |
(fma.f64 1 beta (+.f64 beta -2)) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2)) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 1 alpha)) |
(*.f64 1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) 1) |
(log.f64 (exp.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(+.f64 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(+.f64 beta (*.f64 (+.f64 beta -2) 1)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (+.f64 (+.f64 -2 beta) (+.f64 beta 2))) |
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2))) |
(fma.f64 beta 2 (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta -2) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta beta) -2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 1 (+.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta beta) 2))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (fma.f64 beta 2 2) (*.f64 beta beta))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta (+.f64 beta 2)))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 (+.f64 beta beta) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 beta 2)) |
(/.f64 (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) -2)) |
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
-2 |
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta beta) 2))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (fma.f64 beta 2 2) (*.f64 beta beta))) |
(/.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 (+.f64 beta beta) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 beta 2)) |
(/.f64 (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) -2)) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta beta) 2))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (fma.f64 beta 2 2) (*.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 beta 2))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 (+.f64 beta beta) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 beta 2)) |
(/.f64 (fma.f64 beta 2 2) (/.f64 (fma.f64 beta 2 2) -2)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta beta) 2))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 (+.f64 beta 2) (fma.f64 beta 2 2) (*.f64 beta beta))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 2 beta -2)) |
(/.f64 (fma.f64 4 beta 4) (fma.f64 beta 2 -2)) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta beta) 3) 8) (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 4 (*.f64 (+.f64 beta beta) 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta beta) 3) -8) (fma.f64 (+.f64 beta beta) (+.f64 beta beta) (+.f64 4 (*.f64 2 (+.f64 beta beta))))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 beta 3)) -8) (+.f64 (*.f64 beta (*.f64 4 beta)) (+.f64 4 (*.f64 4 beta)))) |
(/.f64 (fma.f64 8 (pow.f64 beta 3) -8) (+.f64 4 (*.f64 beta (fma.f64 4 beta 4)))) |
(/.f64 (fma.f64 (pow.f64 beta 3) 8 -8) (+.f64 4 (*.f64 beta (fma.f64 4 beta 4)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 -2 beta) 3)) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 -2 beta) (+.f64 -2 beta)) (*.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 -2 beta) 3)) (-.f64 (fma.f64 beta beta (*.f64 (+.f64 -2 beta) (+.f64 -2 beta))) (*.f64 beta (+.f64 beta 2)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 -2 beta) 3)) (fma.f64 (+.f64 -2 beta) (+.f64 -2 beta) (*.f64 -2 beta))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) (+.f64 beta (+.f64 beta 2))) |
(/.f64 (fma.f64 (+.f64 beta beta) (+.f64 beta beta) -4) (+.f64 (+.f64 beta beta) 2)) |
(/.f64 (+.f64 (*.f64 beta (*.f64 4 beta)) -4) (fma.f64 2 beta 2)) |
(/.f64 (fma.f64 beta (*.f64 beta 4) -4) (fma.f64 beta 2 2)) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(neg.f64 (+.f64 beta (+.f64 beta 2))) |
(fma.f64 -2 beta -2) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(fma.f64 -1 beta (+.f64 beta -2)) |
-2 |
(fma.f64 beta -1 (+.f64 beta -2)) |
-2 |
(fma.f64 1 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 2 beta -2) |
(fma.f64 beta 2 -2) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 1 alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) (cbrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) 1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(log.f64 (exp.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(exp.f64 (log.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| ✓ | 0.1b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
| ✓ | 1.2b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| ✓ | 3.7b | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
Compiled 143 to 86 computations (39.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | alpha | @ | 0 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| 4.0ms | beta | @ | 0 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| 4.0ms | beta | @ | inf | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| 4.0ms | beta | @ | -inf | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| 3.0ms | alpha | @ | -inf | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| 1× | batch-egg-rewrite |
| 604× | fma-def_binary64 |
| 478× | fma-neg_binary64 |
| 304× | log-div_binary64 |
| 294× | expm1-udef_binary64 |
| 294× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 88 |
| 1 | 322 | 70 |
| 2 | 5056 | 70 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -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 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.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 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))))) |
| 1× | egg-herbie |
| 800× | fma-def_binary64 |
| 630× | times-frac_binary64 |
| 510× | distribute-rgt-in_binary64 |
| 289× | *-commutative_binary64 |
| 244× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1133 | 19275 |
| 1 | 3786 | 18117 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) 1) |
(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3)))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 4))))))))) |
(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))) 1) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) 1) |
(*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)))))) |
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(*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
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(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
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(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
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(-.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)) |
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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))) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
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(+.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))) |
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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 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1))) |
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1/2 |
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(/.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) 1) (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1)) |
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(/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) |
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(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))))))))) |
(*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) alpha))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2))))))) |
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 1) |
(*.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 1) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 2) |
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3)) |
(expm1.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(expm1.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) 1)) |
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1 -1) |
(fma.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
(fma.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) -1) |
(fma.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) -1) |
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(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) |
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)) |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) 1)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) 1)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (/.f64 (*.f64 -2 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) alpha)) (+.f64 alpha 2))) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))) 1)) |
(+.f64 (+.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (*.f64 (pow.f64 beta 3) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha))))))) -1) |
(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) |
(/.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) beta) |
(/.f64 (+.f64 (fma.f64 alpha -2 -4) (*.f64 alpha -2)) beta) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta)))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2)))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (fma.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -2 (/.f64 alpha beta) (fma.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2)))) (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (+.f64 (fma.f64 -2 (/.f64 alpha beta) (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (fma.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (fma.f64 alpha -1 -2) alpha)))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(*.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta)) |
(*.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha)))))) |
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(*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(*.f64 -2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(*.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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(*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(*.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
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(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 -1 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) |
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(-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
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(fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))))) |
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) |
(/.f64 (neg.f64 (fma.f64 alpha 2 2)) 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 -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)))) |
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(-.f64 (-.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (/.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)))) |
(-.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)))))) |
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(-.f64 (+.f64 (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 4)))) |
(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
(/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta) |
(/.f64 (-.f64 (fma.f64 alpha -1 -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 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (/.f64 (neg.f64 alpha) beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (/.f64 (fma.f64 alpha -1 -2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 -1 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 2 beta)) -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 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) -1) |
(fma.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha (+.f64 (/.f64 beta (+.f64 2 beta)) -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 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))) -1) |
(+.f64 (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 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) |
(+.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) -1) |
(+.f64 (-.f64 (-.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3))) -1) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -2) |
(fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) 2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))) (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (+.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))) (+.f64 (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (+.f64 2 (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) 2) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) -2) |
(fma.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) alpha))) -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) |
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(/.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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(fma.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) 1) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1) |
(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) |
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1/2 |
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(/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) |
(/.f64 alpha (-.f64 beta (+.f64 (neg.f64 beta) -2))) |
(/.f64 alpha (+.f64 beta (+.f64 2 beta))) |
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(+.f64 (/.f64 alpha (-.f64 beta (+.f64 (neg.f64 beta) -2))) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) alpha)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (*.f64 alpha (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))))))) |
(-.f64 (fma.f64 -1/2 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 2 beta)))) (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta)))) (/.f64 alpha (+.f64 beta (+.f64 2 beta)))) (*.f64 -1/2 (+.f64 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (+.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))) alpha)) (+.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (/.f64 alpha (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) alpha))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))))) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 alpha 2)))))))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 alpha alpha) (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (+.f64 (/.f64 alpha (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (*.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) alpha)) (fma.f64 -1/2 (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (*.f64 alpha (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (*.f64 -1/2 (-.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))))) (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))))) (*.f64 alpha alpha)))))))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 beta (+.f64 2 beta)))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 beta)))) (fma.f64 -1/2 (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta))) (/.f64 alpha (+.f64 beta (+.f64 2 beta)))))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (fma.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (*.f64 2 (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (+.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))) alpha)) (*.f64 -1/2 (+.f64 (+.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (fma.f64 (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))) (+.f64 beta (+.f64 2 beta))) (*.f64 (/.f64 -2 alpha) (/.f64 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) alpha)) (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (+.f64 beta (+.f64 2 beta))) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (+.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 2 beta 2) (+.f64 beta (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (/.f64 (*.f64 -2 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))))) (*.f64 alpha alpha))))))))) |
(*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) |
(/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) |
(fma.f64 -1 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) |
(-.f64 (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2)) |
(+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) alpha)))) |
(fma.f64 -1 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (*.f64 -1 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1/2 (/.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 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (/.f64 (*.f64 1/2 (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) alpha)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2)) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2))) (*.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (+.f64 (+.f64 2 beta) (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) alpha))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.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 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 alpha 2))))))) |
(-.f64 (fma.f64 -1 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (*.f64 -1 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1/2 (/.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 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (/.f64 (*.f64 1/2 (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) alpha))))) (fma.f64 -1/2 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (fma.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) (*.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.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)))) (*.f64 alpha alpha))) (*.f64 -1/2 (*.f64 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 -1/2 (/.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 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (/.f64 (*.f64 1/2 (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (+.f64 1/2 (/.f64 (*.f64 -1/2 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (*.f64 alpha alpha))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2))) (*.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (+.f64 (+.f64 2 beta) (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))))) alpha)) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 3 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (*.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (+.f64 (+.f64 2 beta) (+.f64 2 beta)))) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2) (*.f64 alpha alpha))) (*.f64 (/.f64 -1/2 (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (fma.f64 1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (*.f64 -2 (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) 1/2))) (*.f64 -1/2 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (*.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (+.f64 (+.f64 2 beta) (+.f64 2 beta)))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)))))) (-.f64 (neg.f64 beta) (+.f64 2 beta))))))) |
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 4) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 4) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) (/.f64 -1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(*.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
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(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 2))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 2)) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 4) 1) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 6)))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 4) 1) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 6)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1)) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 4)))) |
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 1) 1) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) |
(/.f64 (+.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) 2))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2))) |
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) 2)) |
(fabs.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) 3) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
Compiled 47891 to 34421 computations (28.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 869 | 8 | 877 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 873 | 13 | 886 |
| Status | Error | Program |
|---|---|---|
| 46.9b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) | |
| 49.6b | (/.f64 (/.f64 2 alpha) 2) | |
| 46.9b | (/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 beta)))) 2) | |
| ▶ | 14.6b | (/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2) |
| ▶ | 50.8b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| ▶ | 45.2b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 30.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 31.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 14.6b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 32.7b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 40.3b | (/.f64 2 2) |
| ▶ | 30.5b | (/.f64 1 2) |
Compiled 232 to 190 computations (18.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
| ✓ | 0.0b | (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) |
| ✓ | 2.6b | (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
Compiled 82 to 43 computations (47.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | alpha | @ | -inf | (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
| 2.0ms | beta | @ | 0 | (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
| 2.0ms | alpha | @ | inf | (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
| 2.0ms | alpha | @ | 0 | (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))) |
| 1.0ms | alpha | @ | inf | (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
| 1× | batch-egg-rewrite |
| 645× | log-prod_binary64 |
| 644× | fma-def_binary64 |
| 358× | fma-neg_binary64 |
| 276× | log-div_binary64 |
| 243× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 295 | 51 |
| 2 | 4307 | 51 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) |
(/.f64 1 (+.f64 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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 415× | fma-neg_binary64 |
| 338× | fma-def_binary64 |
| 294× | +-commutative_binary64 |
| 264× | distribute-rgt-in_binary64 |
| 249× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 10015 |
| 1 | 1854 | 9550 |
| 2 | 7396 | 9476 |
| 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 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 1/4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 (*.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))) |
1/2 |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.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 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))))) |
(/.f64 alpha (+.f64 2 (*.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) |
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 -1 (+.f64 -1 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) -1) (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) -1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(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))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(+.f64 0 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2)) |
(*.f64 -1 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (+.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)))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
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))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 (+.f64 alpha 2) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (/.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 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 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(fma.f64 2 (/.f64 beta alpha) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.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))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.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 (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))) |
(+.f64 (-.f64 (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 (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.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) 2) beta)) alpha) |
(/.f64 (neg.f64 (-.f64 (fma.f64 beta -1 -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 (neg.f64 (-.f64 (-.f64 (neg.f64 beta) 2) beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 beta -1 -2) beta)) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) 2) beta) alpha))) |
(+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (-.f64 (fma.f64 beta -1 -2) beta) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) 2) beta) alpha))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (-.f64 (fma.f64 beta -1 -2) beta) alpha))) |
(-.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)))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
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))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
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(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 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 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (-.f64 (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))) (fma.f64 -1 (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (-.f64 (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))))) (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))))) (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)) |
(fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/4 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) |
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 1/4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 (*.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 1/4 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))))))) (pow.f64 beta 3)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 alpha 2 2) beta) 1/4 1/2) (/.f64 (neg.f64 (fma.f64 1/4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1/8 (pow.f64 (fma.f64 alpha 2 2) 2)))) (*.f64 beta beta))) (/.f64 (fma.f64 1/8 (*.f64 (fma.f64 alpha 2 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 1/2 (*.f64 (fma.f64 alpha 2 2) (fma.f64 1/4 (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1/8 (pow.f64 (fma.f64 alpha 2 2) 2)))) (*.f64 1/4 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha))))) (pow.f64 beta 3))) |
1/2 |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2) |
(fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) |
(fma.f64 -1/4 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) 1/2) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/4)) (*.f64 beta beta)))) |
(-.f64 (fma.f64 -1/4 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) 1/2) (/.f64 (fma.f64 (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) -1/4 (*.f64 -1/8 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 beta beta))) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) |
(fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/4)))) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/4)) (*.f64 beta beta)) (fma.f64 -1/8 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -1/4)))))) |
(fma.f64 -1/4 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (+.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) -1/4 (/.f64 -1/8 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))))) (/.f64 (fma.f64 (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) -1/4 (*.f64 -1/8 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 beta beta))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (fma.f64 (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) -1/4 (*.f64 -1/8 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2)))) 1/2))) |
(fma.f64 -1/4 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 -1/8 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 3))) (pow.f64 beta 3)) (+.f64 1/2 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)) -1/4 (/.f64 -1/8 (/.f64 (pow.f64 beta 3) (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))))) (/.f64 (fma.f64 (*.f64 (+.f64 alpha 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) -1/4 (*.f64 -1/8 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2))) (*.f64 beta beta)))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) alpha))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.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)) |
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(/.f64 alpha (+.f64 2 (*.f64 2 beta))) |
(/.f64 alpha (fma.f64 2 beta 2)) |
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(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (fma.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) -1))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (fma.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 2 (+.f64 alpha beta))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)) 1) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 2 (+.f64 alpha beta))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) -1))) |
(-.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(fma.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta)) -1))) |
(-.f64 (/.f64 (*.f64 beta (+.f64 alpha (-.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(fma.f64 (+.f64 alpha (-.f64 beta 2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (fma.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) |
(+.f64 0 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 -1 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -2) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -2) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1) 1) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1/2) 2) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) -2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1)) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
Compiled 7 to 7 computations (0% saved)
Compiled 21 to 17 computations (19% saved)
Compiled 19 to 15 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 0.1b | (/.f64 4 (*.f64 alpha alpha)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 613× | unpow-prod-down_binary64 |
| 394× | log-prod_binary64 |
| 375× | fma-def_binary64 |
| 247× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 191 | 17 |
| 2 | 2795 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 alpha alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 605× | fma-neg_binary64 |
| 456× | unswap-sqr_binary64 |
| 314× | div-sub_binary64 |
| 240× | sqr-pow_binary64 |
| 208× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 4294970614 |
| 1 | 1212 | 2805 |
| 2 | 4143 | 2769 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 0 (*.f64 4 (pow.f64 alpha -2))) |
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(fma.f64 -1 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha)) |
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)) |
| Outputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(*.f64 -4 (pow.f64 alpha -2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 0 (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 (/.f64 1 (neg.f64 alpha)) 2)) |
(*.f64 4 (pow.f64 (/.f64 -1 alpha) 2)) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 2 (*.f64 (pow.f64 alpha -1) (/.f64 2 alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 1 (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 -4 (/.f64 1 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 -4 (pow.f64 (/.f64 1 (*.f64 alpha (neg.f64 alpha))) 1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 alpha -2) 4) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (/.f64 4 alpha) (pow.f64 alpha -1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 (*.f64 (/.f64 2 alpha) 2) (pow.f64 alpha -1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 1 1/3) (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (*.f64 (/.f64 2 alpha) 2) 1) (pow.f64 alpha -1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (cbrt.f64 4) 3) (pow.f64 alpha -2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (pow.f64 64 1/3) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 alpha -2) (cbrt.f64 64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 alpha -4)) 4) 1/3) (cbrt.f64 (pow.f64 alpha -2))) |
(*.f64 (cbrt.f64 (*.f64 4 (*.f64 16 (pow.f64 alpha -4)))) (cbrt.f64 (pow.f64 alpha -2))) |
(*.f64 (cbrt.f64 (*.f64 64 (pow.f64 alpha -4))) (cbrt.f64 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) 2) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) 2) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 16))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 2 alpha) 5/2) 2) 1/3) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 2 alpha) 5/2) 2))) |
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 5))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha alpha) 1/4)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha 1/4))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 alpha (*.f64 alpha 1/4))) 2)) |
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (/.f64 2 alpha) 2) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2) |
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) |
(fabs.f64 (*.f64 -4 (pow.f64 alpha -2))) |
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) -3) 2/3) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 alpha 1/2) -3)) (cbrt.f64 (pow.f64 (*.f64 alpha 1/2) -3))) |
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3) |
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6))) |
(pow.f64 (*.f64 (*.f64 alpha alpha) 1/4) -1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (*.f64 alpha 1/2) -2) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) 1/4) 1) -1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) |
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(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 4 (neg.f64 alpha))) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 alpha -4)) (pow.f64 alpha -3)) |
(*.f64 (*.f64 (neg.f64 alpha) (fma.f64 alpha -2 4)) (pow.f64 alpha -3)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 4 (neg.f64 alpha))) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 alpha -4)) (pow.f64 alpha -3)) |
(*.f64 (*.f64 (neg.f64 alpha) (fma.f64 alpha -2 4)) (pow.f64 alpha -3)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 4 (neg.f64 alpha))) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 alpha -4)) (pow.f64 alpha -3)) |
(*.f64 (*.f64 (neg.f64 alpha) (fma.f64 alpha -2 4)) (pow.f64 alpha -3)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 4 (neg.f64 alpha))) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 alpha -4)) (pow.f64 alpha -3)) |
(*.f64 (*.f64 (neg.f64 alpha) (fma.f64 alpha -2 4)) (pow.f64 alpha -3)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) 1) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) 1) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) 1) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) 1) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 (pow.f64 alpha -6) -64)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 -4 (pow.f64 alpha -2))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) |
(/.f64 (fma.f64 -4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) |
(/.f64 (fma.f64 -4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) |
(/.f64 (fma.f64 -4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (+.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 -16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(/.f64 (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -4) -16)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) |
(/.f64 (fma.f64 -4 (pow.f64 alpha -2) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 -4 (pow.f64 alpha -2) (/.f64 -2 alpha))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 -4 (pow.f64 alpha -2))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 -1 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
Compiled 27228 to 20246 computations (25.6% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 778 | 2 | 780 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 779 | 14 | 793 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.8b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
| ▶ | 46.9b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 49.6b | (/.f64 (/.f64 2 alpha) 2) |
| 46.9b | (/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 beta)))) 2) | |
| ▶ | 30.0b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
| ✓ | 50.8b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| ✓ | 45.2b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 30.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 31.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 14.6b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 32.7b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 40.3b | (/.f64 2 2) |
| ✓ | 30.5b | (/.f64 1 2) |
Compiled 210 to 173 computations (17.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 alpha (+.f64 alpha 2)) | |
| ✓ | 0.0b | (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 2.1b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 53 to 41 computations (22.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 1.0ms | alpha | @ | -inf | (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 1.0ms | alpha | @ | 0 | (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 0.0ms | alpha | @ | inf | (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| 0.0ms | alpha | @ | -inf | (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| 1× | batch-egg-rewrite |
| 435× | prod-diff_binary64 |
| 425× | log-prod_binary64 |
| 329× | exp-prod_binary64 |
| 242× | pow-prod-down_binary64 |
| 240× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 213 | 23 |
| 2 | 2715 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 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(cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1))))) |
| 1× | egg-herbie |
| 510× | fma-def_binary64 |
| 418× | times-frac_binary64 |
| 315× | distribute-rgt-in_binary64 |
| 293× | distribute-lft-in_binary64 |
| 253× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 2006 |
| 1 | 611 | 1938 |
| 2 | 1737 | 1832 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
(*.f64 1/2 alpha) |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
(*.f64 1/2 alpha) |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
(+.f64 1 (*.f64 1/2 alpha)) |
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 0 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1) |
(*.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2)) |
(*.f64 -1 (/.f64 -1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -2) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1) |
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -3) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) -1/2) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) -1/3) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2) 2) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -2) |
(pow.f64 (exp.f64 -1) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (sqrt.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -3)) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 3)) |
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) -1)) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -1) -1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1) 1)) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1) 1)) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)) |
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 1 (/.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 1) |
(-.f64 (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 -1 (neg.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1) |
(pow.f64 (E.f64) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2) -1/2) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -3) -1/3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) -3) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2) -2) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(pow.f64 (exp.f64 -1) (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) -1) |
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) -1) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (sqrt.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -1)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) -1) 1)) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1) -1)) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 1) -1)) |
(fma.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(fma.f64 alpha (neg.f64 (/.f64 1 (+.f64 alpha 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) 1) |
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha 2)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(*.f64 1/2 alpha) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(*.f64 1/2 alpha) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
(+.f64 1 (*.f64 1/2 alpha)) |
(fma.f64 1/2 alpha 1) |
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (*.f64 alpha -1/2)) |
(fma.f64 alpha -1/2 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 alpha -1/2 1) (*.f64 alpha (*.f64 alpha 1/4))) |
(fma.f64 alpha -1/2 (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 alpha -1/2 1) (*.f64 alpha (*.f64 alpha 1/4)))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 alpha -1/2 (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 0 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(*.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(*.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -2))) |
(*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1/2)) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(*.f64 -1 (/.f64 -1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (*.f64 1 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -2) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) -1) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
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(fma.f64 (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
Compiled 29 to 14 computations (51.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1× | batch-egg-rewrite |
| 908× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 851× | log1p-expm1-u_binary64 |
| 851× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2487 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 489× | fma-def_binary64 |
| 405× | log-prod_binary64 |
| 373× | log-div_binary64 |
| 222× | associate-/l*_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 609 |
| 1 | 215 | 609 |
| 2 | 742 | 456 |
| 3 | 3802 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 2 (/.f64 4 alpha)) |
| ✓ | 0.1b | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | -inf | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 0.0ms | alpha | @ | 0 | (-.f64 2 (/.f64 4 alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 2 (/.f64 4 alpha)) |
| 1× | batch-egg-rewrite |
| 927× | pow1_binary64 |
| 876× | add-log-exp_binary64 |
| 875× | log1p-expm1-u_binary64 |
| 875× | expm1-log1p-u_binary64 |
| 862× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 165 | 17 |
| 2 | 2269 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(-.f64 2 (/.f64 4 alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 -4 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 4 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (cbrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 4 alpha)) (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (+.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))) (neg.f64 (+.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha)) (*.f64 2 (/.f64 -4 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha))) (-.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (/.f64 4 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 4 alpha)))))))) |
| 1× | egg-herbie |
| 681× | associate-/l*_binary64 |
| 623× | times-frac_binary64 |
| 388× | unswap-sqr_binary64 |
| 263× | fma-def_binary64 |
| 258× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 945 |
| 1 | 393 | 899 |
| 2 | 1733 | 894 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -4 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(+.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha)) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (neg.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1) |
(neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(+.f64 2 (/.f64 -4 alpha)) |
(+.f64 2 (*.f64 (/.f64 -4 alpha) 1)) |
(+.f64 (/.f64 -4 alpha) 2) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) 1) |
(*.f64 1 (-.f64 2 (/.f64 4 alpha))) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (-.f64 8 (/.f64 64 (pow.f64 alpha 3))))) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 4 alpha)) (-.f64 4 (/.f64 16 (*.f64 alpha alpha))))) |
(/.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (neg.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (neg.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))) (neg.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha)) (*.f64 2 (/.f64 -4 alpha))))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha))) (-.f64 2 (/.f64 -4 alpha))) |
(pow.f64 (-.f64 2 (/.f64 4 alpha)) 1) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 3) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 2)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 4 alpha)))) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 4 alpha)))) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 4 alpha)))) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 4 alpha)))) |
| Outputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 -4 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(+.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (+.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (neg.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) (pow.f64 alpha 3))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (*.f64 (/.f64 -4 alpha) 1)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(+.f64 (/.f64 -4 alpha) 2) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) 1) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 1 (-.f64 2 (/.f64 4 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (fma.f64 (/.f64 -4 alpha) (+.f64 (/.f64 -4 alpha) -2) 4)) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (/.f64 (+.f64 8 (/.f64 16 alpha)) alpha))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 4 (/.f64 (/.f64 16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (-.f64 8 (/.f64 64 (pow.f64 alpha 3))))) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (fma.f64 (/.f64 -4 alpha) (+.f64 (/.f64 -4 alpha) -2) 4)) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (/.f64 (+.f64 8 (/.f64 16 alpha)) alpha))) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 4 alpha)) (-.f64 4 (/.f64 16 (*.f64 alpha alpha))))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 4 (/.f64 (/.f64 16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (fma.f64 (/.f64 -4 alpha) (+.f64 (/.f64 -4 alpha) -2) 4)) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (/.f64 (+.f64 8 (/.f64 16 alpha)) alpha))) |
(/.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (+.f64 2 (/.f64 4 alpha))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 4 (/.f64 (/.f64 16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (neg.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (fma.f64 (/.f64 -4 alpha) (+.f64 (/.f64 -4 alpha) -2) 4)) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (/.f64 (+.f64 8 (/.f64 16 alpha)) alpha))) |
(/.f64 (neg.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))) (neg.f64 (+.f64 2 (/.f64 4 alpha)))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 4 (/.f64 (/.f64 16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha)) (*.f64 2 (/.f64 -4 alpha))))) |
(*.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (fma.f64 (/.f64 -4 alpha) (+.f64 (/.f64 -4 alpha) -2) 4)) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (/.f64 (+.f64 8 (/.f64 16 alpha)) alpha))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 -4 alpha) (/.f64 -4 alpha))) (-.f64 2 (/.f64 -4 alpha))) |
(*.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 4 (/.f64 (/.f64 16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(pow.f64 (-.f64 2 (/.f64 4 alpha)) 1) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3) 1/3) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 3) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 2)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 4 alpha)) 3)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
Compiled 6768 to 5480 computations (19% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 3 | 400 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 10 | 12 |
| Total | 400 | 14 | 414 |
| Status | Error | Program |
|---|---|---|
| ✓ | 46.9b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ✓ | 49.6b | (/.f64 (/.f64 2 alpha) 2) |
| 46.9b | (/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 beta)))) 2) | |
| 18.3b | (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) | |
| ✓ | 45.2b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 30.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 31.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 14.6b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 32.7b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 51.0b | (/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) 2) | |
| 58.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 40.3b | (/.f64 2 2) |
| ✓ | 30.5b | (/.f64 1 2) |
Compiled 142 to 117 computations (17.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 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 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) 2) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) 2) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 28.0ms | beta |
| 22.0ms | alpha |
| 16.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.9b | 2 | alpha |
| 3.4b | 2 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 319 to 233 computations (27% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999994482971 | -0.5402742876389593 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 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 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 29.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 25.0ms | beta |
| 21.0ms | alpha |
| 16.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 14.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Error | Segments | Branch |
|---|---|---|
| 3.0b | 2 | alpha |
| 3.4b | 2 | 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 253 to 190 computations (24.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999994482971 | -0.5402742876389593 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (/.f64 1 (/.f64 alpha (+.f64 beta (+.f64 2 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 (+.f64 beta beta) 2) alpha) 2) |
2 calls:
| 25.0ms | beta |
| 21.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 3.7b | 2 | alpha |
| 3.8b | 2 | beta |
Compiled 132 to 105 computations (20.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.5951373561684006 | 2.350420144499817 |
| 7.0ms | 64× | body | 256 | valid |
Compiled 116 to 91 computations (21.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
2 calls:
| 290.0ms | beta |
| 44.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 6.2b | 2 | alpha |
| 3.8b | 2 | beta |
Compiled 79 to 66 computations (16.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.4809497600736705e-15 | 1.788571649640539e-15 |
| 4.0ms | 4× | body | 1024 | valid |
| 4.0ms | 38× | body | 256 | valid |
| 1.0ms | 5× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 92 to 78 computations (15.2% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 15.0ms | alpha |
| 6.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 2 | alpha |
| 16.0b | 1 | beta |
Compiled 70 to 58 computations (17.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.5951373561684006 | 2.350420144499817 |
| 7.0ms | 64× | body | 256 | valid |
Compiled 100 to 83 computations (17% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 22.0ms | alpha |
| 15.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 4 | alpha |
| 16.2b | 2 | beta |
Compiled 52 to 44 computations (15.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.006200096276150501 | 14371.327942760963 |
| 10.0ms | 102× | body | 256 | valid |
| 6.0ms | 23× | body | 1024 | valid |
| 5.0ms | 17× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 200 to 177 computations (11.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 21.0ms | alpha |
| 9.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 4 | alpha |
| 16.4b | 2 | beta |
Compiled 45 to 38 computations (15.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.006200096276150501 | 14371.327942760963 |
| 12.0ms | 115× | body | 256 | valid |
| 6.0ms | 12× | body | 1024 | valid |
| 3.0ms | 15× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 164 to 150 computations (8.5% saved)
Total -45.8b remaining (-272.9%)
Threshold costs -45.8b (-272.9%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 17.0ms | alpha |
| 14.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.2b | 4 | alpha |
| 16.8b | 2 | beta |
Compiled 31 to 26 computations (16.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 14371.327942760963 | 10477323.696656853 |
| 10.0ms | 94× | body | 256 | valid |
| 9.0ms | 24× | body | 1024 | valid |
| 2.0ms | 9× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 116 to 111 computations (4.3% saved)
| 1× | egg-herbie |
| 15× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 5× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 261 |
| 1 | 81 | 261 |
| 2 | 94 | 261 |
| 3 | 100 | 261 |
| 4 | 103 | 261 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -5404319552844595/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 beta 4436777100798803/2535301200456458802993406410752) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 14500) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -5404319552844595/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -5404319552844595/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -5404319552844595/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)) |
(if (<=.f64 beta 4436777100798803/2535301200456458802993406410752) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(if (<=.f64 beta 4436777100798803/2535301200456458802993406410752) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 2589569785738035/1125899906842624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1) |
(if (<=.f64 beta 14500) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 14500) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 198 to 147 computations (25.8% saved)
| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 1× | node limit |
Compiled 1381 to 991 computations (28.2% saved)
Compiled 182 to 127 computations (30.2% saved)
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