Time bar (total: 10.8s)
| 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 | 6455× | body | 256 | valid |
| 443.0ms | 1063× | body | 1024 | valid |
| 200.0ms | 644× | body | 512 | valid |
| 46.0ms | 94× | 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 |
|---|---|---|
| ▶ | 17.8b | (/.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)) |
| ✓ | 2.5b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 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 | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1× | 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 13 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 14 | 391 |
| Status | Error | Program |
|---|---|---|
| 44.5b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| ▶ | 25.5b | (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) |
| 18.1b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) | |
| 18.2b | (/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) 2) | |
| 43.6b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) | |
| ▶ | 17.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 32.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 45.3b | (/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) | |
| ✓ | 17.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 19.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| ▶ | 47.1b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| 61.6b | (/.f64 (+.f64 -1 1) 2) | |
| 43.6b | (/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) | |
| ▶ | 42.1b | (/.f64 2 2) |
Compiled 467 to 351 computations (24.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.0b | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 2.5b | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 73 to 47 computations (35.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 1.0ms | beta | @ | -inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 1.0ms | alpha | @ | -inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 1× | batch-egg-rewrite |
| 729× | fma-def_binary64 |
| 509× | fma-neg_binary64 |
| 341× | log-div_binary64 |
| 271× | log1p-udef_binary64 |
| 270× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 1 | 301 | 52 |
| 2 | 4870 | 52 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
(/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2 (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2))) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))))))) |
| 1× | egg-herbie |
| 453× | fma-neg_binary64 |
| 300× | fma-def_binary64 |
| 221× | +-commutative_binary64 |
| 214× | *-commutative_binary64 |
| 213× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 6012 |
| 1 | 1565 | 5643 |
| 2 | 5500 | 5579 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) |
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))))) |
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)))))) |
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))) |
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)))))) |
(+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) |
(*.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))) |
(pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 1) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 2) |
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) 3)) |
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) |
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1)) 1)) |
(fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta))) -1) |
(fma.f64 alpha (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1) -1) |
(fma.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1 -1) |
(fma.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1) -1) |
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1) -1) |
(fma.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1) |
(fma.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) alpha -1) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))) -1) |
(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 (+.f64 alpha beta))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) -1) |
(fma.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) -1) |
(fma.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2) -1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1) |
(*.f64 alpha (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 alpha (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 1)) |
(*.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2)) |
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) alpha) -1) |
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) 1)) |
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) -1) |
(fma.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1) 1 -1) |
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 1)) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1) |
(*.f64 beta (/.f64 1 (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2)) |
(pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) -1) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)) |
(+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) 1) |
(*.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) |
(*.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 1) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1/2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -1) -1/2) |
(*.f64 1/2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2) |
(pow.f64 (/.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -1) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -2)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2) 1/4)) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2)) 1)) |
(fma.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2 (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2))) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (neg.f64 (+.f64 beta 2)) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (neg.f64 (+.f64 beta 2)) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1)) |
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) 1)) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha -1))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
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-1 |
(-.f64 (/.f64 alpha beta) 1) |
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(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
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-1 |
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(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
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(/.f64 alpha (+.f64 beta 2)) |
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(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
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1 |
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(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
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1 |
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(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
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(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
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(/.f64 alpha beta) |
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(-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) |
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(/.f64 alpha beta) |
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(/.f64 beta (+.f64 2 alpha)) |
(/.f64 beta (+.f64 alpha 2)) |
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(-.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
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(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 beta (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) |
(-.f64 1 (/.f64 (+.f64 alpha 2) beta)) |
(+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
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(+.f64 1 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) |
(-.f64 1 (/.f64 (+.f64 alpha 2) beta)) |
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(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
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(+.f64 1 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
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(/.f64 beta (+.f64 beta 2)) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))))) |
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(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) |
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(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) |
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(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
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(*.f64 1/2 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
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(*.f64 1/2 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 beta (*.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))))))) |
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(fma.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 1/2 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 beta (*.f64 beta (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))))) (fma.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) |
(fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta) 1) |
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(fma.f64 1/2 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) |
(fma.f64 1/2 (/.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2))) (*.f64 beta beta)) (fma.f64 -1/2 (/.f64 (fma.f64 alpha 2 2) beta) 1)) |
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(fma.f64 1/2 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (+.f64 1 (fma.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (/.f64 (*.f64 1/2 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 beta 3))))) |
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1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta))) |
(fma.f64 -1/2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) 1) |
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(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1/2 (*.f64 (/.f64 beta (+.f64 beta 2)) 1/2)) |
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(fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 1/2 (*.f64 (/.f64 beta (+.f64 beta 2)) 1/2))) |
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(fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 1/2 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3))))))) |
(fma.f64 1/2 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))) (*.f64 alpha (*.f64 -1/2 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) |
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(fma.f64 -1/2 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (fma.f64 -1/2 (+.f64 (pow.f64 (/.f64 alpha (+.f64 beta 2)) 3) (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (*.f64 (*.f64 alpha alpha) 1/2))))) |
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) |
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(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(*.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2)) |
(*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 beta (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta (-.f64 alpha -2)))) |
(/.f64 beta (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 beta (-.f64 -2 alpha)))) |
(pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) 1/3) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta) -1) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(/.f64 (*.f64 (neg.f64 beta) 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) |
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2)) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3)) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 1)) |
(/.f64 beta (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) |
(-.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2)) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) 1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (*.f64 1/2 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1/2)) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (*.f64 1/2 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(*.f64 1/2 (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -1) -1/2) |
(*.f64 -1/2 (+.f64 -1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (+.f64 alpha 2) beta)))) |
(*.f64 -1/2 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 1/2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 3) 1/3) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 3) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)) 2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (/.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) -2)) |
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -2) |
(/.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2) |
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -2)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2) 1/4)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2) 1/4)) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 1/4)) |
(fabs.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2) 3)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (log.f64 1/2))) |
(*.f64 1/2 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (log.f64 1/2)) 1)) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (log.f64 1/2))) |
(*.f64 1/2 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) |
(fma.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2 (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2))) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1/2)) (neg.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 2) 1/2))) |
(+.f64 (-.f64 (/.f64 (*.f64 beta 1/2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 alpha 2) beta)))) 1/2) |
(+.f64 1/2 (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)) (/.f64 (/.f64 alpha 2) (+.f64 alpha (+.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)) |
| ✓ | 1.9b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 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) |
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(fma.f64 1/2 alpha (*.f64 (*.f64 alpha alpha) -1/4)) |
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(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
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1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
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(+.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3)))) |
1 |
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(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
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(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
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(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
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(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
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(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
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(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
Compiled 54 to 42 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1× | batch-egg-rewrite |
| 870× | pow1_binary64 |
| 812× | add-log-exp_binary64 |
| 811× | log1p-expm1-u_binary64 |
| 811× | expm1-log1p-u_binary64 |
| 797× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 156 | 8 |
| 2 | 2116 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) |
| 1× | egg-herbie |
| 431× | fma-def_binary64 |
| 388× | log-prod_binary64 |
| 364× | log-div_binary64 |
| 214× | associate-/l*_binary64 |
| 196× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 477 |
| 1 | 215 | 477 |
| 2 | 722 | 360 |
| 3 | 3601 | 360 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) 1) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
| Outputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 (*.f64 2 alpha) beta) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 (*.f64 2 alpha) beta) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 alpha 2) 3) (pow.f64 beta 3))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 beta alpha) 2) |
| ✓ | 18.1b | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
| ✓ | 18.4b | (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) |
Compiled 82 to 45 computations (45.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | beta | @ | -inf | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
| 3.0ms | alpha | @ | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
| 2.0ms | alpha | @ | inf | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
| 2.0ms | alpha | @ | -inf | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
| 2.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) |
| 1× | batch-egg-rewrite |
| 752× | log-prod_binary64 |
| 583× | fma-def_binary64 |
| 376× | fma-neg_binary64 |
| 296× | log1p-udef_binary64 |
| 295× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 49 |
| 1 | 333 | 49 |
| 2 | 4849 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) |
(pow.f64 (+.f64 beta alpha) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))))) (log.f64 (cbrt.f64 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(2) ((x cbrt.f64 (pow.f64 (+.f64 beta alpha) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 457× | fma-def_binary64 |
| 327× | +-commutative_binary64 |
| 325× | distribute-rgt-in_binary64 |
| 311× | distribute-lft-in_binary64 |
| 294× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 649 | 7747 |
| 1 | 1981 | 6961 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) beta))) |
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) beta)))) |
(/.f64 1 beta) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha) (pow.f64 beta 3)))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha)))) alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha) (pow.f64 beta 3)))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -2 alpha)) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -2 alpha)) (pow.f64 beta 2))))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha) (pow.f64 beta 3))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) (-.f64 (pow.f64 alpha 2) 4)) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha)))) alpha) (pow.f64 beta 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -2 alpha)) (pow.f64 beta 2))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha) (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)))) |
(/.f64 beta (-.f64 (pow.f64 beta 2) 4)) |
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha)) (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4))))))))) |
(/.f64 -1 alpha) |
(-.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3)))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 4))))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(/.f64 -1 alpha) |
(-.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))) (pow.f64 alpha 3)))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2)))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))) (pow.f64 alpha 3))))) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (-.f64 alpha 2)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))) (-.f64 alpha 2)))) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (-.f64 alpha 2)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) |
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2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) (-.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha beta))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) (-.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha)))) alpha)) (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (-.f64 alpha 2) (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha))))) (pow.f64 beta 3)) (/.f64 alpha beta))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (*.f64 2 alpha)) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 alpha (*.f64 -1 (-.f64 alpha 2))) (*.f64 -2 alpha)) beta))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) (-.f64 alpha (*.f64 -2 alpha))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 alpha (*.f64 -1 (-.f64 alpha 2))) (*.f64 -2 alpha)) beta))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 alpha 2) (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha)))) alpha)) (*.f64 (-.f64 alpha (*.f64 -2 alpha)) (-.f64 (pow.f64 alpha 2) 4))))) (pow.f64 beta 3))) (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) (-.f64 alpha (*.f64 -2 alpha))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 alpha (*.f64 -1 (-.f64 alpha 2))) (*.f64 -2 alpha)) beta)))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -2 alpha)) alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))))) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) alpha))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))))) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))))) (*.f64 -1 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))))) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -1 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 2)))))) |
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta 2) (-.f64 beta (*.f64 -2 beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))))) (*.f64 -2 (/.f64 beta alpha))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta 2) (-.f64 beta (*.f64 -2 beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 3)))))))) (*.f64 -2 (/.f64 beta alpha))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta 2) (-.f64 beta (*.f64 -2 beta))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (-.f64 beta 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 beta (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))))) (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (+.f64 (*.f64 2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 4)))))))))) (*.f64 -2 (/.f64 beta alpha))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta (*.f64 -2 beta)))) 2) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 beta 2) (-.f64 beta (*.f64 -2 beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta (*.f64 -2 beta)))) 2) alpha)))) |
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(+.f64 (/.f64 (*.f64 (-.f64 beta 2) (-.f64 beta (*.f64 -2 beta))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2)))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 beta 2) (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2)))) (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta (*.f64 -2 beta)))) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta 2) (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))))))) (pow.f64 alpha 4))) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (*.f64 -2 beta))) (*.f64 -2 (*.f64 beta (-.f64 4 (+.f64 (*.f64 -2 (*.f64 beta (-.f64 beta (*.f64 -2 beta)))) (pow.f64 beta 2))))))) (pow.f64 alpha 4))))))))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(+.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) |
(-.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) 1) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 4 (neg.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (-.f64 beta alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 -64 (pow.f64 (+.f64 beta alpha) 6))) (+.f64 (pow.f64 (+.f64 beta alpha) 4) (-.f64 16 (*.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 2) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha)) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 4 (neg.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) 1)) |
(fma.f64 beta (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 1 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) (cbrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 beta (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 beta (+.f64 -64 (pow.f64 (+.f64 beta alpha) 6))) (+.f64 (pow.f64 (+.f64 beta alpha) 4) (-.f64 16 (*.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (neg.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(+.f64 1 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha)))) |
(+.f64 0 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) |
(+.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1) |
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1) 1) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) 1) |
(*.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 1) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 3) 1) (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (-.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1)))) |
(/.f64 (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) -1)) |
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 1) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha)))) 1)) |
(+.f64 0 (pow.f64 (+.f64 beta alpha) 2)) |
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) |
(+.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (+.f64 beta alpha) alpha)) |
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) 1) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(*.f64 (pow.f64 (+.f64 beta alpha) 2) 1) |
(*.f64 1 (pow.f64 (+.f64 beta alpha) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) |
(*.f64 (sqrt.f64 (+.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(*.f64 (*.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha))) |
(*.f64 (*.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (pow.f64 (-.f64 beta alpha) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (-.f64 beta alpha))) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 beta alpha)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (+.f64 beta alpha) 4)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2)))) |
(cbrt.f64 (pow.f64 (+.f64 beta alpha) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(exp.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)) 1)) |
(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha))) |
(fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha))) |
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha)) |
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta)) |
(fma.f64 1 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha))) |
(fma.f64 (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) |
(/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) |
(/.f64 (neg.f64 alpha) (fma.f64 alpha alpha -4)) |
(+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) beta)) |
(fma.f64 -1 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4)) (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 alpha alpha) -4)) (*.f64 -2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)))) beta)) |
(-.f64 (*.f64 (+.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (/.f64 (*.f64 2 (*.f64 alpha alpha)) (pow.f64 (fma.f64 alpha alpha -4) 2))) beta) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(+.f64 (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (/.f64 (pow.f64 alpha 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) beta))) |
(fma.f64 -1 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4)) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 alpha alpha) -4)) (*.f64 -2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)))) (/.f64 (+.f64 (*.f64 alpha alpha) -4) alpha))))) (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 alpha alpha) -4)) (*.f64 -2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)))) beta))) |
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(/.f64 1 beta) |
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(/.f64 1 beta) |
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(/.f64 beta (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
(/.f64 beta (fma.f64 beta beta -4)) |
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(/.f64 -1 alpha) |
(-.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(-.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha))) |
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(-.f64 (-.f64 (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (-.f64 (*.f64 2 (*.f64 beta (*.f64 3 beta))) (fma.f64 beta beta -4)) (pow.f64 alpha 3))) (/.f64 (fma.f64 (*.f64 -2 beta) (-.f64 (*.f64 2 (*.f64 beta (*.f64 3 beta))) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta -4) (*.f64 3 beta))) (pow.f64 alpha 4))) (fma.f64 -2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha))) |
(/.f64 -1 alpha) |
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(-.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha))) |
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2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 alpha (*.f64 -1 (-.f64 alpha 2))) (*.f64 -2 alpha)) beta))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 alpha (-.f64 (neg.f64 (+.f64 alpha -2)) (*.f64 alpha -2))) beta))) |
(-.f64 2 (/.f64 (+.f64 (neg.f64 (+.f64 alpha -2)) (*.f64 3 alpha)) beta)) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 3) 1) (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (-.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) 3)) (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) (-.f64 1 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) 3)) (+.f64 (-.f64 1 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha)))) (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (pow.f64 (-.f64 beta alpha) 2)))) |
(/.f64 (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) -1)) |
(/.f64 (fma.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) -1)) |
(/.f64 (+.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (pow.f64 (-.f64 beta alpha) 2))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) -1)) |
(pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 3) 1/3) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 3) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) 2) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 2)) |
(fabs.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1)) |
(log.f64 (exp.f64 (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) |
(log.f64 (+.f64 1 (expm1.f64 (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) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) 3)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) 1) |
(expm1.f64 (log1p.f64 (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) |
(log1p.f64 (expm1.f64 (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) |
(exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha))))) |
(exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 beta alpha)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 beta alpha))))) |
(+.f64 0 (pow.f64 (+.f64 beta alpha) 2)) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (+.f64 beta alpha) alpha)) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta)) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 alpha beta) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) 1) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (pow.f64 (+.f64 beta alpha) 2) 1) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 1 (pow.f64 (+.f64 beta alpha) 2)) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha beta) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (pow.f64 (+.f64 alpha beta) 4))) |
(*.f64 (sqrt.f64 (+.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (*.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(*.f64 (*.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (pow.f64 (-.f64 beta alpha) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (-.f64 beta alpha) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (-.f64 beta alpha))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 beta alpha)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (+.f64 alpha beta))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (+.f64 alpha beta)) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (+.f64 alpha beta))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (+.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (+.f64 beta alpha) 4)) |
(sqrt.f64 (pow.f64 (+.f64 alpha beta) 4)) |
(fabs.f64 (pow.f64 (+.f64 alpha beta) 2)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(pow.f64 (+.f64 alpha beta) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2)))) |
(pow.f64 (+.f64 alpha beta) 2) |
(cbrt.f64 (pow.f64 (+.f64 beta alpha) 6)) |
(cbrt.f64 (pow.f64 (+.f64 alpha beta) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(pow.f64 (+.f64 alpha beta) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(pow.f64 (+.f64 alpha beta) 2) |
(exp.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(pow.f64 (+.f64 alpha beta) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 beta alpha) 2)) 1)) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha)) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta)) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 1 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (*.f64 alpha (+.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha))) |
(pow.f64 (+.f64 alpha beta) 2) |
(fma.f64 (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (hypot.f64 alpha (sqrt.f64 (*.f64 beta alpha))) (*.f64 beta (+.f64 beta alpha))) |
(fma.f64 (hypot.f64 alpha (sqrt.f64 (*.f64 alpha beta))) (hypot.f64 alpha (sqrt.f64 (*.f64 alpha beta))) (*.f64 beta (+.f64 alpha beta))) |
Compiled 31680 to 21414 computations (32.4% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 917 | 11 | 928 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 923 | 19 | 942 |
| Status | Error | Program |
|---|---|---|
| 33.2b | (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) | |
| ▶ | 18.1b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
| 18.2b | (/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) 2) | |
| ▶ | 43.6b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 48.4b | (/.f64 (/.f64 2 alpha) 2) | |
| ▶ | 43.6b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| ✓ | 17.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 49.3b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| ✓ | 32.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 33.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 17.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 19.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 49.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| 44.8b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) | |
| 46.9b | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) | |
| ✓ | 42.1b | (/.f64 2 2) |
| ▶ | 32.8b | (/.f64 1 2) |
| ▶ | 43.6b | (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
| 45.5b | (*.f64 -1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
Compiled 474 to 364 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 18.1b | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
Compiled 50 to 31 computations (38% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | -inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1× | batch-egg-rewrite |
| 906× | prod-diff_binary64 |
| 498× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 234× | fma-neg_binary64 |
| 207× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 230 | 26 |
| 2 | 3281 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
| 1× | egg-herbie |
| 566× | associate-/l*_binary64 |
| 456× | distribute-rgt-in_binary64 |
| 436× | distribute-lft-in_binary64 |
| 342× | unswap-sqr_binary64 |
| 248× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 2765 |
| 1 | 933 | 2621 |
| 2 | 3197 | 2459 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(+.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1) |
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (-.f64 (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) beta))) (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) |
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 -1 (/.f64 alpha beta)))) (-.f64 2 (/.f64 alpha beta))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(+.f64 2 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3))))) |
(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (+.f64 (+.f64 alpha 2) alpha)))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (fma.f64 alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 4)) (/.f64 1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (fma.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 3) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 -1 (+.f64 2 beta))) (fma.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))) |
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(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(+.f64 (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha))) (-.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.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 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) |
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(+.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta))) |
(/.f64 (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
Compiled 7 to 7 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| ✓ | 0.0b | (-.f64 (-.f64 -2 beta) beta) |
Compiled 30 to 19 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| 1× | batch-egg-rewrite |
| 774× | prod-diff_binary64 |
| 612× | unpow-prod-down_binary64 |
| 435× | log-prod_binary64 |
| 268× | fma-def_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 171 | 17 |
| 2 | 2629 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 -2 beta) beta) |
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| Outputs |
|---|
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(neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 358× | fma-neg_binary64 |
| 259× | log-prod_binary64 |
| 224× | associate-+r+_binary64 |
| 224× | associate-+l+_binary64 |
| 220× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 766 | 10287 |
| 1 | 1839 | 7573 |
| 2 | 6448 | 7162 |
| 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 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(+.f64 -2 (neg.f64 (+.f64 beta beta))) |
(+.f64 -2 (-.f64 (neg.f64 beta) beta)) |
(+.f64 (-.f64 -2 beta) (neg.f64 beta)) |
(+.f64 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(+.f64 0 (-.f64 -2 (+.f64 beta beta))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 (-.f64 -2 (+.f64 beta beta)) 1) |
(*.f64 1 (-.f64 -2 (+.f64 beta beta))) |
(*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (pow.f64 (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) 1)) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (pow.f64 (/.f64 1 (+.f64 beta (-.f64 -2 beta))) 1)) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) |
(*.f64 (pow.f64 1 1/3) (-.f64 -2 (+.f64 beta beta))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) 1) (pow.f64 (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) 1)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) 1/3)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 2) 3) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 3)) |
(/.f64 1 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)))) |
(/.f64 1 (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 beta (-.f64 -2 beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (neg.f64 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 -8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 4 (+.f64 (pow.f64 (+.f64 beta beta) 2) (*.f64 -2 (+.f64 beta beta))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (pow.f64 (neg.f64 beta) 2) (*.f64 (-.f64 -2 beta) (neg.f64 beta))))) |
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta beta) 2)) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 (neg.f64 beta) 2)) (-.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1) |
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3) |
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) |
(pow.f64 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) -1) |
(pow.f64 (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) -1) |
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2)) |
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 beta))) |
(log.f64 (/.f64 (exp.f64 (-.f64 -2 beta)) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 (neg.f64 beta)))) |
(log.f64 (*.f64 (exp.f64 (-.f64 -2 beta)) (/.f64 1 (exp.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (/.f64 1 (exp.f64 beta)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta)))) |
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))) |
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1)) |
(fma.f64 (-.f64 -2 beta) 1 (neg.f64 beta)) |
(fma.f64 (-.f64 -2 beta) 1 (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 -1 beta beta)) |
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta)) |
(fma.f64 1 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(fma.f64 1 (neg.f64 beta) (-.f64 -2 beta)) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (cbrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 -1 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 -1 beta beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (neg.f64 beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (sqrt.f64 beta) (neg.f64 (sqrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 -1 beta beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta)) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 beta)) 2) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -1 beta (-.f64 -2 beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (-.f64 -2 beta)) |
(+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 beta alpha))) |
(+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 beta alpha))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(+.f64 0 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
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(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (-.f64 -2 (+.f64 beta beta))) 1/3) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 2) 3) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta)))) 2) -1) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (-.f64 -2 (+.f64 beta beta))) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) 1) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (-.f64 -2 (+.f64 beta beta))) -1)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) -1) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) -1) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2) |
(pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta))) -1) |
(pow.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) (pow.f64 alpha 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta))) 1) -1) |
(neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 1)) |
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta 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)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(+.f64 -2 (neg.f64 (+.f64 beta beta))) |
(fma.f64 -2 beta -2) |
(+.f64 -2 (-.f64 (neg.f64 beta) beta)) |
(fma.f64 -2 beta -2) |
(+.f64 (-.f64 -2 beta) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(+.f64 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(+.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(+.f64 0 (-.f64 -2 (+.f64 beta beta))) |
(fma.f64 -2 beta -2) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 beta -2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 beta -2))))) |
(*.f64 (-.f64 -2 (+.f64 beta beta)) 1) |
(fma.f64 -2 beta -2) |
(*.f64 1 (-.f64 -2 (+.f64 beta beta))) |
(fma.f64 -2 beta -2) |
(*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) |
(fma.f64 -2 beta -2) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (pow.f64 (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) 1)) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (pow.f64 (/.f64 1 (+.f64 beta (-.f64 -2 beta))) 1)) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) |
(*.f64 (pow.f64 1 1/3) (-.f64 -2 (+.f64 beta beta))) |
(fma.f64 -2 beta -2) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) 1) (pow.f64 (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) 1)) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 -2 beta -2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 -2 beta -2) 3)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (fma.f64 -2 beta -2) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 7) (cbrt.f64 (fma.f64 -2 beta -2)))) (cbrt.f64 (cbrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2))) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (pow.f64 (fma.f64 -2 beta -2) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 -2 beta -2)) 5)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 2) 3) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) |
(*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 2) 3)) |
(*.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -2 beta -2))) 2) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) 3)) |
(fma.f64 -2 beta -2) |
(/.f64 1 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 1 (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 beta (-.f64 -2 beta))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (neg.f64 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (-.f64 (+.f64 2 beta) beta)) |
(/.f64 (-.f64 -8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 4 (+.f64 (pow.f64 (+.f64 beta beta) 2) (*.f64 -2 (+.f64 beta beta))))) |
(/.f64 (-.f64 -8 (*.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 (+.f64 beta beta) (fma.f64 beta 2 -2)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 (pow.f64 (neg.f64 beta) 2) (*.f64 (-.f64 -2 beta) (neg.f64 beta))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta beta) 2)) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (-.f64 4 (*.f64 4 (*.f64 beta beta))) (fma.f64 beta 2 -2)) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (pow.f64 (neg.f64 beta) 2)) (-.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(pow.f64 (-.f64 -2 (+.f64 beta beta)) 1) |
(fma.f64 -2 beta -2) |
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2) 1/2) |
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2)) |
(fabs.f64 (fma.f64 -2 beta -2)) |
(pow.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) 1/3) |
(fma.f64 -2 beta -2) |
(pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 3) |
(fma.f64 -2 beta -2) |
(pow.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) |
(fma.f64 -2 beta -2) |
(pow.f64 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) -1) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(pow.f64 (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) -1) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(sqrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 2)) |
(fabs.f64 (fma.f64 -2 beta -2)) |
(log.f64 (exp.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (+.f64 beta beta))))) |
(fma.f64 -2 beta -2) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 beta))) |
(fma.f64 -2 beta -2) |
(log.f64 (/.f64 (exp.f64 (-.f64 -2 beta)) (+.f64 1 (expm1.f64 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (+.f64 1 (expm1.f64 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 (neg.f64 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (exp.f64 (-.f64 -2 beta)) (/.f64 1 (exp.f64 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (/.f64 1 (exp.f64 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(fma.f64 -2 beta -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(fma.f64 -2 beta -2) |
(cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3)) |
(fma.f64 -2 beta -2) |
(expm1.f64 (log1p.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(log1p.f64 (expm1.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(exp.f64 (log.f64 (-.f64 -2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (+.f64 beta beta))) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 (-.f64 -2 beta) 1 (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (-.f64 -2 beta) 1 (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (-.f64 -2 (+.f64 beta beta)) 1 (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 1 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 1 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 1 (neg.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (neg.f64 (cbrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 (sqrt.f64 beta) (neg.f64 (sqrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 -2 (+.f64 beta beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta)) |
(-.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4))) beta) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta)) |
(-.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4))) beta) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta)))) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(+.f64 (-.f64 beta beta) (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta)))) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta)) |
(-.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) 1) (+.f64 -2 beta)) beta) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta)) |
(-.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) 1) (+.f64 -2 beta)) beta) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 beta)) 2) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 -1 beta (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 beta beta)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(+.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 beta alpha))) |
(+.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 beta alpha))) |
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(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 beta (cbrt.f64 alpha))) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (*.f64 0 (/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha))) (/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)))) |
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (*.f64 0 (/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)))) |
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(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))) (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))))) |
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(+.f64 (fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))) (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))))) |
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))) (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))))) |
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))) (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))))) |
(+.f64 (*.f64 0 (/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))) (-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)))) |
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(+.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))) (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))))) |
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (*.f64 (/.f64 (neg.f64 beta) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))))) |
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(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) alpha) 1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) alpha) 1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) 1) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta beta))) (cbrt.f64 alpha)) 1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2) (sqrt.f64 alpha)) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) (sqrt.f64 alpha)) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (-.f64 -2 (+.f64 beta beta))) 1/3) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2))) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -2 beta -2) (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2))) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2) (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2) (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 7) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) |
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 5)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 2) 3) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 2) 3)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) 2) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) 3)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta)))) 2) -1) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta)))) 2))) |
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 -2 beta -2))) 2)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (-.f64 -2 (+.f64 beta beta))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) 1) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (-.f64 -2 (+.f64 beta beta))) -1)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2))) (/.f64 1 (/.f64 (cbrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2)) (*.f64 (/.f64 1 (cbrt.f64 alpha)) (cbrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta beta))) 2))) (/.f64 1 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2)) (*.f64 (/.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta beta))))) (/.f64 1 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))))) |
(/.f64 (*.f64 1 (*.f64 (/.f64 1 (cbrt.f64 alpha)) (sqrt.f64 (fma.f64 -2 beta -2)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (fma.f64 -2 beta -2)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1) (pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -1)) |
(pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta beta)))) -2) |
(pow.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (fma.f64 -2 beta -2))) -2) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) -1) (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 (/.f64 1 (fma.f64 beta (+.f64 beta (-.f64 -2 beta)) (pow.f64 (-.f64 -2 beta) 2))) (/.f64 1 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))) |
(/.f64 (*.f64 (/.f64 1 alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (fma.f64 beta (+.f64 -2 (-.f64 beta beta)) (pow.f64 (-.f64 -2 beta) 2))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) -1) (/.f64 1 (+.f64 beta (-.f64 -2 beta)))) |
(*.f64 (/.f64 1 (+.f64 beta (-.f64 -2 beta))) (/.f64 1 (/.f64 alpha (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))))) |
(/.f64 (*.f64 (/.f64 1 alpha) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (+.f64 -2 (-.f64 beta beta))) |
(pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2) 1/2) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2)) |
(fabs.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3) 1/3) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta))) -1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) (pow.f64 alpha 3)) 1/3) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(pow.f64 (/.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta beta))) 1) -1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(neg.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (neg.f64 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 2)) |
(fabs.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) |
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 beta beta)) 3) (pow.f64 alpha 3))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(exp.f64 (log.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha))) (/.f64 beta alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (/.f64 (*.f64 1 (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha))) (sqrt.f64 alpha)) (/.f64 beta alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha))) (/.f64 beta alpha)) |
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) 3) (/.f64 beta alpha)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha))) (/.f64 beta alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) (/.f64 beta alpha)) |
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 | beta | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1× | batch-egg-rewrite |
| 908× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 851× | log1p-expm1-u_binary64 |
| 851× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2487 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 489× | fma-def_binary64 |
| 405× | log-prod_binary64 |
| 373× | log-div_binary64 |
| 222× | associate-/l*_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 609 |
| 1 | 215 | 609 |
| 2 | 742 | 456 |
| 3 | 3802 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| ✓ | 0.0b | (/.f64 (-.f64 -2 beta) alpha) |
Compiled 57 to 36 computations (36.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (-.f64 -2 beta) alpha) |
| 1× | batch-egg-rewrite |
| 723× | log-prod_binary64 |
| 657× | fma-def_binary64 |
| 374× | fma-neg_binary64 |
| 324× | log-div_binary64 |
| 271× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 282 | 26 |
| 2 | 4678 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| Outputs |
|---|
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(/.f64 (neg.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)))))) |
| 1× | egg-herbie |
| 609× | fma-neg_binary64 |
| 471× | div-sub_binary64 |
| 208× | fma-def_binary64 |
| 204× | unsub-neg_binary64 |
| 200× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 5415 |
| 1 | 1370 | 4960 |
| 2 | 4885 | 4904 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(/.f64 (+.f64 beta 2) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) |
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha))) |
(+.f64 0 (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))))) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) 1) |
(*.f64 (-.f64 -2 beta) (/.f64 1 alpha)) |
(*.f64 (/.f64 (-.f64 -2 beta) alpha) 1) |
(*.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha))) |
(*.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (-.f64 -2 beta)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (-.f64 -2 beta) alpha) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (-.f64 -2 beta)) -1) |
(neg.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)) 1)) |
(fma.f64 -2 (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 1 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha))) |
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(fma.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 -2 beta) alpha))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 1 alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (-.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha))) (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 -1 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
| Outputs |
|---|
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(neg.f64 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(neg.f64 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 2 alpha))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (-.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (-.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) |
(+.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (pow.f64 (/.f64 beta (+.f64 alpha 2)) 3)) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (+.f64 1 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(+.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (+.f64 alpha 2) beta)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha))) (cbrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (sqrt.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 -1 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (+.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (-.f64 beta alpha) -2) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (-.f64 -2 alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) 1)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (-.f64 beta alpha) -2) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (-.f64 -2 alpha)) (/.f64 (+.f64 beta 2) alpha)) |
Compiled 30470 to 19475 computations (36.1% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1081 | 6 | 1087 |
| Fresh | 0 | 10 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1083 | 23 | 1106 |
| Status | Error | Program |
|---|---|---|
| 33.2b | (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) | |
| 33.4b | (/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2) | |
| ▶ | 18.2b | (/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) 2) |
| ✓ | 43.6b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 48.0b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
| 60.6b | (/.f64 (/.f64 beta alpha) 2) | |
| ▶ | 48.4b | (/.f64 (/.f64 2 alpha) 2) |
| 56.9b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) | |
| ✓ | 17.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 49.3b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 33.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 17.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 19.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| ▶ | 49.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| 44.8b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) | |
| 46.9b | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) | |
| 56.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 42.1b | (/.f64 2 2) |
| ✓ | 32.8b | (/.f64 1 2) |
| 44.0b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3)) | |
| ✓ | 43.6b | (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
| 45.5b | (*.f64 -1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
Compiled 519 to 399 computations (23.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) |
| ✓ | 0.5b | (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) |
| ✓ | 0.5b | (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) |
| ✓ | 17.9b | (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
Compiled 83 to 44 computations (47% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | alpha | @ | -inf | (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) |
| 4.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
| 3.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
| 3.0ms | beta | @ | 0 | (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
| 2.0ms | alpha | @ | -inf | (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
| 1× | batch-egg-rewrite |
| 640× | log-prod_binary64 |
| 476× | fma-def_binary64 |
| 261× | fma-neg_binary64 |
| 250× | pow1/3_binary64 |
| 244× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 278 | 50 |
| 2 | 4068 | 50 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) |
(/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) |
(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) |
(sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) |
| Outputs |
|---|
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(sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (hypot.f64 (+.f64 alpha beta) (sqrt.f64 (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)))))) |
| 1× | egg-herbie |
| 354× | associate-*r*_binary64 |
| 347× | associate-*l*_binary64 |
| 335× | fma-def_binary64 |
| 252× | *-commutative_binary64 |
| 209× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 5921 |
| 1 | 1375 | 5750 |
| 2 | 5402 | 5567 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2))))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (+.f64 (*.f64 -1/2 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2)))))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
1 |
1 |
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))))) |
(+.f64 1 (+.f64 (*.f64 beta (+.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) alpha) (sqrt.f64 (+.f64 2 alpha))))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))))))) |
1 |
1 |
(sqrt.f64 (/.f64 1 (+.f64 beta 2))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2)))) (pow.f64 alpha 3)) (sqrt.f64 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(sqrt.f64 (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (pow.f64 beta 2)) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (pow.f64 beta 2)) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) alpha) (sqrt.f64 (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))))) |
(*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2))))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))))) |
(sqrt.f64 (+.f64 beta 2)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha)) (sqrt.f64 (+.f64 beta 2))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2))) (sqrt.f64 (+.f64 beta 2)))) |
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(sqrt.f64 (+.f64 2 alpha)) |
(+.f64 (sqrt.f64 (+.f64 2 alpha)) (*.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (*.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
(+.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 5))))) (+.f64 (*.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1) |
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(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(+.f64 0 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) 1) |
(*.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 1) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) |
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 1) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 3) 1/3) |
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) 3) |
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) 2) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) -1) |
(sqrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (exp.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) -1)) |
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1)) |
(+.f64 0 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
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(-.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) 1) |
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(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) |
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(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4))) |
(*.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(*.f64 (*.f64 (-.f64 beta alpha) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 2) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) 1/3) |
(pow.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(sqrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 beta 2)))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 1)) |
(fma.f64 1 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 beta (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) (/.f64 beta (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(+.f64 0 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 1/2)) |
(/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) |
(/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) -1) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 alpha (-.f64 beta 2)))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (hypot.f64 (+.f64 alpha beta) (sqrt.f64 (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))) |
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) -1) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) |
(hypot.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 beta 2))) |
(hypot.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)) |
| Outputs |
|---|
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) alpha (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (/.f64 (*.f64 beta -1/2) (pow.f64 (+.f64 beta 2) 2))) alpha 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) (fma.f64 (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2))) (/.f64 1 (+.f64 beta 2)))) alpha 1)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) alpha (+.f64 1 (fma.f64 (fma.f64 (*.f64 1/2 (+.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (*.f64 (*.f64 1/2 beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 1/2 (fma.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (fma.f64 (*.f64 beta 1/2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (/.f64 (*.f64 beta -1/2) (pow.f64 (+.f64 beta 2) 2))) alpha 1)) |
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 1/2 (fma.f64 beta (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (fma.f64 (*.f64 beta 1/2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (*.f64 -1/2 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 (*.f64 beta -1/2) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2))) (fma.f64 (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2))) (/.f64 1 (+.f64 beta 2)))) alpha 1)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) alpha) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2))))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (+.f64 (*.f64 -1/2 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2)))))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))) (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) alpha (+.f64 1 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 -1/2 (+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))) (*.f64 -1/2 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 1/2 (+.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))))))) (pow.f64 alpha 3) (fma.f64 (fma.f64 (*.f64 1/2 (+.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) (*.f64 (*.f64 1/2 beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 (*.f64 beta (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (fma.f64 -1/2 (fma.f64 beta (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 1/2 (fma.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta 2))))))) (pow.f64 alpha 3) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 1/2 (fma.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (fma.f64 (*.f64 beta 1/2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))))) (*.f64 alpha alpha) (/.f64 beta (+.f64 beta 2)))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (/.f64 (*.f64 beta -1/2) (pow.f64 (+.f64 beta 2) 2))) alpha 1)) |
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1 |
1 |
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 2 alpha)))) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
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(+.f64 1 (fma.f64 beta (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (fma.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (+.f64 2 alpha)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (*.f64 -1/2 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) -1/2))))) (fma.f64 (*.f64 beta beta) (fma.f64 -1/2 (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (*.f64 -1/2 (*.f64 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))))) |
(+.f64 1 (fma.f64 beta (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (fma.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 1/2 (*.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (sqrt.f64 (+.f64 2 alpha)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (*.f64 -1/2 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) -1/2))))) (fma.f64 beta (*.f64 beta (fma.f64 -1/2 (fma.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) (*.f64 -1/2 (*.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))))) |
1 |
1 |
(sqrt.f64 (/.f64 1 (+.f64 beta 2))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2)))) (pow.f64 alpha 3)) (sqrt.f64 (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (+.f64 beta 2))) (pow.f64 alpha 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (*.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 alpha 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) 1/4) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (*.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 alpha 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) alpha) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(sqrt.f64 (/.f64 1 (+.f64 2 alpha))) |
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(+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) |
(fma.f64 (*.f64 beta -1/2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (pow.f64 beta 2)) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 (*.f64 beta beta) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) |
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 (*.f64 beta beta) (sqrt.f64 (+.f64 2 alpha)))) (fma.f64 (*.f64 beta -1/2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) |
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 (*.f64 beta beta) (sqrt.f64 (+.f64 2 alpha)))) (fma.f64 (*.f64 beta -1/2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) |
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (pow.f64 beta 2)) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 2 alpha)) (*.f64 (pow.f64 beta 3) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 (*.f64 beta beta) (sqrt.f64 (+.f64 2 alpha)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
(+.f64 (fma.f64 (*.f64 beta -1/2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 beta 3) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/2 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2))))))) |
(+.f64 (fma.f64 (*.f64 beta -1/2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 beta 3) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/2 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) |
(neg.f64 (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) (neg.f64 alpha)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(fma.f64 -1 (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 beta (fma.f64 1/2 (*.f64 alpha (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(-.f64 (*.f64 beta (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (fma.f64 -1 (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 beta (fma.f64 1/2 (*.f64 alpha (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (-.f64 (*.f64 beta (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (-.f64 (*.f64 beta (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) alpha) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) alpha) (sqrt.f64 (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) alpha)) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (fma.f64 (pow.f64 beta 3) (*.f64 1/2 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (sqrt.f64 (+.f64 2 alpha))) (*.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha)))))) (fma.f64 -1 (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (*.f64 beta (fma.f64 1/2 (*.f64 alpha (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (fma.f64 (pow.f64 beta 3) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2)) (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) 2) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (-.f64 (*.f64 beta (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 -1/2 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (fma.f64 (pow.f64 beta 3) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) -1/4)) (*.f64 alpha (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) 1/4) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (-.f64 (*.f64 beta (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 alpha (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))))) |
(*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(fma.f64 (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) alpha (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) alpha (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(fma.f64 (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) alpha (fma.f64 (*.f64 1/2 (+.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2)))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) alpha (fma.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 (*.f64 alpha alpha) 1/2) (fma.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) alpha (fma.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 (*.f64 alpha alpha) 1/2) (fma.f64 beta (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))))) alpha) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (+.f64 beta 2))))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 beta 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))))) |
(fma.f64 (fma.f64 -1 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 -1/2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) alpha (fma.f64 (*.f64 1/2 (+.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (fma.f64 (pow.f64 alpha 3) (*.f64 -1/2 (+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))))) (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) alpha (fma.f64 (*.f64 1/2 (fma.f64 beta (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (fma.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 (pow.f64 alpha 3) -1/2) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 (*.f64 beta (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)))) 2)))))))) |
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 beta -1/2)) (sqrt.f64 (/.f64 1 (+.f64 beta 2)))) alpha (fma.f64 (*.f64 1/2 (fma.f64 beta (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (fma.f64 beta (sqrt.f64 (/.f64 1 (+.f64 beta 2))) (*.f64 (*.f64 (pow.f64 alpha 3) -1/2) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 (*.f64 beta (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) 1/4) (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) -1/4)))))))) |
(sqrt.f64 (+.f64 beta 2)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha)) (sqrt.f64 (+.f64 beta 2))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha) (sqrt.f64 (+.f64 beta 2))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2))) (sqrt.f64 (+.f64 beta 2)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (sqrt.f64 (+.f64 beta 2)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (sqrt.f64 (+.f64 beta 2))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 2))) alpha) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (fma.f64 1/16 (*.f64 (pow.f64 alpha 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (sqrt.f64 (+.f64 beta 2))))) |
(sqrt.f64 (+.f64 2 alpha)) |
(+.f64 (sqrt.f64 (+.f64 2 alpha)) (*.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))))) |
(fma.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha)))) (sqrt.f64 (+.f64 2 alpha))) |
(+.f64 (sqrt.f64 (+.f64 2 alpha)) (+.f64 (*.f64 1/2 (*.f64 beta (sqrt.f64 (/.f64 1 (+.f64 2 alpha))))) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 beta)) (cbrt.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 1/4)) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 1/4)) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4)) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4)) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) (neg.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 1/4)) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 1/4)) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4)) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4)) (/.f64 (neg.f64 alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(+.f64 0 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(*.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4)) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2)) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(/.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))) |
(/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -1/2))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))) |
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 1/4) (sqrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))) |
(/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4) (sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -1/2))) |
(/.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 1/4) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -1/4)) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) -1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 alpha (-.f64 beta 2)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (sqrt.f64 (+.f64 alpha (+.f64 beta -2)))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (hypot.f64 (+.f64 alpha beta) (sqrt.f64 (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (-.f64 4 (*.f64 2 (+.f64 beta alpha)))))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (hypot.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) -2))))) |
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/2) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) -1) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 1/4) 2) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(fabs.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3/2)) |
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3/2)) |
(hypot.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 beta 2))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(hypot.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1/2)) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1)) |
(sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) |
(sqrt.f64 (+.f64 2 (+.f64 beta alpha))) |
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 beta 2) alpha) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 beta 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 beta 2) alpha) |
| 1× | batch-egg-rewrite |
| 764× | pow1_binary64 |
| 716× | add-log-exp_binary64 |
| 715× | log1p-expm1-u_binary64 |
| 715× | expm1-log1p-u_binary64 |
| 703× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 136 | 7 |
| 2 | 1847 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 501× | fma-def_binary64 |
| 341× | log-prod_binary64 |
| 307× | log-div_binary64 |
| 233× | associate-+l+_binary64 |
| 231× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 430 |
| 1 | 213 | 430 |
| 2 | 760 | 313 |
| 3 | 3630 | 313 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(*.f64 (+.f64 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) |
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(-.f64 (+.f64 1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (+.f64 beta 2) (/.f64 1 alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 1 alpha) (+.f64 beta 2)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 0.3b | (/.f64 4 (*.f64 alpha alpha)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 1.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 613× | unpow-prod-down_binary64 |
| 394× | log-prod_binary64 |
| 375× | fma-def_binary64 |
| 247× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 191 | 17 |
| 2 | 2795 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 alpha alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 1 (neg.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 alpha -1) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (pow.f64 (/.f64 1 (*.f64 alpha (neg.f64 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 alpha) (pow.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) 2) (pow.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 2 alpha) 2) 1) (pow.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4) 3) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64 1/3) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 alpha -4)) 4) 1/3) (cbrt.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 2 alpha) 5/2) 2) 1/3) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha alpha) 1/4)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha 1/2) -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 alpha alpha) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 alpha -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 alpha -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 64 (pow.f64 alpha -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) 1/4)) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))))) 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(pow.f64 alpha -2))) (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)))))) |
| 1× | egg-herbie |
| 605× | fma-neg_binary64 |
| 456× | unswap-sqr_binary64 |
| 314× | div-sub_binary64 |
| 240× | sqr-pow_binary64 |
| 208× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 4294970614 |
| 1 | 1212 | 2805 |
| 2 | 4143 | 2769 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 0 (*.f64 4 (pow.f64 alpha -2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (pow.f64 (/.f64 1 (neg.f64 alpha)) 2)) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(*.f64 2 (*.f64 (pow.f64 alpha -1) (/.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(*.f64 1 (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 -4 (/.f64 1 (*.f64 alpha (neg.f64 alpha)))) |
(*.f64 -4 (pow.f64 (/.f64 1 (*.f64 alpha (neg.f64 alpha))) 1)) |
(*.f64 (pow.f64 alpha -2) 4) |
(*.f64 (/.f64 4 alpha) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) 2) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (pow.f64 1 1/3) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3)) |
(*.f64 (pow.f64 (*.f64 (/.f64 2 alpha) 2) 1) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (cbrt.f64 4) 3) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 64 1/3) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 alpha -4)) 4) 1/3) (cbrt.f64 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) 2) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 2 alpha) 5/2) 2) 1/3) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha alpha) 1/4)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(pow.f64 (/.f64 2 alpha) 2) |
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2) |
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3) |
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) -3) 2/3) |
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3) |
(pow.f64 (*.f64 (*.f64 alpha alpha) 1/4) -1) |
(pow.f64 (*.f64 alpha 1/2) -2) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1) |
(pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) 1/4) 1) -1) |
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))) |
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6))) |
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 64 (pow.f64 alpha -6))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) 1/4)) -1)) |
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) |
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(+.f64 0 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 (pow.f64 alpha -3) 1)) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (pow.f64 (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) 1)) |
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (pow.f64 (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) 1)) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) 1)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1/3)) |
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(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))) |
(fabs.f64 (*.f64 -4 (pow.f64 alpha -2))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6))) |
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 64 (pow.f64 alpha -6))) 1/3)) |
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) 1/4)) -1)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(+.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) |
(+.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) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.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) |
(+.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) |
(+.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) |
(+.f64 0 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 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 alpha) (/.f64 4 (*.f64 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 alpha) (/.f64 4 (*.f64 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 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 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)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 (pow.f64 alpha -3) 1)) |
(*.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)) |
(*.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 (+.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)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (pow.f64 (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) 1)) |
(/.f64 (*.f64 (+.f64 (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)))) |
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(/.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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 8 (pow.f64 alpha 3)) |
| ✓ | 0.2b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| 0.3b | (/.f64 4 (*.f64 alpha alpha)) | |
| ✓ | 8.4b | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
Compiled 67 to 44 computations (34.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 8 (pow.f64 alpha 3)) |
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| 0.0ms | alpha | @ | -inf | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| 1× | batch-egg-rewrite |
| 837× | fma-def_binary64 |
| 498× | fma-neg_binary64 |
| 380× | log-div_binary64 |
| 259× | expm1-udef_binary64 |
| 259× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 54 |
| 1 | 338 | 44 |
| 2 | 4913 | 44 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 8 (pow.f64 alpha 3)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 alpha -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 (/.f64 1 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 alpha -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 alpha) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (pow.f64 alpha -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)))))) |
| 1× | egg-herbie |
| 472× | unswap-sqr_binary64 |
| 301× | associate-/l*_binary64 |
| 300× | times-frac_binary64 |
| 264× | fma-neg_binary64 |
| 244× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 436 | 5021 |
| 1 | 1094 | 4769 |
| 2 | 3612 | 4529 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 4 (pow.f64 alpha 3)) |
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3)))) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1) |
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (/.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(*.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))))) |
(*.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (/.f64 1 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))) (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (neg.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))) (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (fma.f64 8 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (pow.f64 alpha 6)) |
(/.f64 (+.f64 (pow.f64 alpha 3) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (pow.f64 alpha 3))) |
(/.f64 (fma.f64 -8 (pow.f64 alpha 3) (*.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 alpha 3))) |
(/.f64 (fma.f64 8 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (pow.f64 alpha 3) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))))) |
(/.f64 (+.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))))) |
(/.f64 (fma.f64 -8 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 8 (pow.f64 alpha -3) (/.f64 16 (pow.f64 alpha 4)))))) |
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(pow.f64 (pow.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 2) |
(pow.f64 (/.f64 2 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) -1) |
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) -2)) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) 1/4)) |
(log.f64 (sqrt.f64 (exp.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) |
(*.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 2 (*.f64 (/.f64 1 alpha) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(*.f64 1 (*.f64 8 (pow.f64 alpha -3))) |
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) |
(*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) |
(*.f64 (pow.f64 alpha -3) 8) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(pow.f64 (/.f64 2 alpha) 3) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
| Outputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha -2) -4)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(/.f64 4 (pow.f64 alpha 3)) |
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(/.f64 1 alpha) |
(pow.f64 alpha -1) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))) |
(+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha))) |
(+.f64 (pow.f64 alpha -1) (*.f64 -2 (pow.f64 alpha -2))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(/.f64 1 alpha) |
(pow.f64 alpha -1) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))) |
(+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha))) |
(+.f64 (pow.f64 alpha -1) (*.f64 -2 (pow.f64 alpha -2))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha -1) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 (pow.f64 alpha -1) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (*.f64 -2 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (/.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) (fma.f64 8 (pow.f64 alpha -3) (/.f64 (neg.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 (pow.f64 alpha -3) -8)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 64 (pow.f64 alpha 6)))) |
(*.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (/.f64 1 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) (fma.f64 8 (pow.f64 alpha -3) (/.f64 (neg.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))) (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 (pow.f64 alpha -3) -8)) (/.f64 64 (pow.f64 alpha 6)))) |
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(/.f64 1 (/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)))) |
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(fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 8 (pow.f64 alpha -3)))) |
(fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (fma.f64 (pow.f64 alpha -2) -4 (*.f64 8 (pow.f64 alpha -3)))) |
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 8 (pow.f64 alpha -3) (/.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 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (/.f64 2 alpha))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) 1) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(-.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (/.f64 (*.f64 4 (pow.f64 alpha -2)) 2)) |
(-.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (/.f64 4 (/.f64 2 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (*.f64 2 (pow.f64 alpha -2))) |
(+.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) 2) (*.f64 -2 (pow.f64 alpha -2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 1) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 1 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 2)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 2) (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) (*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1/2)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) (sqrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1/2)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 (neg.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) -1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(*.f64 1/2 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(pow.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 1) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 3) 1/3) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 3) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(pow.f64 (/.f64 2 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) -1) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) -2)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) 1/4)) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) 1/4)) |
(fabs.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2)) |
(log.f64 (sqrt.f64 (exp.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(log.f64 (sqrt.f64 (exp.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) 3)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(exp.f64 (log.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2)) 1)) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1/2) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1/2) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 2 (*.f64 (/.f64 1 alpha) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 1 (*.f64 8 (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 4 (*.f64 (*.f64 (pow.f64 alpha -2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 alpha -3) 8) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))))) |
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2))) (*.f64 (*.f64 4 (pow.f64 alpha -2)) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 4 (*.f64 (*.f64 (pow.f64 alpha -2) (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(pow.f64 (/.f64 2 alpha) 3) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(/.f64 8 (pow.f64 alpha 3)) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))) |
(*.f64 8 (pow.f64 alpha -3)) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(*.f64 8 (pow.f64 alpha -3)) |
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(*.f64 8 (pow.f64 alpha -3)) |
(exp.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(*.f64 8 (pow.f64 alpha -3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 alpha -3))) 1)) |
(*.f64 8 (pow.f64 alpha -3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
Compiled 31363 to 24074 computations (23.2% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1018 | 4 | 1022 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 8 | 11 |
| Total | 1023 | 22 | 1045 |
| Status | Error | Program |
|---|---|---|
| 33.2b | (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) | |
| 33.4b | (/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2) | |
| 33.2b | (/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 alpha))) 1) 2) | |
| 49.3b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) | |
| ✓ | 43.6b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ✓ | 48.0b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
| 60.6b | (/.f64 (/.f64 beta alpha) 2) | |
| 56.9b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) | |
| ✓ | 17.1b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ✓ | 32.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 33.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 17.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 19.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 49.0b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) | |
| 44.8b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) | |
| 46.9b | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) | |
| 56.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 42.1b | (/.f64 2 2) |
| 48.4b | (/.f64 1 alpha) | |
| ✓ | 32.8b | (/.f64 1 2) |
| ✓ | 43.6b | (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
| 45.5b | (*.f64 -1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
Compiled 277 to 215 computations (22.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(*.f64 -1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 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 -1/2 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 3)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 alpha))) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) 1) 2) |
(/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) |
| 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 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
8 calls:
| 83.0ms | alpha |
| 60.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 24.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 19.0ms | beta |
| 18.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 2.9b | 2 | alpha |
| 17.1b | 1 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 530 to 369 computations (30.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999997543905286 | -0.9985466026732804 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(*.f64 -1/2 (+.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha alpha) -4)) (+.f64 beta (-.f64 alpha 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
8 calls:
| 26.0ms | alpha |
| 17.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 16.0ms | beta |
| 14.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 10.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.9b | 2 | alpha |
| 17.1b | 1 | 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 392 to 281 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999998397 | -0.9999997543905286 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 29.0ms | alpha |
| 14.0ms | beta |
| 14.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 2.9b | 2 | alpha |
| 17.8b | 1 | 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 275 to 202 computations (26.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999998397 | -0.9999997543905286 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 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:
| 21.0ms | alpha |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | beta |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.0b | 2 | alpha |
| 17.8b | 1 | 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 260 to 192 computations (26.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999998397 | -0.9999997543905286 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 2 alpha) beta)) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
2 calls:
| 37.0ms | beta |
| 19.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 3.8b | 2 | alpha |
| 17.4b | 3 | beta |
Compiled 155 to 120 computations (22.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 31.19080327492179 | 1374.0861969617713 |
| 15.0ms | 112× | body | 256 | valid |
Compiled 188 to 148 computations (21.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
2 calls:
| 28.0ms | beta |
| 15.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 3.9b | 2 | alpha |
| 17.4b | 3 | beta |
Compiled 89 to 69 computations (22.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 31.19080327492179 | 1374.0861969617713 |
| 12.0ms | 112× | body | 256 | valid |
Compiled 188 to 148 computations (21.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 2 beta)) 2) 2) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
2 calls:
| 33.0ms | beta |
| 15.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 2 | alpha |
| 17.8b | 4 | beta |
Compiled 71 to 55 computations (22.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.2983923366741022 | 31.19080327492179 |
| 13.0ms | 112× | body | 256 | valid |
Compiled 174 to 141 computations (19% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
2 calls:
| 16.0ms | beta |
| 12.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 2 | alpha |
| 19.2b | 3 | beta |
Compiled 53 to 41 computations (22.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.2983923366741022 | 31.19080327492179 |
| 12.0ms | 112× | body | 256 | valid |
Compiled 160 to 134 computations (16.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 1 alpha) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 2 2) |
2 calls:
| 16.0ms | beta |
| 10.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 2 | alpha |
| 19.2b | 3 | beta |
Compiled 46 to 36 computations (21.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.0013909740451071163 | 0.0021738404623524274 |
| 23.0ms | -1.9120728407153764e-57 | -9.482930217910165e-63 |
| 17.0ms | 152× | body | 256 | valid |
| 8.0ms | 30× | body | 1024 | valid |
| 4.0ms | 22× | body | 512 | valid |
| 1.0ms | 4× | body | 2048 | valid |
Compiled 228 to 201 computations (11.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 alpha) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 15.0ms | beta |
| 11.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 2 | alpha |
| 19.3b | 3 | beta |
Compiled 39 to 30 computations (23.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1654730.8359354236 | 6212237788.899263 |
| 24.0ms | -1.9120728407153764e-57 | -9.482930217910165e-63 |
| 22.0ms | 205× | body | 256 | valid |
| 9.0ms | 35× | body | 1024 | valid |
| 4.0ms | 11× | body | 2048 | valid |
| 4.0ms | 21× | body | 512 | valid |
Compiled 224 to 210 computations (6.3% saved)
Total -41.3b remaining (-205.3%)
Threshold costs -41.3b (-205.3%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
2 calls:
| 7.0ms | beta |
| 6.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 2 | alpha |
| 31.7b | 2 | beta |
Compiled 14 to 11 computations (21.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 31.19080327492179 | 1374.0861969617713 |
| 12.0ms | 112× | body | 256 | valid |
Compiled 104 to 92 computations (11.5% saved)
| 1× | egg-herbie |
| 35× | +-commutative_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 27× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 423 |
| 1 | 115 | 423 |
| 2 | 142 | 423 |
| 3 | 162 | 423 |
| 4 | 183 | 423 |
| 5 | 212 | 423 |
| 6 | 245 | 423 |
| 7 | 285 | 423 |
| 8 | 330 | 423 |
| 9 | 353 | 423 |
| 10 | 355 | 423 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.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 490) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 1350) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 beta -795081179150273/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 alpha) (if (<=.f64 beta 4842270319348757/2305843009213693952) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 2 2))) |
(if (<=.f64 beta -1678504711539465/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 1 alpha) (if (<=.f64 beta 1700000) (/.f64 1 2) (/.f64 2 2))) |
(if (<=.f64 alpha 63/2) (/.f64 1 2) (/.f64 1 alpha)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8998192055486251/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8998192055486251/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007197453301141/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007197453301141/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007197453301141/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007197453301141/9007199254740992) (/.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)) -9007197453301141/9007199254740992) (/.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 490) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 490) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)) |
(if (<=.f64 alpha 1350) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(if (<=.f64 alpha 1350) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1/2)) |
(if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (*.f64 -1/2 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1/2)) |
(if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) -1/2)) |
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 beta -795081179150273/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 alpha) (if (<=.f64 beta 4842270319348757/2305843009213693952) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 2 2))) |
(if (<=.f64 beta -795081179150273/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 alpha) (if (<=.f64 beta 4842270319348757/2305843009213693952) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) 1)) |
(if (<=.f64 beta -795081179150273/441711766194596082395824375185729628956870974218904739530401550323154944) (/.f64 1 alpha) (if (<=.f64 beta 4842270319348757/2305843009213693952) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) 1)) |
(if (<=.f64 beta -1678504711539465/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 1 alpha) (if (<=.f64 beta 1700000) (/.f64 1 2) (/.f64 2 2))) |
(if (<=.f64 beta -1678504711539465/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 1 alpha) (if (<=.f64 beta 1700000) 1/2 1)) |
(if (<=.f64 alpha 63/2) (/.f64 1 2) (/.f64 1 alpha)) |
(if (<=.f64 alpha 63/2) 1/2 (/.f64 1 alpha)) |
(/.f64 1 2) |
1/2 |
Compiled 315 to 225 computations (28.6% 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 293 to 195 computations (33.4% saved)
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