Time bar (total: 2.8s)
| 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 |
| 54.4% | 1.7% | 43.8% | 13 |
| 54.9% | 1.3% | 43.8% | 14 |
Compiled 22 to 16 computations (27.3% saved)
| 689.0ms | 6196× | body | 128 | valid |
| 403.0ms | 1011× | body | 1024 | valid |
| 193.0ms | 631× | body | 512 | valid |
| 58.0ms | 324× | body | 256 | valid |
| 39.0ms | 94× | body | 2048 | valid |
Compiled 44 to 32 computations (27.3% saved)
| 2× | egg-herbie |
| 954× | fma-neg_binary64 |
| 549× | div-sub_binary64 |
| 376× | times-frac_binary64 |
| 249× | cancel-sign-sub-inv_binary64 |
| 246× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 39 | 38 |
| 2 | 64 | 38 |
| 3 | 109 | 38 |
| 4 | 201 | 38 |
| 5 | 404 | 34 |
| 6 | 859 | 34 |
| 7 | 2060 | 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 beta (+.f64 alpha 2))) 2) -1/2) |
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
(+.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 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 434× | cancel-sign-sub-inv_binary64 |
| 372× | div-sub_binary64 |
| 343× | sub-neg_binary64 |
| 331× | fma-neg_binary64 |
| 292× | fma-def_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 67 | 19 |
| 4 | 118 | 19 |
| 5 | 238 | 17 |
| 6 | 445 | 17 |
| 7 | 753 | 17 |
| 8 | 1572 | 17 |
| 9 | 3643 | 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 (+.f64 2 alpha) beta)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 19.4b | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
Compiled 55 to 39 computations (29.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)) |
| ✓ | 1.9b | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | alpha | @ | inf | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| 6.0ms | alpha | @ | -inf | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| 5.0ms | beta | @ | inf | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| 5.0ms | beta | @ | 0 | (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)) |
| 4.0ms | alpha | @ | 0 | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| 1× | batch-egg-rewrite |
| 408× | fma-def_binary64 |
| 244× | fma-neg_binary64 |
| 239× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 261 | 31 |
| 2 | 3763 | 31 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2) (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2)) (/.f64 1 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)) (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2) (-.f64 1/4 (/.f64 1/2 (/.f64 (fma.f64 (+.f64 alpha beta) -2 -4) (-.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2)) (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2))) (neg.f64 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2) 1/4) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 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| 1× | egg-herbie |
| 772× | times-frac_binary64 |
| 643× | fma-def_binary64 |
| 300× | sub-neg_binary64 |
| 266× | cancel-sign-sub-inv_binary64 |
| 156× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 2456 |
| 1 | 569 | 2372 |
| 2 | 2263 | 2234 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) |
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))))) |
(/.f64 (+.f64 beta 1) alpha) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))))))) |
(/.f64 (+.f64 beta 1) alpha) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))))))) |
(-.f64 1/2 (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
1 |
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
1 |
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(/.f64 beta (+.f64 (*.f64 2 beta) 4)) |
(-.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))))) |
-1/2 |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
-1/2 |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
1/2 |
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
1/2 |
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
| Outputs |
|---|
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) |
(+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4))) |
(+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) |
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4))) (/.f64 alpha (fma.f64 2 beta 4))) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))) |
(+.f64 1/2 (-.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))) |
(-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))) |
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))) |
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 beta 4) 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))))) |
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 (*.f64 beta 8) (/.f64 (pow.f64 (fma.f64 beta 2 4) 4) (pow.f64 alpha 3)))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4)))))) |
(-.f64 (+.f64 (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) 1/2)) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (fma.f64 8 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)) (/.f64 alpha (fma.f64 beta 2 4)))))) |
(/.f64 (+.f64 beta 1) alpha) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4)))))) |
(/.f64 (+.f64 beta 1) alpha) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))))))) |
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(-.f64 1/2 (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 1/2 (/.f64 alpha (fma.f64 2 alpha 4))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))) |
(+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (-.f64 1/2 (/.f64 alpha (fma.f64 2 alpha 4)))) |
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4)))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (+.f64 1/2 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))) |
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(+.f64 1/2 (-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)) (+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (*.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))) |
(+.f64 1/2 (-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 3)) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 4)) alpha) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))) |
(+.f64 1/2 (-.f64 (fma.f64 4 (pow.f64 (/.f64 beta (fma.f64 2 alpha 4)) 3) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (fma.f64 2 alpha 4) 4)) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))) |
1 |
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 1 (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (+.f64 1 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 1 (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 1 (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3)))) |
1 |
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 1 (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (+.f64 1 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 1 (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 1 (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 beta (+.f64 (*.f64 2 beta) 4)) |
(/.f64 beta (fma.f64 2 beta 4)) |
(/.f64 beta (fma.f64 beta 2 4)) |
(-.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(-.f64 (/.f64 beta (fma.f64 2 beta 4)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))) |
(-.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) |
(+.f64 (/.f64 beta (fma.f64 2 beta 4)) (-.f64 (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))) |
(+.f64 (/.f64 beta (fma.f64 beta 2 4)) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))) |
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))))) |
(-.f64 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 beta 4) 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))))) |
(+.f64 (/.f64 beta (fma.f64 beta 2 4)) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 (*.f64 beta 8) (/.f64 (pow.f64 (fma.f64 beta 2 4) 4) (pow.f64 alpha 3)))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4)))))) |
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (fma.f64 8 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)) (/.f64 alpha (fma.f64 beta 2 4)))))) |
-1/2 |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) 1/2)) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) -1/2)) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) -1/2) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) |
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 1/2 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) |
-1/2 |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) 1/2)) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) -1/2)) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) |
(+.f64 (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) -1/2) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))))) |
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 1/2 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(neg.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(/.f64 (neg.f64 alpha) (fma.f64 2 alpha 4)) |
(neg.f64 (/.f64 alpha (fma.f64 2 alpha 4))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha)))) |
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4))) |
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4))))) |
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4))))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)) (+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (*.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)))))) |
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 3)) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 4)) alpha) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4))))) |
(-.f64 (fma.f64 4 (pow.f64 (/.f64 beta (fma.f64 2 alpha 4)) 3) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (fma.f64 2 alpha 4) 4)) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4))))) |
1/2 |
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 (+.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) |
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))) |
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3))))))))) |
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3)))) |
1/2 |
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
(+.f64 (+.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) |
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))) |
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))) |
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3))))))))) |
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3)))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 2 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 3 | 167 |
| Status | Error | Program |
|---|---|---|
| 43.8b | (-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) | |
| ✓ | 19.4b | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| ▶ | 43.1b | (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) |
Compiled 4974 to 3244 computations (34.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 -2 (*.f64 alpha alpha)) |
| ✓ | 0.2b | (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))) |
| ✓ | 3.5b | (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) |
| ✓ | 7.3b | (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | beta | @ | -inf | (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) |
| 8.0ms | beta | @ | 0 | (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) |
| 6.0ms | beta | @ | inf | (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) |
| 6.0ms | beta | @ | -inf | (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) |
| 6.0ms | beta | @ | -inf | (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))) |
| 1× | batch-egg-rewrite |
| 174× | add-sqr-sqrt_binary64 |
| 168× | *-un-lft-identity_binary64 |
| 168× | pow1_binary64 |
| 164× | add-exp-log_binary64 |
| 164× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 67 |
| 1 | 328 | 62 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))) |
(/.f64 -2 (*.f64 alpha alpha)) |
| Outputs |
|---|
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exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) alpha) (/.f64 (sqrt.f64 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 alpha alpha) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (pow.f64 alpha -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 alpha -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 alpha -2)))))))) |
| 1× | egg-herbie |
| 321× | distribute-neg-frac_binary64 |
| 262× | fma-def_binary64 |
| 242× | distribute-rgt-neg-in_binary64 |
| 210× | distribute-lft-neg-in_binary64 |
| 194× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 1458 |
| 1 | 92 | 1454 |
| 2 | 237 | 1187 |
| 3 | 706 | 1156 |
| 4 | 2972 | 1085 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 alpha 2)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 beta (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 3 beta) (+.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(/.f64 -2 (pow.f64 alpha 2)) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -2 (pow.f64 alpha 2)) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 beta alpha) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 3 (/.f64 beta (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (pow.f64 alpha 2)) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 beta (pow.f64 alpha 2))))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (*.f64 3 (/.f64 beta (*.f64 alpha alpha))))) |
(-.f64 (/.f64 beta alpha) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta alpha) (/.f64 3 alpha) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 -3 alpha) 1) (/.f64 beta alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 (fma.f64 beta -3 -2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta (-.f64 -3 beta))) (*.f64 alpha alpha))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta (-.f64 -3 beta))) (*.f64 alpha alpha))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(neg.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(*.f64 (/.f64 beta alpha) (neg.f64 (/.f64 beta alpha))) |
(*.f64 (/.f64 beta alpha) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3)))) |
(*.f64 (+.f64 (/.f64 (-.f64 -3 beta) alpha) 1) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta (-.f64 -3 beta))) (*.f64 alpha alpha))) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta (-.f64 -3 beta))) (*.f64 alpha alpha))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(neg.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(*.f64 (/.f64 beta alpha) (neg.f64 (/.f64 beta alpha))) |
(*.f64 (/.f64 beta alpha) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3)))) |
(*.f64 (+.f64 (/.f64 (-.f64 -3 beta) alpha) 1) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta (-.f64 -3 beta))) (*.f64 alpha alpha))) |
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(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 (+.f64 (*.f64 3 beta) (pow.f64 beta 2)) (pow.f64 alpha 2)) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 3)) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta 3))) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
(/.f64 -2 (pow.f64 alpha 2)) |
(/.f64 -2 (*.f64 alpha alpha)) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 0 | 203 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 203 | 3 | 206 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.8b | (-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
| ✓ | 19.4b | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| ✓ | 43.1b | (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) |
Compiled 7119 to 3783 computations (46.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| 1.0ms | beta | @ | -inf | (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| 1× | batch-egg-rewrite |
| 858× | log1p-expm1-u_binary64 |
| 858× | expm1-log1p-u_binary64 |
| 80× | add-sqr-sqrt_binary64 |
| 77× | *-un-lft-identity_binary64 |
| 77× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 10 |
| 2 | 2336 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 beta) (/.f64 alpha beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 beta -2) (/.f64 (-.f64 1 alpha) beta)) (/.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2) (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (*.f64 beta alpha)) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (/.f64 1 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta beta) (+.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta)))) (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 alpha) beta) (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (+.f64 (pow.f64 (/.f64 alpha beta) 2) (-.f64 (pow.f64 beta -2) (/.f64 alpha (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2)) (/.f64 (-.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 beta (*.f64 beta alpha))) (neg.f64 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3))) (neg.f64 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2))) (neg.f64 (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 beta alpha) beta) (*.f64 beta (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 (neg.f64 beta) 1)) (*.f64 (neg.f64 beta) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 (neg.f64 beta) alpha)) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 beta (neg.f64 alpha))) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 beta)) (*.f64 (neg.f64 beta) (neg.f64 alpha))) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (*.f64 (/.f64 beta alpha) 1)) (*.f64 (/.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 alpha) beta) (*.f64 (neg.f64 beta) 1)) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 (/.f64 beta alpha) -1)) (*.f64 (/.f64 beta alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 beta -1)) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 alpha) (neg.f64 beta)) (*.f64 (neg.f64 beta) -1)) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 alpha beta) 2) (pow.f64 beta -2)) (-.f64 (/.f64 alpha beta) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) beta) beta)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 beta -2)) (cbrt.f64 (/.f64 1 beta)) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha beta)) (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta -1/2) (pow.f64 beta -1/2) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 96 |
| 1 | 11 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 1 beta) |
(/.f64 alpha beta) |
(/.f64 alpha beta) |
| Outputs |
|---|
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 (+.f64 1 alpha) beta) |
(/.f64 1 beta) |
(/.f64 alpha beta) |
(/.f64 alpha beta) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 0 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 57 | 3 | 60 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.8b | (-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) |
| ✓ | 19.4b | (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))) |
| ✓ | 43.1b | (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) |
Compiled 897 to 521 computations (41.9% saved)
Total 0.1b remaining (65.4%)
Threshold costs 0.1b (65.4%)
Compiled 3502 to 2458 computations (29.8% saved)
| 1× | left-value |
1 calls:
| 0.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
-0.5 | ∈ [ | -0.9999999984471067 | , | -0.00015214726043187492 | ] | |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 14× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 70 |
| 1 | 48 | 70 |
| 2 | 66 | 70 |
| 3 | 79 | 70 |
| 4 | 92 | 70 |
| 5 | 95 | 70 |
| 6 | 96 | 70 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (+.f64 (/.f64 1 alpha) (-.f64 (fma.f64 -2 (pow.f64 alpha -2) (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (+.f64 (/.f64 1 alpha) (-.f64 (fma.f64 -2 (pow.f64 alpha -2) (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1/2) (+.f64 (/.f64 1 alpha) (-.f64 (fma.f64 -2 (pow.f64 alpha -2) (/.f64 beta alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))) |
| 1× | done |
Compiled 152 to 93 computations (38.8% saved)
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