Time bar (total: 8.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 56.2% | 43.8% | 0 |
| 0% | 56.2% | 43.8% | 1 |
| 0% | 56.2% | 43.8% | 2 |
| 14% | 42.1% | 43.8% | 3 |
| 21.1% | 35.1% | 43.8% | 4 |
| 31.6% | 24.6% | 43.8% | 5 |
| 36.9% | 19.3% | 43.8% | 6 |
| 43% | 13.2% | 43.8% | 7 |
| 46.1% | 10.1% | 43.8% | 8 |
| 49.4% | 6.8% | 43.8% | 9 |
| 51% | 5.2% | 43.8% | 10 |
| 52.7% | 3.5% | 43.8% | 11 |
| 53.6% | 2.6% | 43.8% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 1.3s | 6486× | body | 256 | valid |
| 496.0ms | 1035× | body | 1024 | valid |
| 167.0ms | 624× | body | 512 | valid |
| 112.0ms | 111× | 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)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 1 | 6 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 6 | 1 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.7b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) | |
| 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) | |
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) |
| ✓ | 1.7b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
Compiled 50 to 28 computations (44% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 2.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 2.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 2.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 2.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 1× | batch-egg-rewrite |
| 581× | log-prod_binary64 |
| 577× | fma-def_binary64 |
| 386× | fma-neg_binary64 |
| 331× | pow2_binary64 |
| 226× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 243 | 29 |
| 2 | 3825 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) (#(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 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 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 |
| 742× | fma-neg_binary64 |
| 416× | unswap-sqr_binary64 |
| 321× | sub-neg_binary64 |
| 256× | fma-def_binary64 |
| 232× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 5466 |
| 1 | 1332 | 5275 |
| 2 | 4764 | 5181 |
| 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 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
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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)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
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(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
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(-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1))) |
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(-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 2 (+.f64 beta alpha)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) 1)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 2 (+.f64 beta alpha))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1) |
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) -1) |
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (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 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 2 beta)) (/.f64 alpha 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 beta (/.f64 (-.f64 (-.f64 -2 alpha) alpha) 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)) (+.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 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta))) (-.f64 (+.f64 (-.f64 2 (/.f64 alpha beta)) (/.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 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
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1 |
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1 |
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(/.f64 beta (+.f64 beta 2)) |
(/.f64 beta (+.f64 2 beta)) |
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(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) |
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(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
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(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
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(-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))) 1) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
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(-.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 alpha (+.f64 2 (+.f64 beta alpha)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
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(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1 -1) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) -1) |
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) |
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1)) -1) |
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) -1) |
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 beta (cbrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 beta (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (+.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (-.f64 alpha (-.f64 -2 beta)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 2 (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.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 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.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 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (pow.f64 (cbrt.f64 (-.f64 alpha (-.f64 -2 beta))) 2)) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(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)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta))))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)) (neg.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha beta) 2) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 beta (+.f64 (-.f64 alpha beta) -2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 beta (-.f64 (+.f64 alpha -2) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
Compiled 11598 to 7508 computations (35.3% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 7 | 381 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 374 | 8 | 382 |
| Status | Error | Program |
|---|---|---|
| 16.0b | (/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) | |
| ▶ | 15.2b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) 2) |
| 17.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) | |
| ▶ | 40.7b | (/.f64 2 2) |
| ▶ | 61.5b | (/.f64 (+.f64 -1 1) 2) |
| ▶ | 45.7b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
| ✓ | 15.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
Compiled 183 to 145 computations (20.8% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.7b | (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1) | |
| 0.0b | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) | |
| 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) | |
| 0.0b | (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) | |
| ✓ | 0.0b | (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) |
| ✓ | 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) |
| ✓ | 0.0b | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
| ✓ | 1.7b | (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1) |
Compiled 87 to 49 computations (43.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
| 1.0ms | alpha | @ | -inf | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) |
| 1.0ms | alpha | @ | 0 | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
| 1.0ms | alpha | @ | -inf | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
| 1.0ms | beta | @ | inf | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
| 1× | batch-egg-rewrite |
| 584× | log-prod_binary64 |
| 363× | fma-def_binary64 |
| 331× | pow2_binary64 |
| 271× | fma-neg_binary64 |
| 226× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 1 | 277 | 58 |
| 2 | 4003 | 58 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) |
(/.f64 1 (+.f64 2 (+.f64 beta alpha))) |
(/.f64 alpha (+.f64 2 (+.f64 beta alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1))))) |
| 1× | egg-herbie |
| 664× | fma-neg_binary64 |
| 355× | fma-def_binary64 |
| 286× | +-commutative_binary64 |
| 272× | log-prod_binary64 |
| 240× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 6884 |
| 1 | 1663 | 6524 |
| 2 | 6082 | 6478 |
| 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 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 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.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 alpha beta)) |
(-.f64 (+.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)))))))) (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 (-.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 beta 2)) alpha)) |
(-.f64 (+.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 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(-.f64 (+.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(-.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 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(/.f64 1 (+.f64 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 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 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) |
(+.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) |
(+.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1) |
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) -1) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) |
(*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) |
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(/.f64 (-.f64 0 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))) |
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) |
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 2) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1)) -1) |
(pow.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) -1)) -1) |
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) |
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(expm1.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) 1)) |
(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta))) -1) |
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1 -1) |
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1 1) |
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) |
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) |
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) -1) |
(fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1) -1) |
(fma.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) |
(fma.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1) |
(fma.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 2 beta))) -1) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4) -1) |
(fma.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)) -1) |
(fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(fma.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) -1) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 0 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) 1) |
(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 0) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) |
(*.f64 1 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1) |
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 2)) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1) |
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 2)) |
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) |
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) |
(log.f64 (/.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) |
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1)) |
(+.f64 0 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) |
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) |
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) |
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -1) |
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2) 1/2) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) 2) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta)))) -1) |
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1)) |
(+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 1) |
(*.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) |
(*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) |
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1/2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) -1) |
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) 1) -1) |
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) -1) |
(fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 1 -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1) |
| 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 (+.f64 (neg.f64 beta) -2) 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)) |
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2 |
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2 |
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(fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2) |
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 beta 2)) alpha) |
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1 |
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1 |
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(/.f64 alpha beta) |
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(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)) |
(/.f64 (*.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) |
(*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) |
(/.f64 (*.f64 alpha (-.f64 2 (+.f64 alpha beta))) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) |
(/.f64 alpha (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (-.f64 2 alpha) beta))) |
(*.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 alpha (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 alpha (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (*.f64 alpha (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) 1/2) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) 1/3) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) alpha) 1) -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(fma.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) 1 -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1)) -1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
Compiled 6 to 6 computations (0% saved)
Compiled 13 to 13 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.7b | (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) | |
| ✓ | 1.7b | (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
Compiled 29 to 21 computations (27.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
| 1× | batch-egg-rewrite |
| 906× | pow1_binary64 |
| 850× | add-log-exp_binary64 |
| 849× | log1p-expm1-u_binary64 |
| 849× | expm1-log1p-u_binary64 |
| 836× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 160 | 10 |
| 2 | 2198 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
| 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)))))))) |
| 1× | egg-herbie |
| 519× | distribute-rgt-in_binary64 |
| 474× | distribute-lft-in_binary64 |
| 471× | div-sub_binary64 |
| 312× | cancel-sign-sub-inv_binary64 |
| 293× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 706 |
| 1 | 264 | 674 |
| 2 | 845 | 660 |
| 3 | 3932 | 660 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 1 (/.f64 (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)))) |
| 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)))) |
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(fma.f64 -1/2 alpha (fma.f64 1/4 (*.f64 alpha alpha) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 1/4 (*.f64 alpha alpha) 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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 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 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (fma.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) | |
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 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 beta)) 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 |
| 431× | fma-def_binary64 |
| 388× | log-prod_binary64 |
| 364× | log-div_binary64 |
| 213× | associate-/l*_binary64 |
| 196× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 477 |
| 1 | 212 | 477 |
| 2 | 720 | 360 |
| 3 | 3593 | 360 |
| 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 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 2 (/.f64 alpha beta)) |
(/.f64 (*.f64 2 beta) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 (*.f64 2 beta) 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 (+.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) |
Compiled 16793 to 11825 computations (29.6% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 562 | 7 | 569 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 563 | 14 | 577 |
| Status | Error | Program |
|---|---|---|
| 16.0b | (/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) | |
| ✓ | 15.2b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) 2) |
| ▶ | 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| ✓ | 15.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
| ▶ | 31.4b | (/.f64 1 2) |
| 17.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) | |
| ▶ | 45.7b | (/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2) |
| ✓ | 40.7b | (/.f64 2 2) |
| 58.2b | (/.f64 (/.f64 (*.f64 2 beta) alpha) 2) | |
| ▶ | 58.2b | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| ✓ | 45.7b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
| ▶ | 16.0b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2) |
| 49.4b | (/.f64 (/.f64 2 alpha) 2) |
Compiled 271 to 214 computations (21% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.1b | (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) | |
| 0.0b | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) | |
| 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) | |
| 0.0b | (/.f64 1 (+.f64 alpha (+.f64 2 beta))) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
| 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) | |
| ✓ | 0.0b | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) |
| ✓ | 16.1b | (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) |
Compiled 100 to 65 computations (35% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) |
| 1.0ms | alpha | @ | inf | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) |
| 1.0ms | beta | @ | -inf | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) |
| 1.0ms | beta | @ | 0 | (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) |
| 1× | batch-egg-rewrite |
| 603× | log-prod_binary64 |
| 565× | fma-def_binary64 |
| 285× | fma-neg_binary64 |
| 249× | expm1-udef_binary64 |
| 249× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 1 | 345 | 48 |
| 2 | 4362 | 48 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2) (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule 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(+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) -1) (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1)))))) |
| 1× | egg-herbie |
| 563× | cancel-sign-sub-inv_binary64 |
| 520× | unswap-sqr_binary64 |
| 392× | fma-neg_binary64 |
| 265× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 4601 |
| 1 | 1307 | 4385 |
| 2 | 4609 | 4334 |
| 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 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.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 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(-.f64 (+.f64 2 (+.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 (/.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)))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 3) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (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 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 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.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 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
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(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1) |
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1)) |
| 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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(+.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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.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)) |
(/.f64 (+.f64 (neg.f64 beta) -2) alpha) |
(/.f64 (fma.f64 -1 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)) |
(/.f64 (+.f64 (neg.f64 beta) -2) alpha) |
(/.f64 (fma.f64 -1 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 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 beta (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) 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) |
(+.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) -1) |
(+.f64 -1 (+.f64 (-.f64 (*.f64 beta (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))) |
(+.f64 -1 (+.f64 (fma.f64 (*.f64 beta beta) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) 1)) |
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta))) -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 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta)))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta)))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha -1)) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) 1)) |
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta))) -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 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta)))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta)))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha -1)) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.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 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 1) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (*.f64 beta (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 1 (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.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 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) 1) (*.f64 (*.f64 beta beta) (+.f64 (/.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 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) 1) (*.f64 beta (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 alpha (+.f64 alpha 2))) |
2 |
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta)) |
(+.f64 2 (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha 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 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta)))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta) beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 2 (/.f64 alpha beta))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 2 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (/.f64 (-.f64 -2 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta))))))) |
(-.f64 (+.f64 2 (+.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 (/.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 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta)))))) |
(+.f64 2 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (+.f64 alpha 2) beta)) (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) |
(+.f64 2 (+.f64 (-.f64 (/.f64 (-.f64 -2 alpha) beta) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 beta (/.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta) 2) |
(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) |
(+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
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(/.f64 1 alpha) |
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(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(neg.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(-.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 2)) |
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (exp.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) |
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) |
(-.f64 1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) 3)) |
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
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(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
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(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(exp.f64 (log.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) |
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(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) 1)) |
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(+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(+.f64 0 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
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(+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 1) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
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(-.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(-.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
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(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) 0) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))) |
(-.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
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(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
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(*.f64 (cbrt.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 2)) |
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(pow.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 1) |
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(pow.f64 (pow.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3) 1/3) |
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(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))) (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) 3)) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(expm1.f64 (log1p.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta)))))) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (+.f64 alpha (+.f64 2 beta))))) 1)) |
(+.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(+.f64 0 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) (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 (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 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) |
(*.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 beta (+.f64 alpha 2))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) |
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 1 (fma.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)) (*.f64 alpha alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (fma.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2) 4)) |
(/.f64 (*.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)) 4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) |
(/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha beta) 2)) |
(/.f64 (*.f64 1 (-.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (+.f64 -2 (-.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3) 1/3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) 2) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 3)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 2 beta))) -1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 2 beta)))) 1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
(/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) |
Compiled 7 to 7 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (/.f64 2 (/.f64 alpha beta)) | |
| ✓ | 0.5b | (/.f64 2 (/.f64 alpha beta)) |
Compiled 20 to 10 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | inf | (/.f64 2 (/.f64 alpha beta)) |
| 1.0ms | alpha | @ | 0 | (/.f64 2 (/.f64 alpha beta)) |
| 1.0ms | beta | @ | 0 | (/.f64 2 (/.f64 alpha beta)) |
| 1.0ms | alpha | @ | inf | (/.f64 2 (/.f64 alpha beta)) |
| 1.0ms | beta | @ | -inf | (/.f64 2 (/.f64 alpha beta)) |
| 1× | batch-egg-rewrite |
| 699× | pow1_binary64 |
| 651× | add-log-exp_binary64 |
| 651× | log1p-expm1-u_binary64 |
| 651× | expm1-log1p-u_binary64 |
| 638× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1767 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (/.f64 alpha beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 alpha beta) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
| 1× | egg-herbie |
| 428× | associate-/r*_binary64 |
| 397× | fma-def_binary64 |
| 383× | associate-/l/_binary64 |
| 353× | distribute-rgt-in_binary64 |
| 326× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 355 |
| 1 | 159 | 355 |
| 2 | 583 | 355 |
| 3 | 2442 | 352 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 beta (/.f64 2 alpha)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 1 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta))) |
(*.f64 (/.f64 beta alpha) 2) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta)) |
(*.f64 (*.f64 (/.f64 2 alpha) 1) beta) |
(*.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(pow.f64 (*.f64 (/.f64 alpha beta) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 alpha beta) 2))) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
| Outputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 beta (/.f64 2 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 1 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (/.f64 beta alpha) 2) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (*.f64 (/.f64 2 alpha) 1) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(pow.f64 (*.f64 (/.f64 alpha beta) 1/2) -1) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 alpha beta) 2))) |
(sqrt.f64 (pow.f64 (/.f64 2 (/.f64 alpha beta)) 2)) |
(fabs.f64 (/.f64 beta (*.f64 alpha 1/2))) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
Compiled 21 to 17 computations (19% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) | |
| ✓ | 0.0b | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
Compiled 40 to 21 computations (47.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
| 1.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) |
| 1× | batch-egg-rewrite |
| 906× | pow1_binary64 |
| 850× | add-log-exp_binary64 |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 835× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2495 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (+.f64 alpha 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 |
| 487× | fma-def_binary64 |
| 405× | log-prod_binary64 |
| 373× | log-div_binary64 |
| 223× | associate-/l*_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 609 |
| 1 | 218 | 609 |
| 2 | 743 | 456 |
| 3 | 3801 | 456 |
| 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 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 2 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 (/.f64 2 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 (/.f64 2 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 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(/.f64 (+.f64 2 (*.f64 2 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 (/.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) |
Compiled 15058 to 10691 computations (29% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 3 | 494 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 493 | 15 | 508 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.0b | (/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) |
| ✓ | 15.2b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) 2) |
| ✓ | 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| ✓ | 15.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
| ✓ | 31.4b | (/.f64 1 2) |
| 17.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) | |
| ▶ | 58.2b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 40.7b | (/.f64 2 2) |
| ▶ | 45.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 58.2b | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| ✓ | 45.7b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 43.7b | (/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
| ✓ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
| ✓ | 16.0b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2) |
| ▶ | 49.4b | (/.f64 (/.f64 2 alpha) 2) |
Compiled 238 to 190 computations (20.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.1b | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) | |
| 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) | |
| 0.0b | (/.f64 1 (+.f64 2 (+.f64 beta alpha))) | |
| ✓ | 16.1b | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
Compiled 50 to 26 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | alpha | @ | -inf | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | 0 | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | inf | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| 1× | batch-egg-rewrite |
| 622× | prod-diff_binary64 |
| 486× | log-prod_binary64 |
| 339× | fma-def_binary64 |
| 294× | pow2_binary64 |
| 201× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 227 | 16 |
| 2 | 3161 | 16 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)))))) |
| 1× | egg-herbie |
| 556× | times-frac_binary64 |
| 516× | associate-*l*_binary64 |
| 394× | associate-/l*_binary64 |
| 351× | distribute-rgt-in_binary64 |
| 337× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1706 |
| 1 | 658 | 1611 |
| 2 | 2375 | 1527 |
| 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 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 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 (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 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 (*.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))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (fma.f64 beta (*.f64 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))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (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 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 beta (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)) |
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 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.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)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.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 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) 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 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.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 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)))))))) |
(+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) 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 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))))) |
(+.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 -1 beta -2) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(-.f64 (-.f64 (/.f64 (fma.f64 2 beta 2) alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (+.f64 (-.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 beta 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (+.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha 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 2 (+.f64 beta alpha))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha 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 2 (+.f64 beta alpha)))))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.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)) (-.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) -1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) 1/2) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3) 1/3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) 2) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha 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 2 (+.f64 beta alpha))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 3)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
Compiled 12 to 9 computations (25% saved)
Compiled 19 to 15 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 2 (/.f64 beta alpha)) | |
| ✓ | 0.0b | (*.f64 2 (/.f64 beta alpha)) |
Compiled 20 to 10 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 0.0ms | beta | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 0.0ms | alpha | @ | -inf | (*.f64 2 (/.f64 beta alpha)) |
| 0.0ms | beta | @ | -inf | (*.f64 2 (/.f64 beta alpha)) |
| 0.0ms | alpha | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 652× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1608 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
| 1× | egg-herbie |
| 701× | log-prod_binary64 |
| 438× | associate-*l*_binary64 |
| 400× | associate-*r*_binary64 |
| 373× | fma-def_binary64 |
| 321× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 260 |
| 1 | 142 | 200 |
| 2 | 511 | 140 |
| 3 | 3948 | 140 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(+.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) -1) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) 0) |
(*.f64 2 (/.f64 beta alpha)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 2 beta) alpha) | |
| ✓ | 0.2b | (*.f64 (/.f64 2 beta) alpha) |
Compiled 29 to 20 computations (31% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (*.f64 (/.f64 2 beta) alpha) |
| 1.0ms | beta | @ | 0 | (*.f64 (/.f64 2 beta) alpha) |
| 1.0ms | alpha | @ | inf | (*.f64 (/.f64 2 beta) alpha) |
| 1.0ms | alpha | @ | -inf | (*.f64 (/.f64 2 beta) alpha) |
| 1.0ms | beta | @ | inf | (*.f64 (/.f64 2 beta) alpha) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1557 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 2 beta) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 alpha (*.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 beta (*.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 alpha) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 alpha) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha -2) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta)))))))) |
| 1× | egg-herbie |
| 688× | log-prod_binary64 |
| 431× | associate-*l*_binary64 |
| 403× | associate-*r*_binary64 |
| 386× | fma-def_binary64 |
| 318× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 315 |
| 1 | 138 | 315 |
| 2 | 493 | 315 |
| 3 | 3897 | 315 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 alpha beta))) 1) |
(/.f64 2 (/.f64 beta alpha)) |
(/.f64 alpha (*.f64 beta 1/2)) |
(/.f64 1 (/.f64 beta (*.f64 2 alpha))) |
(/.f64 (*.f64 2 alpha) beta) |
(/.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta)) |
(/.f64 (/.f64 (*.f64 2 alpha) 1) beta) |
(/.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (*.f64 -2 alpha) (neg.f64 beta)) |
(/.f64 (*.f64 alpha -2) (neg.f64 beta)) |
(pow.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 2)) |
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 2 beta))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta)))) |
| Outputs |
|---|
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 alpha beta))) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 alpha (*.f64 beta 1/2)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 1 (/.f64 beta (*.f64 2 alpha))) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (*.f64 2 alpha) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (neg.f64 (*.f64 2 alpha)) (neg.f64 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (/.f64 (*.f64 2 alpha) 1) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (/.f64 (*.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (/.f64 (*.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (*.f64 -2 alpha) (neg.f64 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(/.f64 (*.f64 alpha -2) (neg.f64 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(pow.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 2)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 2 beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3)) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(/.f64 alpha (/.f64 beta 2)) |
(*.f64 alpha (/.f64 2 beta)) |
Compiled 6456 to 4482 computations (30.6% saved)
15 alts after pruning (2 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 1 | 248 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 12 | 13 |
| Total | 248 | 15 | 263 |
| Status | Error | Program |
|---|---|---|
| ✓ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
| 45.7b | (/.f64 (+.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))) 2) | |
| ✓ | 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| ✓ | 15.8b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
| ✓ | 31.4b | (/.f64 1 2) |
| 17.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) | |
| ✓ | 58.2b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 40.7b | (/.f64 2 2) |
| ✓ | 45.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 16.0b | (/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) |
| ✓ | 58.2b | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| ✓ | 45.7b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 43.7b | (/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
| ✓ | 16.0b | (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2) |
| ✓ | 49.4b | (/.f64 (/.f64 2 alpha) 2) |
Compiled 183 to 143 computations (21.9% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.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))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) 2) |
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2) |
8 calls:
| 49.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 47.0ms | beta |
| 28.0ms | alpha |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.6b | 2 | alpha |
| 14.0b | 3 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 296 to 209 computations (29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9763056139834447 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.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))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
8 calls:
| 64.0ms | beta |
| 51.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 51.0ms | alpha |
| 46.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 19.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Error | Segments | Branch |
|---|---|---|
| 3.6b | 2 | alpha |
| 14.0b | 3 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 274 to 194 computations (29.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9763056139834447 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) |
(/.f64 (-.f64 2 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 101.0ms | beta |
| 43.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.3b | 2 | alpha |
| 14.5b | 5 | beta |
Compiled 106 to 84 computations (20.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.2114455181268804e+44 | 1.1182800913259533e+46 |
| 21.0ms | 112× | body | 256 | valid |
Compiled 188 to 155 computations (17.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 117.0ms | beta |
| 49.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 2 | alpha |
| 16.2b | 3 | beta |
Compiled 77 to 62 computations (19.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 2.2114455181268804e+44 | 1.1182800913259533e+46 |
| 54.0ms | 112× | body | 256 | valid |
Compiled 160 to 134 computations (16.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2) |
2 calls:
| 55.0ms | beta |
| 48.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | alpha |
| 16.5b | 4 | beta |
Compiled 68 to 55 computations (19.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 296226388.51582754 | 14564554061269.084 |
| 52.0ms | -9.393968410561508e-226 | -4.0979718512840226e-228 |
| 62.0ms | -3.2432452254929763e-203 | -1.1596292072635582e-213 |
| 104.0ms | 276× | body | 256 | valid |
| 45.0ms | 81× | body | 1024 | valid |
| 12.0ms | 35× | body | 512 | valid |
| 5.0ms | 8× | body | 2048 | valid |
Compiled 402 to 364 computations (9.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 61.0ms | beta |
| 44.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | alpha |
| 16.6b | 4 | beta |
Compiled 59 to 48 computations (18.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 296226388.51582754 | 14564554061269.084 |
| 21.0ms | -9.393968410561508e-226 | -4.0979718512840226e-228 |
| 60.0ms | -3.2432452254929763e-203 | -1.1596292072635582e-213 |
| 57.0ms | 287× | body | 256 | valid |
| 26.0ms | 71× | body | 1024 | valid |
| 7.0ms | 31× | body | 512 | valid |
| 5.0ms | 11× | body | 2048 | valid |
Compiled 386 to 356 computations (7.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 66.0ms | beta |
| 19.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | alpha |
| 16.6b | 4 | beta |
Compiled 31 to 26 computations (16.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 296226388.51582754 | 14564554061269.084 |
| 19.0ms | -9.393968410561508e-226 | -4.0979718512840226e-228 |
| 51.0ms | -3.2432452254929763e-203 | -1.1596292072635582e-213 |
| 42.0ms | 78× | body | 1024 | valid |
| 31.0ms | 278× | body | 256 | valid |
| 9.0ms | 39× | body | 512 | valid |
| 2.0ms | 5× | body | 2048 | valid |
Compiled 354 to 332 computations (6.2% saved)
Total -36.5b remaining (-205%)
Threshold costs -36.5b (-205%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 6.0ms | beta |
| 6.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 27.7b | 2 | alpha |
| 17.8b | 2 | beta |
Compiled 14 to 12 computations (14.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 296226388.51582754 | 14564554061269.084 |
| 10.0ms | 87× | body | 256 | valid |
| 7.0ms | 26× | body | 1024 | valid |
| 2.0ms | 11× | body | 512 | valid |
| 1.0ms | 4× | body | 2048 | valid |
Compiled 116 to 111 computations (4.3% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 285 |
| 1 | 95 | 285 |
| 2 | 113 | 285 |
| 3 | 120 | 285 |
| 4 | 123 | 285 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) |
(if (<=.f64 alpha 1600000000000000141141782484902762251229855744) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 259999999999999991244274648090963828407271424) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta -6869968364978113/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (/.f64 1 2) (if (<=.f64 beta -960194078334699/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2)))) |
(if (<=.f64 beta -4349252601750691/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) (/.f64 1 2) (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta -2013611417321171/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (/.f64 1 2) (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) alpha -1))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (neg.f64 (fma.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) alpha -1))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(if (<=.f64 alpha 1600000000000000141141782484902762251229855744) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 1600000000000000141141782484902762251229855744) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 259999999999999991244274648090963828407271424) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 259999999999999991244274648090963828407271424) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta -6869968364978113/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (/.f64 1 2) (if (<=.f64 beta -960194078334699/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 (-.f64 2 (*.f64 (/.f64 2 beta) alpha)) 2)))) |
(if (<=.f64 beta -6869968364978113/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) 1/2 (if (<=.f64 beta -960194078334699/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) 1/2 (/.f64 (-.f64 2 (*.f64 alpha (/.f64 2 beta))) 2)))) |
(if (<=.f64 beta -6869968364978113/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) 1/2 (if (<=.f64 beta -960194078334699/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) 1/2 (/.f64 (+.f64 2 (*.f64 alpha (/.f64 -2 beta))) 2)))) |
(if (<=.f64 beta -4349252601750691/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) (/.f64 1 2) (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta -4349252601750691/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) 1/2 (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) 1/2 (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta -4349252601750691/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104) 1/2 (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) 1/2 (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta -2013611417321171/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (/.f64 1 2) (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta -2013611417321171/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) 1/2 (if (<=.f64 beta -6001212989591869/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 300000000) 1/2 1))) |
(if (<=.f64 beta 300000000) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 300000000) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 216 to 167 computations (22.7% saved)
| 2× | egg-herbie |
| 496× | sub-neg_binary64 |
| 496× | sub-neg_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 399× | associate-/l*_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 |
| 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 |
| 1× | node limit |
Compiled 60 to 44 computations (26.7% saved)
Compiled 200 to 149 computations (25.5% saved)
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