Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 849.0ms | 6556× | body | 256 | valid |
| 322.0ms | 1021× | body | 1024 | valid |
| 141.0ms | 586× | body | 512 | valid |
| 39.0ms | 93× | body | 2048 | valid |
| 2× | egg-herbie |
| 954× | fma-neg_binary64 |
| 548× | div-sub_binary64 |
| 439× | sub-neg_binary64 |
| 372× | times-frac_binary64 |
| 269× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 39 | 38 |
| 2 | 64 | 38 |
| 3 | 109 | 38 |
| 4 | 203 | 38 |
| 5 | 404 | 34 |
| 6 | 861 | 34 |
| 7 | 2067 | 34 |
| 8 | 5489 | 34 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 496× | sub-neg_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 399× | associate-/l*_binary64 |
| 372× | div-sub_binary64 |
| 352× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 67 | 19 |
| 4 | 119 | 19 |
| 5 | 240 | 17 |
| 6 | 449 | 17 |
| 7 | 756 | 17 |
| 8 | 1582 | 17 |
| 9 | 3687 | 17 |
| 10 | 7455 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1/2 1/2) |
Compiled 77 to 49 computations (36.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 1 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 2 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| ✓ | 1.9b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1× | batch-egg-rewrite |
| 585× | fma-def_binary64 |
| 578× | log-prod_binary64 |
| 369× | fma-neg_binary64 |
| 328× | pow2_binary64 |
| 224× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 243 | 29 |
| 2 | 3788 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) 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| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
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1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
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(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
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-1 |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1) |
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (-.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
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1 |
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1 |
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(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (neg.f64 alpha) (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 4 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) -2))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
Compiled 11718 to 7763 computations (33.8% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 11 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 12 | 391 |
| Status | Error | Program |
|---|---|---|
| 45.5b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| 17.3b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) | |
| ▶ | 44.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 46.2b | (/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) | |
| 32.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| 45.9b | (/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ▶ | 26.4b | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) |
| ▶ | 18.1b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 17.0b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 61.5b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 41.1b | (/.f64 2 2) |
Compiled 417 to 307 computations (26.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
| ✓ | 4.8b | (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
Compiled 63 to 39 computations (38.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | inf | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | 0 | (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
| 0.0ms | beta | @ | 0 | (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 547× | fma-def_binary64 |
| 339× | pow2_binary64 |
| 327× | fma-neg_binary64 |
| 231× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 261 | 39 |
| 2 | 3839 | 39 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) 1) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 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(+.f64 beta (+.f64 alpha 2))) -1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
| 1× | egg-herbie |
| 644× | fma-neg_binary64 |
| 417× | div-sub_binary64 |
| 290× | fma-def_binary64 |
| 253× | +-commutative_binary64 |
| 212× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 551 | 5582 |
| 1 | 1658 | 5346 |
| 2 | 6149 | 5301 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1) |
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) -1) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta alpha)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) |
(fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (-.f64 beta alpha)) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)) 1) |
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 1) |
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha)))) |
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) |
(/.f64 (*.f64 -1 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2) (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) 1) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) -1) (*.f64 (+.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 beta alpha) 1) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta alpha)) |
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha)) |
(/.f64 (*.f64 (-.f64 beta alpha) -1) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(fma.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) beta (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 alpha))) |
(fma.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1) |
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1) |
(+.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1) |
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 2 beta)) (/.f64 alpha beta)) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 2 beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 2 (/.f64 (fma.f64 alpha -1 -2) beta)) (/.f64 alpha beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (-.f64 (+.f64 2 (/.f64 (fma.f64 alpha -1 -2) beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
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1 |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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(-.f64 (+.f64 1 (/.f64 (fma.f64 alpha -1 -2) beta)) (/.f64 alpha beta)) |
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1 |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 alpha -1 -2) beta)) (/.f64 alpha beta)) |
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(/.f64 beta (+.f64 beta 2)) |
(/.f64 beta (+.f64 2 beta)) |
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-1 |
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(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1) |
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-1 |
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(fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) -1) |
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(/.f64 1 (+.f64 2 alpha)) |
(/.f64 1 (+.f64 alpha 2)) |
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(/.f64 1 beta) |
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(/.f64 1 beta) |
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(-.f64 (+.f64 (-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4))) |
(/.f64 1 (+.f64 beta 2)) |
(/.f64 1 (+.f64 2 beta)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
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(-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) |
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(+.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) |
(/.f64 1 alpha) |
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(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
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(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) |
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(fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(/.f64 1 alpha) |
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(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) |
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(fma.f64 -1 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) |
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(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
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(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
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(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
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(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (-.f64 (+.f64 alpha beta) -2)) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
| ✓ | 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | 0 | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 1× | batch-egg-rewrite |
| 882× | pow1_binary64 |
| 828× | add-log-exp_binary64 |
| 828× | log1p-expm1-u_binary64 |
| 828× | expm1-log1p-u_binary64 |
| 814× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2201 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(/.f64 beta (+.f64 beta 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))))))) |
| 1× | egg-herbie |
| 632× | fma-def_binary64 |
| 439× | times-frac_binary64 |
| 387× | unswap-sqr_binary64 |
| 367× | associate-/l*_binary64 |
| 288× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1416 |
| 1 | 459 | 1242 |
| 2 | 1471 | 1152 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))) |
(+.f64 (fma.f64 1/2 beta 1) (*.f64 beta (*.f64 beta -1/4))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta 1) (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 1 (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta)) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) (/.f64 -8 (pow.f64 beta 3))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 2 beta)) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) (/.f64 -8 (pow.f64 beta 3))) |
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4))) |
(*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/8 (pow.f64 beta 3) (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 0)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (fma.f64 beta -2 4))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
Compiled 29 to 14 computations (51.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1× | batch-egg-rewrite |
| 908× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 851× | log1p-expm1-u_binary64 |
| 851× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2487 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 489× | fma-def_binary64 |
| 405× | log-prod_binary64 |
| 373× | log-div_binary64 |
| 222× | associate-/l*_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 609 |
| 1 | 215 | 609 |
| 2 | 742 | 456 |
| 3 | 3802 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 beta (+.f64 alpha -2)) |
| ✓ | 0.0b | (pow.f64 (+.f64 alpha beta) 2) |
| ✓ | 1.9b | (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| ✓ | 20.4b | (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
Compiled 100 to 56 computations (44% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | beta | @ | 0 | (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 2.0ms | alpha | @ | 0 | (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 2.0ms | alpha | @ | inf | (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| 1.0ms | alpha | @ | -inf | (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 1× | batch-egg-rewrite |
| 472× | fma-neg_binary64 |
| 334× | log1p-udef_binary64 |
| 333× | expm1-udef_binary64 |
| 258× | log-pow_binary64 |
| 201× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 67 |
| 1 | 390 | 67 |
| 2 | 5936 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
(pow.f64 (+.f64 alpha beta) 2) |
(+.f64 beta (+.f64 alpha -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2)))) (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta -2)) (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta 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(sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (/.f64 (cbrt.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (+.f64 -64 (pow.f64 (+.f64 beta alpha) 6))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (*.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 3)))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha -2))) (/.f64 (pow.f64 (+.f64 alpha -2) 2) (-.f64 beta (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (sqrt.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 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(*.f64 beta (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) -8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 alpha -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha -2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (exp.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 alpha -2)) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 alpha (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta alpha) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -2)) 2) (cbrt.f64 (+.f64 alpha -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha -2)) (sqrt.f64 (+.f64 alpha -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha -2)))))) |
| 1× | egg-herbie |
| 463× | fma-def_binary64 |
| 346× | distribute-rgt-in_binary64 |
| 325× | distribute-lft-in_binary64 |
| 260× | associate-*r*_binary64 |
| 248× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 10402 |
| 1 | 2184 | 9264 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))) |
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 3))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))))) |
1 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha beta))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 (-.f64 alpha 2) alpha))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)) (pow.f64 alpha 2))) alpha)) (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 3)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
1 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) (pow.f64 beta 2)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) alpha)) (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 3))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha)) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))))) |
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-1 |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))) (+.f64 1 (*.f64 -2 (/.f64 beta alpha)))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) (/.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) (-.f64 (pow.f64 beta 2) 4)) (pow.f64 alpha 3))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)))))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 3))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))))) |
2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha beta))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 (-.f64 alpha 2) alpha))) (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)) (pow.f64 alpha 2))) alpha)) (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 3)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) (pow.f64 beta 2)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (-.f64 alpha 2) alpha) (+.f64 (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -2 (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) alpha)))) alpha)) (*.f64 (-.f64 (+.f64 (*.f64 -1 alpha) alpha) (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 3))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha))) |
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(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4))) (+.f64 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 3)) (*.f64 (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha))))) |
(/.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 beta (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 4))))))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2)))))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta))) (-.f64 (pow.f64 beta 2) 4)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3)))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta))) (-.f64 (pow.f64 beta 2) 4)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))))))) (*.f64 2 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta))))))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta))) (-.f64 (pow.f64 beta 2) 4)))))) (pow.f64 alpha 4))) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3))))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 beta) beta) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 alpha 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 alpha 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (pow.f64 beta 2)) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (*.f64 beta alpha)) (+.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(-.f64 alpha 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
beta |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
beta |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 beta 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
alpha |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
alpha |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 beta alpha) 2) |
(-.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 1) |
(-.f64 (/.f64 beta (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2)))) (/.f64 alpha (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2))))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 alpha (+.f64 beta -2))))) |
(*.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(*.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1)) |
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(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (+.f64 -64 (pow.f64 (+.f64 beta alpha) 6))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 4) 16) (*.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) |
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 beta alpha) 4) -16)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4)) |
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 2) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))) -1) |
(neg.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) |
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(*.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)) (sqrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1))) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) -1) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))) (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3)))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)) -1) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) -1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2) -1)) (neg.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))) |
(pow.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 1) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)) 2) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1)) |
(fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) 1) |
(fma.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) |
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) |
(+.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (+.f64 beta alpha) alpha)) |
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) 1) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(*.f64 (pow.f64 (+.f64 beta alpha) 2) 1) |
(*.f64 1 (pow.f64 (+.f64 beta alpha) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta alpha) 4)) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) |
(*.f64 (sqrt.f64 (+.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 beta alpha)) (+.f64 beta alpha))) |
(*.f64 (*.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha))) |
(*.f64 (*.f64 (+.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (-.f64 alpha beta) (-.f64 alpha beta))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (-.f64 alpha beta))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 beta alpha)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (+.f64 beta alpha)) (-.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta)) |
(sqrt.f64 (pow.f64 (+.f64 beta alpha) 4)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2)))) |
(cbrt.f64 (pow.f64 (+.f64 beta alpha) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta alpha) 2))) |
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta alpha)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta alpha))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2)))) 1) |
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha -2))) (/.f64 (pow.f64 (+.f64 alpha -2) 2) (-.f64 beta (+.f64 alpha -2)))) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) 1) |
(*.f64 1 (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta -2)))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (sqrt.f64 (+.f64 alpha (+.f64 beta -2)))) |
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (/.f64 1 (-.f64 beta (+.f64 alpha -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 (+.f64 beta alpha) -2)) |
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)))) |
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 (pow.f64 (+.f64 alpha -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha -2))))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) -8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) -2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha -2) beta)) |
(pow.f64 (+.f64 alpha (+.f64 beta -2)) 1) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 3) |
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) |
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 2)) |
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta -2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha -2)))) |
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (exp.f64 beta))) |
(log.f64 (*.f64 (exp.f64 (+.f64 alpha -2)) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (+.f64 1 (expm1.f64 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2)))) |
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta -2)))) |
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta -2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta -2))) 1)) |
(fma.f64 1 beta (+.f64 alpha -2)) |
(fma.f64 1 (+.f64 alpha -2) beta) |
(fma.f64 1 (+.f64 beta alpha) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -2)) 2) (cbrt.f64 (+.f64 alpha -2)) beta) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) -2) |
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha -2)) |
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) -2) |
(fma.f64 (sqrt.f64 (+.f64 alpha -2)) (sqrt.f64 (+.f64 alpha -2)) beta) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha -2)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) |
(/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha -2))) (+.f64 (*.f64 alpha alpha) -4)) |
(/.f64 (*.f64 alpha (+.f64 2 (neg.f64 alpha))) (fma.f64 alpha alpha -4)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))) |
(fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha -2)) (+.f64 (*.f64 alpha alpha) -4)) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha -2)) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)) (/.f64 2 (+.f64 (*.f64 alpha alpha) -4)))))) |
(fma.f64 beta (neg.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) (*.f64 alpha alpha)) (/.f64 2 (fma.f64 alpha alpha -4)))) (/.f64 (*.f64 alpha (+.f64 2 (neg.f64 alpha))) (fma.f64 alpha alpha -4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))) |
(fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha -2)) (+.f64 (*.f64 alpha alpha) -4)) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (+.f64 (*.f64 alpha alpha) -4)) (fma.f64 2 (/.f64 (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha -2)) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)) (/.f64 2 (+.f64 (*.f64 alpha alpha) -4)))) (/.f64 (+.f64 (*.f64 alpha alpha) -4) alpha)) (/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha -2))) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)))) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha -2)) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)) (/.f64 2 (+.f64 (*.f64 alpha alpha) -4))))))) |
(-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (-.f64 (/.f64 (*.f64 (*.f64 alpha 2) (neg.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) (*.f64 alpha alpha)) (/.f64 2 (fma.f64 alpha alpha -4))))) (fma.f64 alpha alpha -4)) (/.f64 (*.f64 alpha (+.f64 alpha -2)) (pow.f64 (fma.f64 alpha alpha -4) 2)))) (*.f64 beta (neg.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) (*.f64 alpha alpha)) (/.f64 2 (fma.f64 alpha alpha -4)))))) (/.f64 alpha (/.f64 (fma.f64 alpha alpha -4) (+.f64 alpha -2)))) |
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1 |
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(-.f64 (-.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) (+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 (/.f64 alpha beta) (/.f64 (fma.f64 (fma.f64 alpha alpha -4) (+.f64 -2 (*.f64 -2 alpha)) (*.f64 (*.f64 alpha 2) (-.f64 (-.f64 4 (*.f64 alpha (+.f64 alpha -2))) (*.f64 alpha (+.f64 alpha (*.f64 2 (+.f64 -2 (*.f64 -2 alpha)))))))) (pow.f64 beta 3))))) (/.f64 (+.f64 alpha -2) (/.f64 beta (/.f64 alpha beta)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (fma.f64 2 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 -2 (*.f64 -2 alpha)) beta)) (/.f64 2 beta)))) |
1 |
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(-.f64 (+.f64 (*.f64 0 (/.f64 alpha beta)) 1) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))) |
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(/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
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(-.f64 (fma.f64 alpha (+.f64 (-.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) (*.f64 -2 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2)))) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))) (*.f64 alpha (*.f64 alpha (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (-.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) (*.f64 -2 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))) (/.f64 1 (fma.f64 beta beta -4)))))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4))) (+.f64 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2)))))) |
(fma.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 3) (+.f64 beta -2)))) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 (*.f64 beta beta) -4)) (*.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2)))))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta -2)) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (/.f64 1 (+.f64 (*.f64 beta beta) -4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (/.f64 (neg.f64 (+.f64 beta -2)) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))))) (pow.f64 alpha 3) (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) (fma.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 (*.f64 beta beta) -4)) (*.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 (*.f64 beta beta) -4)) (*.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2)))))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta -2)) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (/.f64 1 (+.f64 (*.f64 beta beta) -4))))))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 3) (+.f64 beta -2))) (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (-.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) (*.f64 -2 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))) (/.f64 1 (fma.f64 beta beta -4)))) (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2))) (/.f64 (+.f64 beta -2) (pow.f64 (fma.f64 beta beta -4) 2)))) (pow.f64 alpha 3) (-.f64 (fma.f64 alpha (+.f64 (-.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) (*.f64 -2 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2)))) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))) (*.f64 alpha (*.f64 alpha (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (-.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) (*.f64 -2 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)) (+.f64 beta -2))) (/.f64 1 (fma.f64 beta beta -4))))))) |
-1 |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))) (+.f64 1 (*.f64 -2 (/.f64 beta alpha)))) |
(+.f64 (/.f64 beta alpha) (-.f64 (/.f64 (neg.f64 (+.f64 beta -2)) alpha) (+.f64 1 (*.f64 -2 (/.f64 beta alpha))))) |
(-.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta -2) alpha)) (fma.f64 -2 (/.f64 beta alpha) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 (+.f64 beta -2)) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))))) (+.f64 1 (fma.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta (-.f64 (neg.f64 (+.f64 beta -2)) (*.f64 beta -2))))) (fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 beta alpha) (-.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (+.f64 beta -2) alpha)) (+.f64 1 (-.f64 (fma.f64 2 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (-.f64 beta (+.f64 beta -2)) (*.f64 2 beta))) (*.f64 -2 (/.f64 beta alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta)))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 beta 2) alpha))))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 (-.f64 beta 2))) (*.f64 -2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta (-.f64 (neg.f64 (+.f64 beta -2)) (*.f64 beta -2))) (*.f64 2 (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 2 (*.f64 beta (+.f64 beta (-.f64 (neg.f64 (+.f64 beta -2)) (*.f64 beta -2)))) (neg.f64 (+.f64 (*.f64 beta beta) -4))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 (+.f64 beta -2)) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2)))))) (+.f64 1 (fma.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta (-.f64 (neg.f64 (+.f64 beta -2)) (*.f64 beta -2))))) (fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) (*.f64 alpha alpha))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (+.f64 beta -2) alpha))) (/.f64 (fma.f64 2 (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta -2)) (-.f64 (*.f64 beta (*.f64 2 (+.f64 (-.f64 beta (+.f64 beta -2)) (*.f64 2 beta)))) (fma.f64 beta beta -4)))) (*.f64 (fma.f64 beta beta -4) (+.f64 (-.f64 beta (+.f64 beta -2)) (*.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (-.f64 (fma.f64 2 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (-.f64 beta (+.f64 beta -2)) (*.f64 2 beta))) (*.f64 -2 (/.f64 beta alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))) alpha) -1) |
(fma.f64 -1 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (neg.f64 (/.f64 (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))) alpha))) (+.f64 1 (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))))) (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) (*.f64 alpha alpha)))))) |
(-.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (+.f64 1 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (*.f64 beta (-.f64 beta 2)) (+.f64 (*.f64 -2 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))))) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) (/.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) (-.f64 (pow.f64 beta 2) 4)) (pow.f64 alpha 3))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (*.f64 beta (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)))))) |
(-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 -2 (*.f64 beta (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta)))) (neg.f64 (+.f64 (*.f64 beta beta) -4)))))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (fma.f64 -1 (/.f64 (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))) alpha) (/.f64 (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta beta) -4)))))) (+.f64 1 (fma.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))))) (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) (*.f64 alpha alpha)))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4))))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2))) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 3)) (fma.f64 beta beta -4)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (+.f64 1 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha)))))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4)))) |
(+.f64 (/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha -2))) (+.f64 (*.f64 alpha alpha) -4)) 1) |
(-.f64 1 (/.f64 alpha (/.f64 (fma.f64 alpha alpha -4) (+.f64 alpha -2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha -2)) (+.f64 (*.f64 alpha alpha) -4)) (*.f64 beta (-.f64 (*.f64 0 (/.f64 alpha (+.f64 (*.f64 alpha alpha) -4))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha -2)) (pow.f64 (+.f64 (*.f64 alpha alpha) -4) 2)) (/.f64 2 (+.f64 (*.f64 alpha alpha) -4))))))) |
(+.f64 1 (fma.f64 beta (neg.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) (*.f64 alpha alpha)) (/.f64 2 (fma.f64 alpha alpha -4)))) (/.f64 (*.f64 alpha (+.f64 2 (neg.f64 alpha))) (fma.f64 alpha alpha -4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha 2) (pow.f64 alpha 2)) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))))) |
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2 |
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(-.f64 (-.f64 (+.f64 2 (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 4 (*.f64 beta beta))) (/.f64 alpha beta))) (/.f64 (+.f64 alpha -2) (/.f64 beta (/.f64 alpha beta)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (fma.f64 2 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 -2 (*.f64 -2 alpha)) beta)) (/.f64 2 beta)))) |
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2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 (/.f64 alpha beta) (-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)))) |
(+.f64 (*.f64 0 (/.f64 alpha beta)) (-.f64 2 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)))) |
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(/.f64 (+.f64 beta (-.f64 (neg.f64 (+.f64 beta -2)) (*.f64 beta -2))) alpha) |
(/.f64 (+.f64 (-.f64 beta (+.f64 beta -2)) (*.f64 2 beta)) alpha) |
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(neg.f64 (/.f64 (-.f64 (*.f64 0 beta) (+.f64 2 (*.f64 2 beta))) alpha)) |
(/.f64 (neg.f64 (+.f64 -2 (*.f64 beta -2))) alpha) |
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beta |
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(-.f64 (+.f64 beta alpha) 2) |
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beta |
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(-.f64 (+.f64 beta alpha) 2) |
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alpha |
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alpha |
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(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
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(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2)))) 1) |
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(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha -2))) (/.f64 (pow.f64 (+.f64 alpha -2) 2) (-.f64 beta (+.f64 alpha -2)))) |
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(*.f64 (+.f64 alpha (+.f64 beta -2)) 1) |
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(+.f64 (+.f64 alpha beta) -2) |
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(+.f64 beta (+.f64 alpha -2)) |
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(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2)) |
(+.f64 beta (+.f64 alpha -2)) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta -2)))) |
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(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (-.f64 beta alpha) 2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 (+.f64 beta alpha) -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 beta (-.f64 alpha -2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)))) |
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 -2 (-.f64 alpha beta))))) |
(/.f64 1 (/.f64 (-.f64 beta (+.f64 alpha -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (-.f64 beta alpha) 2)) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))) |
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 -2 (-.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 (pow.f64 (+.f64 alpha -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha -2))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (+.f64 (pow.f64 (+.f64 alpha -2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha -2))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta (+.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 alpha -2) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (-.f64 beta (+.f64 alpha -2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (-.f64 beta alpha) 2)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (-.f64 (+.f64 alpha -2) beta)))))) |
(*.f64 1 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha -2) (+.f64 -2 (-.f64 alpha beta)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2))) (neg.f64 (-.f64 beta (+.f64 alpha -2)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (neg.f64 (-.f64 beta (+.f64 alpha -2))))) |
(*.f64 1 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha -2) 2)) (+.f64 (-.f64 beta alpha) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) -8) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) -2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) -8) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) -8) (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha -2) beta)) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha -2) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 alpha beta))) |
(pow.f64 (+.f64 alpha (+.f64 beta -2)) 1) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3) 1/3) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 3) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha -2)) 2)) |
(fabs.f64 (+.f64 (+.f64 alpha beta) -2)) |
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta -2)))) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta -2))))) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha -2)))) |
(+.f64 (+.f64 alpha -2) (log1p.f64 (expm1.f64 beta))) |
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(+.f64 beta (log1p.f64 (expm1.f64 (+.f64 alpha -2)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(+.f64 (log1p.f64 (expm1.f64 beta)) (log1p.f64 (expm1.f64 (+.f64 alpha -2)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (exp.f64 beta))) |
(log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(+.f64 beta (log1p.f64 (expm1.f64 (+.f64 alpha -2)))) |
(log.f64 (*.f64 (exp.f64 (+.f64 alpha -2)) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (exp.f64 (+.f64 alpha -2)))) |
(+.f64 (+.f64 alpha -2) (log1p.f64 (expm1.f64 beta))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 alpha -2))) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (+.f64 alpha -2))))) |
(+.f64 (log1p.f64 (expm1.f64 beta)) (log1p.f64 (expm1.f64 (+.f64 alpha -2)))) |
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3)) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta -2)))) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta -2)))) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta -2)))) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta -2))) 1)) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(fma.f64 1 beta (+.f64 alpha -2)) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(fma.f64 1 (+.f64 alpha -2) beta) |
(+.f64 (+.f64 alpha -2) beta) |
(fma.f64 1 (+.f64 beta alpha) -2) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -2)) 2) (cbrt.f64 (+.f64 alpha -2)) beta) |
(fma.f64 1 (+.f64 alpha -2) beta) |
(+.f64 (+.f64 alpha -2) beta) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) -2) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta) (+.f64 alpha -2)) |
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) -2) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
(fma.f64 (sqrt.f64 (+.f64 alpha -2)) (sqrt.f64 (+.f64 alpha -2)) beta) |
(fma.f64 1 (+.f64 alpha -2) beta) |
(+.f64 (+.f64 alpha -2) beta) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha -2)) |
(+.f64 beta (+.f64 alpha -2)) |
(+.f64 (+.f64 alpha beta) -2) |
Compiled 32466 to 21782 computations (32.9% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 913 | 14 | 927 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 916 | 23 | 939 |
| Status | Error | Program |
|---|---|---|
| ▶ | 45.5b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
| ▶ | 17.3b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
| 24.2b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) | |
| 24.3b | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) 2) | |
| ✓ | 44.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 47.8b | (/.f64 (/.f64 2 alpha) 2) | |
| 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| 32.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| 45.9b | (/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 26.9b | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) | |
| 25.0b | (/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) | |
| ✓ | 18.1b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 47.7b | (/.f64 (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (-.f64 (*.f64 -2 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))))) (/.f64 (fma.f64 2 (*.f64 beta (fma.f64 (*.f64 beta -2) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))) (*.f64 (fma.f64 beta beta -4) (+.f64 -2 (*.f64 beta -2))))) (*.f64 (fma.f64 beta beta -4) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))))) (pow.f64 alpha 4)))) (-.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 3)) (fma.f64 beta beta -4)) (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha))))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| ▶ | 44.0b | (/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
| 35.4b | (/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) | |
| 44.4b | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| ▶ | 34.5b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 57.9b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) | |
| 57.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 41.1b | (/.f64 2 2) |
| ▶ | 32.1b | (/.f64 1 2) |
Compiled 947 to 694 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 17.2b | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
Compiled 50 to 31 computations (38% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | -inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1× | batch-egg-rewrite |
| 906× | prod-diff_binary64 |
| 498× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 234× | fma-neg_binary64 |
| 207× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 230 | 16 |
| 2 | 3281 | 16 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
| 1× | egg-herbie |
| 556× | times-frac_binary64 |
| 516× | associate-*l*_binary64 |
| 490× | associate-*r*_binary64 |
| 388× | associate-/l*_binary64 |
| 351× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 1729 |
| 1 | 639 | 1639 |
| 2 | 2341 | 1531 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (fma.f64 beta (*.f64 beta (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (+.f64 1 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 1 (+.f64 (-.f64 (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) beta))) (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) |
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 -1 (/.f64 alpha beta)))) (-.f64 2 (/.f64 alpha beta))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 2 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3))))) |
(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (fma.f64 alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
Compiled 7 to 7 computations (0% saved)
Compiled 21 to 17 computations (19% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) |
| ✓ | 0.2b | (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
Compiled 39 to 22 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | inf | (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
| 0.0ms | beta | @ | 0 | (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
| 0.0ms | alpha | @ | inf | (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) |
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
| 0.0ms | beta | @ | -inf | (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 721× | prod-diff_binary64 |
| 422× | log-prod_binary64 |
| 303× | fma-def_binary64 |
| 297× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 181 | 17 |
| 2 | 2564 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 beta) (-.f64 beta alpha)) |
(+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 1 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 beta (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 beta alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 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1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1) (*.f64 (+.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) -1) (*.f64 (+.f64 beta alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 beta alpha) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 beta)) (+.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 beta) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 beta) (*.f64 (neg.f64 alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 beta) beta (*.f64 (/.f64 1 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 beta) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta alpha) (/.f64 1 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(pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 beta) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 beta) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 beta alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2) 1))))) |
| 1× | egg-herbie |
| 645× | fma-def_binary64 |
| 444× | distribute-rgt-in_binary64 |
| 409× | distribute-lft-in_binary64 |
| 350× | unswap-sqr_binary64 |
| 299× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 1873 |
| 1 | 678 | 1699 |
| 2 | 2176 | 1627 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 1 (*.f64 (neg.f64 alpha) (/.f64 1 beta))) |
(+.f64 1 (*.f64 (/.f64 1 beta) (neg.f64 alpha))) |
(+.f64 0 (-.f64 1 (/.f64 alpha beta))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta)))))) |
(-.f64 1 (/.f64 alpha beta)) |
(-.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1) |
(/.f64 1 (/.f64 beta (-.f64 beta alpha))) |
(/.f64 (-.f64 beta alpha) beta) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 beta (cbrt.f64 (-.f64 beta alpha)))) |
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 beta (sqrt.f64 (-.f64 beta alpha)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta alpha))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 beta)) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (neg.f64 beta) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) |
(/.f64 (*.f64 -1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (neg.f64 beta) (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) beta)) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) 1) (*.f64 (+.f64 beta alpha) beta)) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 beta))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) -1) (*.f64 (+.f64 beta alpha) (neg.f64 beta))) |
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (/.f64 (-.f64 beta alpha) 1) beta) |
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 beta)) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 beta)) (+.f64 beta alpha)) |
(/.f64 (*.f64 (/.f64 1 beta) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
(/.f64 (*.f64 (/.f64 1 beta) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha)) |
(/.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 beta)) |
(pow.f64 (-.f64 1 (/.f64 alpha beta)) 1) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) 1/2) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 3) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 1/3) |
(pow.f64 (/.f64 beta (-.f64 beta alpha)) -1) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha beta))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(expm1.f64 (*.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 alpha beta))) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta)))) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) 1/3)) |
(fma.f64 1 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) -1) |
(fma.f64 beta (/.f64 1 beta) (*.f64 (neg.f64 alpha) (/.f64 1 beta))) |
(fma.f64 (/.f64 1 beta) beta (*.f64 (/.f64 1 beta) (neg.f64 alpha))) |
(fma.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) -1) |
(fma.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))) -1) |
(fma.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) -1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) 1) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1))) |
(*.f64 1 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) |
(*.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))))) |
(*.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (/.f64 1 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)))) |
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (/.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1) (+.f64 (-.f64 1 (/.f64 alpha beta)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)) (neg.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1))) |
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) |
(pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) -1) |
(pow.f64 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)) -1) |
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (*.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 3)) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 2)) |
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 1) |
(fma.f64 (/.f64 1 beta) (-.f64 beta alpha) 1) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1) |
(fma.f64 (-.f64 1 (/.f64 alpha beta)) 1 1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)) 1) |
(fma.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) 1) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (-.f64 beta alpha)) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)) 1) |
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) 1) |
(fma.f64 (pow.f64 beta -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) 1) |
(fma.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (-.f64 beta alpha)) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) beta) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) beta) 1) |
(fma.f64 (pow.f64 (cbrt.f64 beta) -2) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 beta)) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 beta)) 1) |
(fma.f64 (*.f64 (/.f64 1 beta) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 (*.f64 (/.f64 1 beta) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)) 1) |
(fma.f64 (*.f64 (-.f64 beta alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2) 1) |
| Outputs |
|---|
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(+.f64 1 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 1 (/.f64 alpha beta)) |
(/.f64 (-.f64 beta alpha) beta) |
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 1 (*.f64 (neg.f64 alpha) (/.f64 1 beta))) |
(-.f64 1 (/.f64 alpha beta)) |
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(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 -1 (-.f64 1 (/.f64 alpha beta)))) (/.f64 1 (+.f64 -1 (-.f64 1 (/.f64 alpha beta))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (/.f64 (neg.f64 alpha) beta)) (/.f64 -1 (/.f64 (neg.f64 alpha) beta))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) (/.f64 alpha beta)) |
(pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 2) 1/2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 3) 1/3) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 3) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))) 2) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (-.f64 1 (-.f64 1 (/.f64 alpha beta)))) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) -1) |
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))))) |
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (/.f64 alpha beta) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (+.f64 (/.f64 alpha beta) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2))) |
(pow.f64 (/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) -1)) -1) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 -1 (-.f64 1 (/.f64 alpha beta)))) (/.f64 1 (+.f64 -1 (-.f64 1 (/.f64 alpha beta))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (/.f64 (neg.f64 alpha) beta)) (/.f64 -1 (/.f64 (neg.f64 alpha) beta))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) (/.f64 alpha beta)) |
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 2)) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(log.f64 (exp.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta)))))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))) 3)) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 1 (/.f64 alpha beta))))) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta))) |
(exp.f64 (*.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))) 1)) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 1/3)) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta))) |
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 3)) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta))) |
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) 2)) |
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta))) |
(fma.f64 1 (-.f64 1 (/.f64 alpha beta)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (/.f64 1 beta) (-.f64 beta alpha) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (-.f64 1 (/.f64 alpha beta)) 1 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (-.f64 beta alpha)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (-.f64 beta alpha) (/.f64 1 (cbrt.f64 beta))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 beta)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (pow.f64 beta -1/2) (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) (pow.f64 beta -1/2) 1) |
(fma.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (-.f64 beta alpha)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) beta) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) beta) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (pow.f64 (cbrt.f64 beta) -2) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha beta))) 1) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 beta)) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 beta)) 1) |
(fma.f64 (*.f64 (/.f64 1 beta) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (*.f64 (/.f64 1 beta) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(fma.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (-.f64 beta alpha) (/.f64 1 (cbrt.f64 beta))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) 1) |
(fma.f64 (*.f64 (-.f64 beta alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2) 1) |
(fma.f64 -1 (/.f64 alpha beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| ✓ | 0.0b | (/.f64 (+.f64 2 beta) alpha) |
| ✓ | 0.0b | (-.f64 (-.f64 -2 beta) beta) |
| ✓ | 4.4b | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
Compiled 86 to 48 computations (44.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | alpha | @ | 0 | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | beta | @ | 0 | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | beta | @ | -inf | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | beta | @ | inf | (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1× | batch-egg-rewrite |
| 776× | fma-def_binary64 |
| 476× | fma-neg_binary64 |
| 294× | expm1-udef_binary64 |
| 294× | log1p-udef_binary64 |
| 180× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 53 |
| 1 | 344 | 51 |
| 2 | 5495 | 51 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.f64 (-.f64 -2 beta) beta) |
(/.f64 (+.f64 2 beta) alpha) |
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 beta 2 2) alpha) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) 1) (/.f64 (fma.f64 beta 2 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) 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(*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) 3) (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3)) (fma.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2) (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))) (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2)) (-.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))) (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) 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| 1× | egg-herbie |
| 347× | log-prod_binary64 |
| 315× | fma-neg_binary64 |
| 306× | div-sub_binary64 |
| 259× | exp-prod_binary64 |
| 247× | cube-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 5033 |
| 1 | 1396 | 4452 |
| 2 | 4720 | 4431 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(/.f64 2 alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 (+.f64 beta 2) alpha) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(+.f64 (/.f64 (fma.f64 beta 2 2) alpha) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha)) |
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) 1) (/.f64 (fma.f64 beta 2 2) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) 1) |
(*.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 1) |
(*.f64 1 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) (sqrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) 3) (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3)) (fma.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2) (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))) (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2)) (-.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 2) alpha))) |
(pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 1) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))) (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 beta 2)) (*.f64 alpha alpha))) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 beta 2 2) alpha))) 1)) |
(+.f64 -2 (*.f64 -2 beta)) |
(+.f64 -2 (neg.f64 (+.f64 beta beta))) |
(+.f64 -2 (*.f64 -1 (+.f64 beta beta))) |
(+.f64 -2 (*.f64 (neg.f64 (+.f64 beta beta)) (+.f64 beta beta))) |
(+.f64 -2 (-.f64 (neg.f64 beta) beta)) |
(+.f64 (-.f64 -2 beta) (neg.f64 beta)) |
(+.f64 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(+.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 -1 beta beta)) |
(+.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(+.f64 (neg.f64 (+.f64 beta beta)) -2) |
(*.f64 (+.f64 -2 (*.f64 -2 beta)) 1) |
(*.f64 1 (+.f64 -2 (*.f64 -2 beta))) |
(*.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2)))) |
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(*.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -1/2) |
(*.f64 -1 (fma.f64 beta 2 2)) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2))) |
(/.f64 1 (/.f64 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)))) |
(/.f64 1 (/.f64 -2 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -2) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (neg.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta)))) 2) |
(/.f64 (neg.f64 (fma.f64 beta 2 8)) (-.f64 (fma.f64 beta 2 4) (+.f64 beta beta))) |
(/.f64 (neg.f64 (fma.f64 beta 2 -4)) (fma.f64 beta 2 -2)) |
(/.f64 (-.f64 -8 (+.f64 beta beta)) (+.f64 4 (fma.f64 beta 2 (*.f64 -2 (+.f64 beta beta))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 (neg.f64 beta) (neg.f64 beta) (neg.f64 (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(pow.f64 (+.f64 -2 (*.f64 -2 beta)) 1) |
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 3) |
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) |
(neg.f64 (fma.f64 beta 2 2)) |
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 2)) |
(log.f64 (exp.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (*.f64 -2 beta))))) |
(log.f64 (/.f64 1 (exp.f64 (fma.f64 beta 2 2)))) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 beta 2 2))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 beta))) |
(log.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (exp.f64 beta))) |
(log.f64 (/.f64 (exp.f64 (-.f64 -2 beta)) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (+.f64 1 (expm1.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 (neg.f64 beta)))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (exp.f64 (neg.f64 beta)))) |
(log.f64 (*.f64 (exp.f64 (-.f64 -2 beta)) (/.f64 1 (exp.f64 beta)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (/.f64 1 (exp.f64 beta)))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (/.f64 1 (exp.f64 beta)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (/.f64 1 (exp.f64 (+.f64 beta 2))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (/.f64 1 (exp.f64 (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(exp.f64 (log.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (*.f64 -2 beta))) 1)) |
(fma.f64 (-.f64 -2 beta) 1 (neg.f64 beta)) |
(fma.f64 (-.f64 -2 beta) 1 (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 -1 beta beta)) |
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta)) |
(fma.f64 1 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 1 (neg.f64 beta) (-.f64 -2 beta)) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 -1 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (cbrt.f64 (+.f64 beta 2))) (neg.f64 beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (cbrt.f64 (+.f64 beta 2))) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (neg.f64 (cbrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (neg.f64 beta)) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(fma.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (neg.f64 (sqrt.f64 (+.f64 beta 2))) (neg.f64 beta)) |
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (neg.f64 (sqrt.f64 (+.f64 beta 2))) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (sqrt.f64 beta) (neg.f64 (sqrt.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (neg.f64 beta)) |
(fma.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 (fma.f64 beta (+.f64 -2 beta) 4)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -1/2 (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -1/2 (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -1/2 (fma.f64 -1 beta beta)) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 (+.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (cbrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (neg.f64 beta)) (-.f64 -2 beta)) |
(fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -1 beta (-.f64 -2 beta)) |
(fma.f64 -1 (+.f64 beta 2) (neg.f64 beta)) |
(fma.f64 -1 (+.f64 beta 2) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -1 (fma.f64 beta 2 2) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 -1 (fma.f64 beta 2 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 -1 (fma.f64 beta 2 2) (fma.f64 -1 beta beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (fma.f64 -1 beta beta)) |
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta beta))) (cbrt.f64 beta) (-.f64 -2 beta)) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (neg.f64 beta)) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (sqrt.f64 (fma.f64 beta 2 2)) (fma.f64 -1 beta beta)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta 2)) (neg.f64 beta)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta 2)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2))) (cbrt.f64 (fma.f64 beta 2 2)) (fma.f64 -1 beta beta)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) 1) |
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (+.f64 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (/.f64 1 alpha) (+.f64 beta 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 beta 2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) |
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) 1) |
(-.f64 (/.f64 -2 alpha) (/.f64 (+.f64 beta beta) alpha)) |
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1) |
(*.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(*.f64 (neg.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (+.f64 -2 (*.f64 -2 beta))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 alpha))) |
(pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2) |
(pow.f64 (/.f64 alpha (+.f64 -2 (*.f64 -2 beta))) -1) |
(neg.f64 (/.f64 (fma.f64 beta 2 2) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))) |
(log.f64 (/.f64 1 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 1)) |
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) |
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) |
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 alpha) alpha)) (/.f64 2 alpha)) (fma.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
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(/.f64 1 (/.f64 -2 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))))) |
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(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta -2 (pow.f64 (-.f64 -2 beta) 2))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta -2 (pow.f64 (+.f64 2 beta) 2))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (fma.f64 beta 2 -2)) |
(neg.f64 (/.f64 (fma.f64 2 beta -4) (fma.f64 2 beta -2))) |
(/.f64 (fma.f64 beta -2 4) (fma.f64 2 beta -2)) |
(/.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta))) -2) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (neg.f64 (fma.f64 -2 beta (pow.f64 (-.f64 -2 beta) 2)))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (fma.f64 beta -2 (pow.f64 (-.f64 -2 beta) 2)))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (-.f64 (+.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(/.f64 (neg.f64 (*.f64 -2 (+.f64 -2 (*.f64 -2 beta)))) 2) |
(/.f64 (*.f64 2 (fma.f64 -2 beta -2)) 2) |
(/.f64 (+.f64 -4 (*.f64 beta -4)) 2) |
(/.f64 (fma.f64 2 beta 2) -1) |
(/.f64 (neg.f64 (fma.f64 beta 2 8)) (-.f64 (fma.f64 beta 2 4) (+.f64 beta beta))) |
(/.f64 (+.f64 (*.f64 beta -2) -8) (+.f64 (*.f64 beta -2) (fma.f64 2 beta 4))) |
(/.f64 (fma.f64 beta -2 -8) (-.f64 (+.f64 beta beta) (fma.f64 2 beta -4))) |
(/.f64 (neg.f64 (fma.f64 beta 2 -4)) (fma.f64 beta 2 -2)) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (fma.f64 beta 2 -2)) |
(neg.f64 (/.f64 (fma.f64 2 beta -4) (fma.f64 2 beta -2))) |
(/.f64 (fma.f64 beta -2 4) (fma.f64 2 beta -2)) |
(/.f64 (-.f64 -8 (+.f64 beta beta)) (+.f64 4 (fma.f64 beta 2 (*.f64 -2 (+.f64 beta beta))))) |
(/.f64 (+.f64 (*.f64 beta -2) -8) (+.f64 4 (*.f64 beta -2))) |
(/.f64 (fma.f64 beta -2 -8) (fma.f64 beta -2 4)) |
(/.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 (neg.f64 beta) 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 (neg.f64 beta) (neg.f64 beta) (neg.f64 (*.f64 (-.f64 -2 beta) (neg.f64 beta)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (+.f64 (*.f64 beta beta) (*.f64 (-.f64 -2 beta) (neg.f64 (neg.f64 beta)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta beta (*.f64 beta (-.f64 -2 beta))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 (neg.f64 beta) (neg.f64 beta))) (-.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (-.f64 -2 (+.f64 beta (neg.f64 beta)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (+.f64 -2 (-.f64 beta beta))) |
(/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (+.f64 beta (-.f64 -2 beta))) |
(pow.f64 (+.f64 -2 (*.f64 -2 beta)) 1) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) 1/3) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 3) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(neg.f64 (fma.f64 beta 2 2)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 2)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (exp.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (*.f64 -2 beta))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 1 (exp.f64 (fma.f64 beta 2 2)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 beta 2 2))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 beta))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (exp.f64 beta))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 (exp.f64 (-.f64 -2 beta)) (+.f64 1 (expm1.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (+.f64 1 (expm1.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (/.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (+.f64 1 (expm1.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (exp.f64 (neg.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (exp.f64 (neg.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (exp.f64 (-.f64 -2 beta)) (/.f64 1 (exp.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 beta))) (/.f64 1 (exp.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 beta 2))) (/.f64 1 (exp.f64 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (exp.f64 (-.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (+.f64 1 (expm1.f64 (-.f64 -2 beta))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (exp.f64 (neg.f64 beta)) (/.f64 1 (exp.f64 (+.f64 beta 2))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 beta)) (/.f64 1 (exp.f64 (+.f64 beta 2))))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(exp.f64 (log.f64 (+.f64 -2 (*.f64 -2 beta)))) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (*.f64 -2 beta))) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (-.f64 -2 beta) 1 (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (-.f64 -2 beta) 1 (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 beta -2 -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (-.f64 (fma.f64 beta -2 -2) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) beta) |
(fma.f64 (+.f64 -2 (*.f64 -2 beta)) 1 (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 1 (-.f64 -2 beta) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 beta -2 -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (-.f64 (fma.f64 beta -2 -2) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) beta) |
(fma.f64 1 (+.f64 -2 (*.f64 -2 beta)) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 1 (neg.f64 beta) (-.f64 -2 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 beta -2 -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (-.f64 (fma.f64 beta -2 -2) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) beta) |
(fma.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 beta -2 -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (-.f64 (fma.f64 beta -2 -2) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) beta) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2 beta 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 beta 2))) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2 beta 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2 beta 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 beta 2))) (-.f64 beta (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta)))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 beta 2 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 beta 2 2))) (fma.f64 -1 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2 beta 2) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 beta 2))) (-.f64 beta beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (cbrt.f64 (+.f64 beta 2))) (neg.f64 beta)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta))) (neg.f64 beta)) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta)))) beta) |
(-.f64 (neg.f64 beta) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (cbrt.f64 (+.f64 2 beta)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (cbrt.f64 (+.f64 beta 2))) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta))) (neg.f64 beta)) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (neg.f64 (cbrt.f64 (+.f64 2 beta)))) beta) |
(-.f64 (neg.f64 beta) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 2)) (cbrt.f64 (+.f64 2 beta)))) |
(fma.f64 (cbrt.f64 (*.f64 beta beta)) (neg.f64 (cbrt.f64 beta)) (-.f64 -2 beta)) |
(-.f64 (-.f64 -2 beta) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (*.f64 (neg.f64 beta) 1)) |
(fma.f64 -2 beta -2) |
(fma.f64 beta -2 -2) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (fma.f64 beta -2 -2) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
(+.f64 (-.f64 (fma.f64 beta -2 -2) (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta))) beta) |
(fma.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (fma.f64 -1 beta beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 beta) 1 beta)) |
(+.f64 (fma.f64 -2 beta -2) (fma.f64 -1 beta beta)) |
(+.f64 -2 (fma.f64 beta -2 (-.f64 beta beta))) |
(+.f64 (fma.f64 beta -2 -2) (-.f64 beta beta)) |
(fma.f64 (sqrt.f64 (fma.f64 beta 2 2)) (neg.f64 (sqrt.f64 (fma.f64 beta 2 2))) (fma.f64 (neg.f64 (cbrt.f64 beta)) (cbrt.f64 (*.f64 beta beta)) beta)) |
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(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3) 1/3) |
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 2) alpha)) 3) |
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 2) alpha)) 2) |
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(/.f64 (+.f64 2 beta) alpha) |
(pow.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(neg.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha))) |
(*.f64 (-.f64 -2 beta) (/.f64 1 (neg.f64 alpha))) |
(/.f64 (-.f64 -2 beta) (neg.f64 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(+.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(/.f64 (+.f64 2 beta) alpha) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) 1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (/.f64 -2 alpha) (/.f64 (+.f64 beta beta) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 1 alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (*.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (neg.f64 (+.f64 -2 (*.f64 -2 beta))) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 (fma.f64 -2 beta -2))) |
(/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) |
(*.f64 (/.f64 1 alpha) (+.f64 -2 (*.f64 -2 beta))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (cbrt.f64 alpha))) |
(/.f64 (*.f64 1 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha))) (cbrt.f64 (*.f64 alpha alpha))) |
(/.f64 (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)) (cbrt.f64 (*.f64 alpha alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (cbrt.f64 (*.f64 alpha alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (cbrt.f64 (*.f64 alpha alpha)))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (+.f64 -2 (*.f64 -2 beta))) (cbrt.f64 alpha))) |
(/.f64 (*.f64 1 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha))) (cbrt.f64 (*.f64 alpha alpha))) |
(/.f64 (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)) (cbrt.f64 (*.f64 alpha alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 -2 (*.f64 -2 beta))) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3) 1/3) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 3) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 2) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (/.f64 alpha (+.f64 -2 (*.f64 -2 beta))) -1) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(neg.f64 (/.f64 (fma.f64 beta 2 2) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 2)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log.f64 (/.f64 1 (exp.f64 (/.f64 (fma.f64 beta 2 2) alpha)))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 2 2) alpha))))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha) 3)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -2 (*.f64 -2 beta)) 3) (pow.f64 alpha 3))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha)) 1)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (-.f64 -2 beta) (/.f64 1 alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 1 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha))) (/.f64 beta alpha)) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) (/.f64 beta alpha)) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (neg.f64 beta) alpha)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha))) (/.f64 beta alpha)) |
Compiled 19791 to 12906 computations (34.8% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 6 | 737 |
| Fresh | 2 | 11 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 735 | 25 | 760 |
| Status | Error | Program |
|---|---|---|
| 44.9b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| ✓ | 17.3b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
| ▶ | 24.2b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) |
| ▶ | 45.7b | (/.f64 (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
| 24.3b | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) 2) | |
| ✓ | 44.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 47.8b | (/.f64 (/.f64 2 alpha) 2) |
| 49.0b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| 47.3b | (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) | |
| ▶ | 44.0b | (/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
| 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| 32.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 26.9b | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) | |
| 25.0b | (/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) | |
| ✓ | 18.1b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 45.9b | (/.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 35.4b | (/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) | |
| ▶ | 44.4b | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
| ✓ | 34.5b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 57.9b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) | |
| 57.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 41.1b | (/.f64 2 2) |
| ✓ | 32.1b | (/.f64 1 2) |
Compiled 775 to 569 computations (26.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (+.f64 alpha beta) 2) | |
| ✓ | 17.2b | (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| ✓ | 19.3b | (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
Compiled 82 to 43 computations (47.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 3.0ms | alpha | @ | -inf | (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| 2.0ms | beta | @ | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| 1.0ms | alpha | @ | inf | (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
| 1× | batch-egg-rewrite |
| 972× | prod-diff_binary64 |
| 542× | fma-def_binary64 |
| 321× | fma-neg_binary64 |
| 275× | log1p-udef_binary64 |
| 274× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 45 |
| 1 | 325 | 26 |
| 2 | 4515 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) |
(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 2) (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))) (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (neg.f64 (+.f64 alpha beta))) (/.f64 1 (+.f64 4 (neg.f64 (pow.f64 (+.f64 alpha beta) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 (+.f64 alpha (+.f64 beta -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 (+.f64 alpha (+.f64 beta -2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 -64 (pow.f64 (+.f64 alpha beta) 6))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 4) 16) (*.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 4) -16)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (-.f64 beta -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 4 (neg.f64 (pow.f64 (+.f64 alpha beta) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (-.f64 beta -2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1)))))) |
| 1× | egg-herbie |
| 417× | sub-neg_binary64 |
| 384× | fma-def_binary64 |
| 360× | unsub-neg_binary64 |
| 346× | +-commutative_binary64 |
| 318× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 509 | 6290 |
| 1 | 1652 | 5509 |
| 2 | 6442 | 5467 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 2)) (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) beta) (-.f64 (pow.f64 beta 2) 4))) (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 2)) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))))))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))))))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))) (pow.f64 alpha 4))) (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 (-.f64 alpha 2) (-.f64 (pow.f64 alpha 2) 4)) |
(-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))) |
(-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))))))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4))))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4)))))) (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))) |
(/.f64 1 beta) |
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)))) alpha)) (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4))) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))))) |
(/.f64 1 beta) |
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) 4) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) 4) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)) (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4))) alpha))) (pow.f64 beta 4))))))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2))) (+.f64 (/.f64 alpha (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha) (-.f64 (pow.f64 alpha 2) 4))))) alpha)) (/.f64 1 (-.f64 (pow.f64 alpha 2) 4))) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (-.f64 (pow.f64 alpha 2) 4))) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (-.f64 (pow.f64 alpha 2) 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (/.f64 (*.f64 (-.f64 alpha 2) alpha) (pow.f64 (-.f64 (pow.f64 alpha 2) 4) 2)))) alpha))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 alpha 2) 4)))))))) |
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2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)))) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (*.f64 (-.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)))) alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 alpha (+.f64 2 (*.f64 2 alpha)))) alpha) beta))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 alpha (+.f64 2 (*.f64 2 alpha)))) alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) 4) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 alpha (+.f64 2 (*.f64 2 alpha)))) alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)) (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4))) alpha) (+.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (-.f64 (pow.f64 alpha 2) 4)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha)) (*.f64 -1 (-.f64 (pow.f64 alpha 2) 4))) alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 alpha 2) 4) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) (pow.f64 beta 2)))))))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) alpha) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) beta) (*.f64 -1 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) beta) (-.f64 (pow.f64 beta 2) 4))) (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) beta) (*.f64 -1 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))))) (pow.f64 alpha 2)))))) |
(/.f64 (+.f64 beta (*.f64 -1 (-.f64 beta (+.f64 2 (*.f64 2 beta))))) alpha) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 beta (+.f64 2 (*.f64 2 beta))) alpha))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 beta (+.f64 2 (*.f64 2 beta))) alpha)))))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (-.f64 beta (+.f64 2 (*.f64 2 beta))) alpha))))))))))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha)))) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 -1 (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha))))) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 -1 (+.f64 (*.f64 2 (*.f64 beta (+.f64 (*.f64 -1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 -2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta (*.f64 -1 beta)) (+.f64 2 (*.f64 2 beta))) alpha))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) 1) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 1) |
(*.f64 1 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 2) (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))) (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 2 (neg.f64 (+.f64 alpha beta))) (/.f64 1 (+.f64 4 (neg.f64 (pow.f64 (+.f64 alpha beta) 2))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 (+.f64 alpha (+.f64 beta -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 (+.f64 alpha (+.f64 beta -2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta -2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 -64 (pow.f64 (+.f64 alpha beta) 6))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 4) 16) (*.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 4) -16)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4)) |
(pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (-.f64 beta -2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))) 2) |
(pow.f64 (+.f64 alpha (-.f64 beta -2)) -1) |
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 4 (neg.f64 (pow.f64 (+.f64 alpha beta) 2))))) |
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta -2)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (-.f64 beta -2))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (-.f64 beta -2))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (-.f64 beta -2)))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1)) |
| Outputs |
|---|
(/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)) |
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4))) |
(fma.f64 (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2)))) alpha (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 2)) (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha (fma.f64 (-.f64 (/.f64 2 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))))) (/.f64 beta (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (*.f64 alpha alpha) (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) (/.f64 2 (+.f64 (*.f64 beta beta) -4))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2)))) alpha (*.f64 (-.f64 (/.f64 2 (pow.f64 (fma.f64 beta beta -4) 2)) (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2))))) (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)))) (*.f64 alpha alpha))) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) beta) (-.f64 (pow.f64 beta 2) 4))) (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))))) (-.f64 (pow.f64 beta 2) 4))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (pow.f64 alpha 2)) (/.f64 beta (-.f64 (pow.f64 beta 2) 4))))) (*.f64 2 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha (fma.f64 (-.f64 (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 3)) (fma.f64 2 (/.f64 (-.f64 (/.f64 2 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))))) (/.f64 beta (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (/.f64 (+.f64 (*.f64 beta beta) -4) beta)) (/.f64 1 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (pow.f64 alpha 3) (fma.f64 (-.f64 (/.f64 2 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 2 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))))) (/.f64 beta (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (*.f64 alpha alpha) (/.f64 beta (+.f64 (*.f64 beta beta) -4))))) (/.f64 2 (+.f64 (*.f64 beta beta) -4))) |
(fma.f64 (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2)))) alpha (+.f64 (fma.f64 (-.f64 (*.f64 2 (-.f64 (/.f64 beta (/.f64 (pow.f64 (fma.f64 beta beta -4) 3) (+.f64 beta -2))) (/.f64 (-.f64 (/.f64 2 (pow.f64 (fma.f64 beta beta -4) 2)) (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2))))) (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)))) (/.f64 (fma.f64 beta beta -4) beta)))) (/.f64 1 (pow.f64 (fma.f64 beta beta -4) 2))) (pow.f64 alpha 3) (*.f64 (-.f64 (/.f64 2 (pow.f64 (fma.f64 beta beta -4) 2)) (fma.f64 2 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 (/.f64 1 (fma.f64 beta beta -4)) (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 (fma.f64 beta beta -4) 2) (+.f64 beta -2))))) (/.f64 beta (pow.f64 (fma.f64 beta beta -4) 2)))) (*.f64 alpha alpha))) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))))))) |
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (+.f64 (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta -2) (*.f64 beta 2))))))))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)))) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (-.f64 beta (fma.f64 beta 2 2)) (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 beta (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta))))))))) (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 beta (+.f64 2 (*.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))))))) |
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 beta (-.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 2 (*.f64 beta (-.f64 (+.f64 beta -2) (*.f64 beta 2)))))) (*.f64 (+.f64 (*.f64 beta beta) -4) (-.f64 (+.f64 beta -2) (*.f64 beta 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (+.f64 (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta -2) (*.f64 beta 2))))))))) |
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3))) (/.f64 (fma.f64 (fma.f64 beta beta -4) (-.f64 beta (fma.f64 beta 2 2)) (*.f64 (*.f64 beta 2) (-.f64 4 (fma.f64 (*.f64 beta 2) (-.f64 beta (fma.f64 beta 2 2)) (*.f64 beta beta))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (-.f64 beta (fma.f64 beta 2 2)) (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 (fma.f64 beta beta -4) (-.f64 beta (fma.f64 beta 2 2)) (*.f64 (*.f64 beta 2) (-.f64 4 (fma.f64 (*.f64 beta 2) (-.f64 beta (fma.f64 beta 2 2)) (*.f64 beta beta))))) (pow.f64 alpha 4)))) (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (-.f64 beta (fma.f64 beta 2 2)) (/.f64 (pow.f64 alpha 3) beta)) (/.f64 2 (*.f64 alpha alpha))))))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 beta 2) 4) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (-.f64 beta (+.f64 2 (*.f64 2 beta)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (*.f64 beta beta) -4) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 beta (/.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta -2) (*.f64 beta 2)))) (/.f64 1 alpha)))) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha)))) |
(-.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 (/.f64 (-.f64 beta (fma.f64 beta 2 2)) (/.f64 (pow.f64 alpha 3) beta)) -2 (/.f64 1 alpha))) (/.f64 (fma.f64 beta beta -4) (pow.f64 alpha 3))) (fma.f64 2 (/.f64 beta (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha)))) |
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(/.f64 (+.f64 alpha -2) (fma.f64 alpha alpha -4)) |
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(/.f64 1 beta) |
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(/.f64 1 beta) |
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(-.f64 1 (*.f64 (/.f64 (+.f64 alpha -2) (fma.f64 alpha alpha -4)) alpha)) |
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(fma.f64 (pow.f64 beta 3) (fma.f64 (neg.f64 (-.f64 (/.f64 (*.f64 2 (*.f64 alpha (+.f64 alpha -2))) (pow.f64 (fma.f64 alpha alpha -4) 3)) (fma.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 2 (pow.f64 (fma.f64 alpha alpha -4) 2)) (fma.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 alpha alpha -4) 2)) (/.f64 (*.f64 2 (*.f64 alpha (+.f64 alpha -2))) (pow.f64 (fma.f64 alpha alpha -4) 3))) alpha) (/.f64 alpha (pow.f64 (fma.f64 alpha alpha -4) 2)))) (fma.f64 alpha alpha -4)) alpha) (/.f64 1 (pow.f64 (fma.f64 alpha alpha -4) 2))))) alpha (-.f64 (/.f64 2 (pow.f64 (fma.f64 alpha alpha -4) 2)) (fma.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 alpha alpha -4) 2)) (/.f64 (*.f64 2 (*.f64 alpha (+.f64 alpha -2))) (pow.f64 (fma.f64 alpha alpha -4) 3))) alpha) (/.f64 alpha (pow.f64 (fma.f64 alpha alpha -4) 2))))) (+.f64 (fma.f64 beta (+.f64 (*.f64 (+.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) alpha))) (neg.f64 alpha)) (/.f64 (+.f64 alpha -2) (fma.f64 alpha alpha -4))) (/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha -2))) (fma.f64 alpha alpha -4))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (fma.f64 (-.f64 (/.f64 2 (pow.f64 (fma.f64 alpha alpha -4) 2)) (fma.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 alpha alpha -4) 2)) (/.f64 (*.f64 2 (*.f64 alpha (+.f64 alpha -2))) (pow.f64 (fma.f64 alpha alpha -4) 3))) alpha) (/.f64 alpha (pow.f64 (fma.f64 alpha alpha -4) 2)))) (neg.f64 alpha) (*.f64 -2 (*.f64 (/.f64 (+.f64 alpha -2) (pow.f64 (fma.f64 alpha alpha -4) 2)) alpha)))) 1))) |
2 |
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 alpha beta) 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 2 (*.f64 0 (/.f64 alpha beta))) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))) |
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(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (-.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha (-.f64 alpha (+.f64 2 (*.f64 2 alpha)))))) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 alpha (-.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha (-.f64 alpha (+.f64 2 (*.f64 2 alpha))))))) (*.f64 (+.f64 (*.f64 alpha alpha) -4) (-.f64 alpha (+.f64 2 (*.f64 2 alpha))))) (pow.f64 beta 3)) (/.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (/.f64 (*.f64 beta beta) alpha)))))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 2 (/.f64 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) (/.f64 (*.f64 beta beta) alpha)) (/.f64 2 beta)))))) |
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(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (-.f64 4 (*.f64 alpha (+.f64 alpha (*.f64 2 (-.f64 alpha (fma.f64 2 alpha 2)))))) (pow.f64 beta 3)) alpha)) (+.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (-.f64 alpha (fma.f64 2 alpha 2)))) (/.f64 (fma.f64 (*.f64 2 (-.f64 4 (*.f64 alpha (+.f64 alpha (*.f64 2 (-.f64 alpha (fma.f64 2 alpha 2))))))) alpha (*.f64 (fma.f64 alpha alpha -4) (-.f64 alpha (fma.f64 2 alpha 2)))) (pow.f64 beta 3)))) (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 alpha beta))) (-.f64 2 (+.f64 (fma.f64 2 (/.f64 alpha (/.f64 (*.f64 beta beta) (-.f64 alpha (fma.f64 2 alpha 2)))) (/.f64 2 beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 alpha (+.f64 2 (*.f64 2 alpha)))) alpha) beta))) |
(+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 alpha (+.f64 2 (*.f64 2 alpha))) alpha) beta))) |
(-.f64 2 (/.f64 (-.f64 alpha (-.f64 alpha (fma.f64 2 alpha 2))) beta)) |
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(/.f64 (-.f64 beta (-.f64 beta (fma.f64 beta 2 2))) alpha) |
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(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))) 1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))) -1) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3) 1/3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) 2) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 3)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 beta -2)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha -2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
Compiled 12 to 9 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 2 (/.f64 alpha beta)) |
Compiled 20 to 10 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | (-.f64 2 (/.f64 alpha beta)) |
| 0.0ms | beta | @ | -inf | (-.f64 2 (/.f64 alpha beta)) |
| 0.0ms | beta | @ | inf | (-.f64 2 (/.f64 alpha beta)) |
| 0.0ms | alpha | @ | -inf | (-.f64 2 (/.f64 alpha beta)) |
| 0.0ms | alpha | @ | inf | (-.f64 2 (/.f64 alpha beta)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 729× | add-log-exp_binary64 |
| 728× | log1p-expm1-u_binary64 |
| 728× | expm1-log1p-u_binary64 |
| 716× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 137 | 7 |
| 2 | 1869 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 2 (/.f64 alpha beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 (neg.f64 alpha) beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 alpha beta)) (-.f64 4 (pow.f64 (/.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2))) (neg.f64 (+.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 alpha) beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta)) (*.f64 2 (/.f64 (neg.f64 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta))) (-.f64 2 (/.f64 (neg.f64 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 alpha beta)))))))) |
| 1× | egg-herbie |
| 566× | fma-def_binary64 |
| 523× | distribute-rgt-in_binary64 |
| 486× | div-sub_binary64 |
| 336× | associate-*l*_binary64 |
| 318× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 538 |
| 1 | 206 | 498 |
| 2 | 774 | 498 |
| 3 | 3925 | 498 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(+.f64 2 (/.f64 (neg.f64 alpha) beta)) |
(+.f64 2 (*.f64 (/.f64 (neg.f64 alpha) beta) 1)) |
(+.f64 (/.f64 (neg.f64 alpha) beta) 2) |
(*.f64 (-.f64 2 (/.f64 alpha beta)) 1) |
(*.f64 1 (-.f64 2 (/.f64 alpha beta))) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 alpha beta)))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta)))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 alpha beta)) (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta))))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))))) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2))) (neg.f64 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 alpha) beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta)) (*.f64 2 (/.f64 (neg.f64 alpha) beta))))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta))) (-.f64 2 (/.f64 (neg.f64 alpha) beta))) |
(pow.f64 (-.f64 2 (/.f64 alpha beta)) 1) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 3) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 alpha beta)))) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta)))) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 alpha beta)))) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 alpha beta)))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(neg.f64 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(neg.f64 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(neg.f64 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 -1 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (/.f64 (neg.f64 alpha) beta)) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 2 (*.f64 (/.f64 (neg.f64 alpha) beta) 1)) |
(-.f64 2 (/.f64 alpha beta)) |
(+.f64 (/.f64 (neg.f64 alpha) beta) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 (-.f64 2 (/.f64 alpha beta)) 1) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 1 (-.f64 2 (/.f64 alpha beta))) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (fma.f64 (/.f64 alpha beta) (-.f64 -2 (/.f64 alpha beta)) -4)) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (fma.f64 (/.f64 alpha beta) (-.f64 -2 (/.f64 alpha beta)) -4)) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 alpha beta)) (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta))))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (fma.f64 (/.f64 alpha beta) (-.f64 -2 (/.f64 alpha beta)) -4)) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (fma.f64 (/.f64 alpha beta) (-.f64 -2 (/.f64 alpha beta)) -4)) |
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2))) (neg.f64 (+.f64 2 (/.f64 alpha beta)))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 (neg.f64 alpha) beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta)) (*.f64 2 (/.f64 (neg.f64 alpha) beta))))) |
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)))) (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 alpha beta) 3)) (fma.f64 (/.f64 alpha beta) (+.f64 2 (/.f64 alpha beta)) 4)) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha beta) 3) -8) (fma.f64 (/.f64 alpha beta) (-.f64 -2 (/.f64 alpha beta)) -4)) |
(/.f64 (-.f64 4 (*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (neg.f64 alpha) beta))) (-.f64 2 (/.f64 (neg.f64 alpha) beta))) |
(*.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (+.f64 2 (/.f64 alpha beta)))) |
(/.f64 (-.f64 4 (pow.f64 (/.f64 alpha beta) 2)) (+.f64 2 (/.f64 alpha beta))) |
(pow.f64 (-.f64 2 (/.f64 alpha beta)) 1) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 3) |
(-.f64 2 (/.f64 alpha beta)) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) 2) |
(-.f64 2 (/.f64 alpha beta)) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2)) |
(-.f64 2 (/.f64 alpha beta)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 3)) |
(-.f64 2 (/.f64 alpha beta)) |
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 alpha beta)))) |
(-.f64 2 (/.f64 alpha beta)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (/.f64 beta alpha)) |
| ✓ | 0.0b | (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
Compiled 46 to 29 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | alpha | @ | 0 | (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
| 1.0ms | alpha | @ | -inf | (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
| 1.0ms | beta | @ | 0 | (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
| 1.0ms | alpha | @ | inf | (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
| 1× | batch-egg-rewrite |
| 533× | log-prod_binary64 |
| 390× | fma-def_binary64 |
| 338× | pow-prod-down_binary64 |
| 270× | pow2_binary64 |
| 205× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 220 | 18 |
| 2 | 3005 | 18 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
| Outputs |
|---|
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(/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 beta) (/.f64 1 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)) (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2) (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2))) (cbrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 beta 3) (*.f64 (pow.f64 alpha -3) 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 beta (/.f64 2 alpha)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 3) 1/3)))))) |
| 1× | egg-herbie |
| 745× | times-frac_binary64 |
| 520× | unswap-sqr_binary64 |
| 448× | distribute-rgt-in_binary64 |
| 293× | cancel-sign-sub-inv_binary64 |
| 194× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 1701 |
| 1 | 639 | 1583 |
| 2 | 1971 | 1547 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 (fma.f64 2 beta -2) alpha))) |
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) |
(*.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(*.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1) |
(*.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
(*.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
(*.f64 (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)) (/.f64 1 (fma.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 4 (*.f64 alpha alpha))) (/.f64 1 (/.f64 (fma.f64 2 beta -2) alpha))) |
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)))) |
(/.f64 1 (/.f64 (/.f64 (fma.f64 2 beta -2) alpha) (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 4 (*.f64 alpha alpha))))) |
(/.f64 (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)) (fma.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2))) |
(/.f64 (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)) (fma.f64 (pow.f64 alpha -2) 4 (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 2 alpha)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta -2) alpha)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3))) (neg.f64 (fma.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 4 (*.f64 alpha alpha)))) (neg.f64 (/.f64 (fma.f64 2 beta -2) alpha))) |
(/.f64 (fma.f64 (*.f64 2 beta) alpha (*.f64 alpha 2)) (*.f64 alpha alpha)) |
(/.f64 (fma.f64 2 alpha (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha)))) |
(pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 1) |
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 2) |
(pow.f64 (/.f64 (fma.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (fma.f64 (pow.f64 alpha -3) 8 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3))) -1) |
(pow.f64 (/.f64 (/.f64 (fma.f64 2 beta -2) alpha) (-.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) (/.f64 4 (*.f64 alpha alpha)))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 beta 1))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))) (exp.f64 (/.f64 2 alpha)))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (/.f64 2 alpha))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))) (+.f64 1 (expm1.f64 (/.f64 2 alpha))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) |
(log.f64 (*.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))))) |
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
(exp.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) 1) 1)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 1 alpha) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 beta (/.f64 2 alpha) (/.f64 2 alpha)) |
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha)) |
(fma.f64 (*.f64 beta (/.f64 2 alpha)) 1 (/.f64 2 alpha)) |
(fma.f64 1 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha)) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (/.f64 1 alpha) 2 (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (/.f64 2 alpha) 1 (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) (cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 2 alpha)) |
(fma.f64 (pow.f64 alpha -1/2) (*.f64 (pow.f64 alpha -1/2) 2) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (*.f64 (sqrt.f64 (/.f64 beta alpha)) 2) (/.f64 2 alpha)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 2 alpha)) |
(fma.f64 (*.f64 2 beta) (/.f64 1 alpha) (/.f64 2 alpha)) |
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)) (/.f64 2 alpha)) |
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (*.f64 2 (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2))) (cbrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 beta alpha)) |
(+.f64 0 (*.f64 beta (/.f64 2 alpha))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) 1) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(pow.f64 (*.f64 beta (/.f64 2 alpha)) 1) |
(pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) 1/2) |
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 3) |
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 2) |
(pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3) 1/3) |
(pow.f64 (/.f64 alpha (*.f64 2 beta)) -1) |
(pow.f64 (*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 2 alpha))) 3) |
(pow.f64 (*.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 2 alpha))) 2) |
(pow.f64 (*.f64 (pow.f64 beta 3) (*.f64 (pow.f64 alpha -3) 8)) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) |
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha))))) |
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) |
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))) |
(exp.f64 (log.f64 (*.f64 beta (/.f64 2 alpha)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha)))) 2)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 beta (/.f64 2 alpha)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 3) 1/3)) |
| Outputs |
|---|
(/.f64 2 alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
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(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 2 (/.f64 beta alpha))) |
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) beta)) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 2 (/.f64 beta alpha))) |
(fma.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) (cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) beta)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) beta) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) beta)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) beta) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 beta alpha) 2))) (/.f64 2 alpha)) |
(fma.f64 (pow.f64 alpha -1/2) (*.f64 (pow.f64 alpha -1/2) 2) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (sqrt.f64 (/.f64 beta alpha)) (*.f64 (sqrt.f64 (/.f64 beta alpha)) 2) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (*.f64 2 beta) (/.f64 1 alpha) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 2 (cbrt.f64 alpha)) (*.f64 (/.f64 2 alpha) beta)) |
(fma.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 2 (cbrt.f64 alpha)) (*.f64 2 (/.f64 beta alpha))) |
(fma.f64 (*.f64 2 (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2) (*.f64 beta (/.f64 2 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2))) (cbrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 2 (cbrt.f64 (/.f64 beta alpha))) (/.f64 2 alpha)) |
(fma.f64 (*.f64 2 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (/.f64 2 alpha) (+.f64 beta 1)) |
(+.f64 (/.f64 beta alpha) (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 0 (*.f64 beta (/.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) 1) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 beta (/.f64 2 alpha)) 1) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2) 1/2) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 3) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 2) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3) 1/3) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (/.f64 alpha (*.f64 2 beta)) -1) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 2 alpha))) 3) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 (sqrt.f64 beta) (sqrt.f64 (/.f64 2 alpha))) 2) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 (pow.f64 beta 3) (*.f64 (pow.f64 alpha -3) 8)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 beta 3) (*.f64 (pow.f64 alpha -3) 8))) |
(cbrt.f64 (*.f64 8 (*.f64 (pow.f64 alpha -3) (pow.f64 beta 3)))) |
(cbrt.f64 (*.f64 (pow.f64 alpha -3) (*.f64 8 (pow.f64 beta 3)))) |
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 2)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 2 alpha))))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 2 alpha)) 3)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 2 alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 2 alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (log.f64 (*.f64 beta (/.f64 2 alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha)))) 3)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha)))) 2)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 beta (/.f64 2 alpha)))) 1/3)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 1) 1)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 2 alpha))) 3) 1/3)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) | |
| 0.0b | (/.f64 (+.f64 2 beta) alpha) | |
| ✓ | 2.6b | (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
| ✓ | 4.2b | (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
Compiled 107 to 69 computations (35.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | alpha | @ | 0 | (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | alpha | @ | inf | (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 1.0ms | alpha | @ | -inf | (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
| 0.0ms | alpha | @ | 0 | (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
| 1× | batch-egg-rewrite |
| 804× | fma-def_binary64 |
| 607× | fma-neg_binary64 |
| 274× | expm1-udef_binary64 |
| 274× | log1p-udef_binary64 |
| 223× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 39 |
| 1 | 355 | 33 |
| 2 | 5378 | 33 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 -2 beta 2) alpha) (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (fma.f64 -2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) 1) (/.f64 (fma.f64 -2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))))) (#(struct:change 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((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 -2 beta 2) alpha)) (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -2 beta 2) alpha))) (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -2 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 -2 beta -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha)) (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha))) (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 beta -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -2 beta -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (*.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (*.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -2 beta -2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 -2 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) 1) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 beta -2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (fma.f64 -2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 alpha (fma.f64 -2 beta -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (/.f64 alpha (cbrt.f64 (fma.f64 -2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (/.f64 alpha (sqrt.f64 (fma.f64 -2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -2 beta -2)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 beta -8) (*.f64 alpha (fma.f64 4 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 -2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 alpha (fma.f64 -2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fma.f64 -2 beta -2))) (neg.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -2 beta -8) 1) (*.f64 (fma.f64 4 beta 4) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) 1) (*.f64 (fma.f64 -2 beta -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -2 beta -2) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -2 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -2 beta -8) (/.f64 1 alpha)) (fma.f64 4 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) (/.f64 1 alpha)) (fma.f64 -2 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 -2 beta -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 beta -2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 1)))))) |
| 1× | egg-herbie |
| 538× | unswap-sqr_binary64 |
| 346× | log-prod_binary64 |
| 336× | cancel-sign-sub-inv_binary64 |
| 300× | cube-prod_binary64 |
| 277× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2185 |
| 1 | 612 | 2152 |
| 2 | 3159 | 2144 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(+.f64 (/.f64 (fma.f64 -2 beta 2) alpha) (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (fma.f64 -2 beta 2) alpha)) |
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) 1) (/.f64 (fma.f64 -2 beta 2) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) 1) |
(*.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 1) |
(*.f64 1 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 2) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) 3) (pow.f64 (/.f64 (fma.f64 -2 beta 2) alpha) 3)) (fma.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (pow.f64 (/.f64 (fma.f64 -2 beta 2) alpha) 2) (*.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (fma.f64 -2 beta 2) alpha))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha)) (neg.f64 (pow.f64 (/.f64 (fma.f64 -2 beta 2) alpha) 2))) (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta -2) alpha))) |
(pow.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 1) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 2) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))))) |
(log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 -2 beta 2) alpha)) (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -2 beta 2) alpha))) (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha))) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -2 beta 2) alpha))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 -2 beta -2) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (fma.f64 -2 beta 2) alpha))) 1)) |
(+.f64 0 (/.f64 (fma.f64 -2 beta -2) alpha)) |
(+.f64 (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha)) (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha))) (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) 1) |
(*.f64 (fma.f64 -2 beta -2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 1) |
(*.f64 2 (*.f64 1/2 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 1 (/.f64 (fma.f64 -2 beta -2) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (*.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (*.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (/.f64 1 alpha))) |
(*.f64 (neg.f64 (fma.f64 -2 beta -2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 3 (*.f64 1/3 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 -2 beta -2)) |
(*.f64 1/3 (*.f64 3 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) 1) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (sqrt.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 1 (/.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 1 (/.f64 (/.f64 alpha (fma.f64 -2 beta -2)) 1)) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (/.f64 alpha (cbrt.f64 (fma.f64 -2 beta -2)))) |
(/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (/.f64 alpha (sqrt.f64 (fma.f64 -2 beta -2)))) |
(/.f64 (neg.f64 (fma.f64 -2 beta -2)) (neg.f64 alpha)) |
(/.f64 (fma.f64 -2 beta -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 -1 (neg.f64 (/.f64 alpha (fma.f64 -2 beta -2)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 -2 beta -2))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 -2 beta -8) 1) (*.f64 (fma.f64 4 beta 4) alpha)) |
(/.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) 1) (*.f64 (fma.f64 -2 beta -2) alpha)) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) 1) alpha) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (*.f64 (fma.f64 -2 beta -8) (/.f64 1 alpha)) (fma.f64 4 beta 4)) |
(/.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) (/.f64 1 alpha)) (fma.f64 -2 beta -2)) |
(pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2) |
(pow.f64 (/.f64 alpha (fma.f64 -2 beta -2)) -1) |
(neg.f64 (/.f64 (fma.f64 -2 beta 2) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2)) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 beta -2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 1)) |
| Outputs |
|---|
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 -4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (/.f64 2 alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 -4 (*.f64 alpha alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha))) |
(-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (fma.f64 beta (neg.f64 (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 -2 (*.f64 beta beta)) (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 2 alpha)) (fma.f64 beta (neg.f64 (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) |
(*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (+.f64 2 beta) alpha))) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
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(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) 1) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 -2 beta -2)) (sqrt.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 1 (/.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 1 (/.f64 (/.f64 alpha (fma.f64 -2 beta -2)) 1)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 beta -2)) 2) (/.f64 alpha (cbrt.f64 (fma.f64 -2 beta -2)))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (sqrt.f64 (fma.f64 -2 beta -2)) (/.f64 alpha (sqrt.f64 (fma.f64 -2 beta -2)))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (neg.f64 (fma.f64 -2 beta -2)) (neg.f64 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (fma.f64 -2 beta -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (fma.f64 beta -2 -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(/.f64 -1 (neg.f64 (/.f64 alpha (fma.f64 -2 beta -2)))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 -2 beta -2))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (*.f64 (fma.f64 -2 beta -8) 1) (*.f64 (fma.f64 4 beta 4) alpha)) |
(/.f64 (fma.f64 -2 beta -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (fma.f64 beta -2 -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) 1) (*.f64 (fma.f64 -2 beta -2) alpha)) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) 1) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (/.f64 (fma.f64 -2 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (*.f64 (fma.f64 -2 beta -8) (/.f64 1 alpha)) (fma.f64 4 beta 4)) |
(/.f64 (fma.f64 -2 beta -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (fma.f64 beta -2 -8) (*.f64 alpha (fma.f64 4 beta 4))) |
(/.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) (/.f64 1 alpha)) (fma.f64 -2 beta -2)) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 -2 beta -2))) |
(/.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(/.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha (fma.f64 beta -2 -2))) |
(pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 1) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3) 1/3) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 3) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 2) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 -2 beta -2)) -1) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(neg.f64 (/.f64 (fma.f64 -2 beta 2) alpha)) |
(/.f64 (neg.f64 (fma.f64 -2 beta 2)) alpha) |
(/.f64 (neg.f64 (fma.f64 beta -2 2)) alpha) |
(/.f64 (+.f64 (+.f64 beta beta) -2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 2)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -2 beta -2) alpha) 3)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -2 beta -2) 3) (pow.f64 alpha 3))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -2 beta -2) alpha)) 1)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
Compiled 25736 to 17278 computations (32.9% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 4 | 687 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 10 | 12 |
| Total | 687 | 25 | 712 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.3b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
| 25.3b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)) 1) 2) | |
| 49.5b | (/.f64 (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 2 alpha)) 2) | |
| 24.3b | (/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) 2) | |
| ✓ | 44.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ✓ | 47.8b | (/.f64 (/.f64 2 alpha) 2) |
| 49.0b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| 47.3b | (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) | |
| 58.8b | (/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2) | |
| ✓ | 44.0b | (/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
| 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| 32.2b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 26.9b | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) | |
| 25.0b | (/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) | |
| ✓ | 18.1b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 45.9b | (/.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) 2) | |
| ✓ | 17.0b | (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
| 35.4b | (/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) | |
| ✓ | 34.5b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 44.4b | (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) | |
| 57.9b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) | |
| 57.9b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 41.1b | (/.f64 2 2) |
| ✓ | 32.1b | (/.f64 1 2) |
Compiled 423 to 315 computations (25.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 (+.f64 alpha beta) -2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) |
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) |
(/.f64 (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 2 alpha)) 2) |
(/.f64 (fma.f64 (log.f64 (exp.f64 (/.f64 (+.f64 -2 (*.f64 -2 beta)) alpha))) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) 2) |
(/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) |
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))) 1) 2) |
(/.f64 (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha)) (-.f64 (*.f64 -2 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))))) (/.f64 (fma.f64 2 (*.f64 beta (fma.f64 (*.f64 beta -2) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))) (*.f64 (fma.f64 beta beta -4) (+.f64 -2 (*.f64 beta -2))))) (*.f64 (fma.f64 beta beta -4) (-.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 (*.f64 beta -2) (+.f64 -2 (*.f64 beta -2)) (neg.f64 (fma.f64 beta beta -4)))))) (pow.f64 alpha 4)))) (-.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 alpha 3)) (fma.f64 beta beta -4)) (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha))) (/.f64 (fma.f64 beta beta -4) (*.f64 alpha alpha))))) 2) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
5 calls:
| 56.0ms | beta |
| 30.0ms | alpha |
| 22.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 15.3b | 3 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 782 to 519 computations (33.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999725159708 | -0.9757541568817153 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) 1) 2) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
5 calls:
| 34.0ms | beta |
| 23.0ms | alpha |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 15.3b | 3 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 336 to 230 computations (31.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999997780673 | -0.9999999725159708 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
5 calls:
| 32.0ms | beta |
| 22.0ms | alpha |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 15.3b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 295 to 207 computations (29.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999997780673 | -0.9999999725159708 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
(/.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (*.f64 beta beta) -4)) 1) 2) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2) |
5 calls:
| 30.0ms | alpha |
| 30.0ms | beta |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 15.3b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 265 to 189 computations (28.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999997780673 | -0.9999999725159708 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 26.0ms | alpha |
| 24.0ms | beta |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 15.4b | 3 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 193 to 144 computations (25.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999997780673 | -0.9999999725159708 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1/4 beta) 1/2)) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
2 calls:
| 24.0ms | beta |
| 16.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.7b | 2 | alpha |
| 16.1b | 3 | beta |
Compiled 141 to 109 computations (22.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.2882984873268884e+64 | 1.00808004441454e+66 |
| 14.0ms | 72× | body | 512 | valid |
| 4.0ms | 40× | body | 256 | valid |
Compiled 188 to 148 computations (21.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
2 calls:
| 20.0ms | beta |
| 13.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.7b | 2 | alpha |
| 16.1b | 3 | beta |
Compiled 86 to 69 computations (19.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.2882984873268884e+64 | 1.00808004441454e+66 |
| 16.0ms | 81× | body | 512 | valid |
| 3.0ms | 31× | body | 256 | valid |
Compiled 188 to 155 computations (17.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2) |
2 calls:
| 21.0ms | beta |
| 12.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 2 | alpha |
| 16.8b | 4 | beta |
Compiled 68 to 55 computations (19.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4.392602034256021e-5 | 72769532.16836685 |
| 19.0ms | 160× | body | 256 | valid |
Compiled 200 to 175 computations (12.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 20.0ms | beta |
| 12.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 2 | alpha |
| 16.8b | 4 | beta |
Compiled 59 to 48 computations (18.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 64.0ms | 0.00010341857960814492 | 289.0500738118898 |
| 12.0ms | 1.8343708729491235e-198 | 3.0697993348039246e-198 |
| 21.0ms | 5.080130717485918e-256 | 2.532643817834575e-251 |
| 47.0ms | 33× | body | 512 | valid |
| 26.0ms | 236× | body | 256 | valid |
| 16.0ms | 58× | body | 1024 | valid |
| 3.0ms | 9× | body | 2048 | valid |
Compiled 416 to 369 computations (11.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 20.0ms | beta |
| 9.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 2 | alpha |
| 17.0b | 4 | beta |
Compiled 45 to 37 computations (17.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.00010341857960814492 | 289.0500738118898 |
| 11.0ms | 1.8343708729491235e-198 | 3.0697993348039246e-198 |
| 49.0ms | 5.080130717485918e-256 | 2.532643817834575e-251 |
| 56.0ms | 238× | body | 256 | valid |
| 16.0ms | 63× | body | 1024 | valid |
| 5.0ms | 27× | body | 512 | valid |
| 3.0ms | 8× | body | 2048 | valid |
Compiled 380 to 342 computations (10% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 16.0ms | beta |
| 9.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 2 | alpha |
| 17.0b | 4 | beta |
Compiled 38 to 31 computations (18.4% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.00010341857960814492 | 289.0500738118898 |
| 11.0ms | 1.8343708729491235e-198 | 3.0697993348039246e-198 |
| 49.0ms | 5.080130717485918e-256 | 2.532643817834575e-251 |
| 52.0ms | 221× | body | 256 | valid |
| 20.0ms | 72× | body | 1024 | valid |
| 7.0ms | 38× | body | 512 | valid |
| 2.0ms | 5× | body | 2048 | valid |
Compiled 296 to 279 computations (5.7% saved)
Total -43.2b remaining (-231.4%)
Threshold costs -43.2b (-231.4%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 35.0ms | beta |
| 6.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 28.2b | 2 | alpha |
| 18.7b | 2 | beta |
Compiled 19 to 17 computations (10.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.00010341857960814492 | 289.0500738118898 |
| 12.0ms | 96× | body | 256 | valid |
| 8.0ms | 33× | body | 1024 | valid |
| 2.0ms | 13× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 128 to 123 computations (3.9% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 513 |
| 1 | 112 | 513 |
| 2 | 125 | 513 |
| 3 | 131 | 513 |
| 4 | 134 | 513 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 alpha 29) (/.f64 1 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 beta 1612226962694291/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 656464960513237/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2558530102513129/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 1 2) (if (<=.f64 beta 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199074597007/9007199254740992) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 1 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007199074597007/9007199254740992) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 alpha 32999999999999998803621698781821303121151227220674917690840711168) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 alpha 29) (/.f64 1 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 alpha 29) 1/2 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)) |
(if (<=.f64 beta 1612226962694291/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 656464960513237/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 1612226962694291/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 656464960513237/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 1612226962694291/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 656464960513237/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 2558530102513129/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 2558530102513129/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 1 2) (if (<=.f64 beta 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) 1/2 (if (<=.f64 beta 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 380 to 277 computations (27.1% saved)
| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 1× | node limit |
Compiled 1381 to 991 computations (28.2% saved)
Compiled 356 to 240 computations (32.6% saved)
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