Time bar (total: 11.6s)
| 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)
| 1.0s | 6447× | body | 256 | valid |
| 483.0ms | 1077× | body | 1024 | valid |
| 160.0ms | 624× | body | 512 | valid |
| 41.0ms | 108× | body | 2048 | valid |
| 2× | egg-herbie |
| 1084× | fma-neg |
| 902× | associate-+l- |
| 768× | div-sub |
| 742× | associate--l- |
| 622× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 74 |
| 1 | 41 | 74 |
| 2 | 64 | 74 |
| 3 | 110 | 74 |
| 4 | 200 | 74 |
| 5 | 438 | 66 |
| 6 | 956 | 66 |
| 7 | 2718 | 66 |
| 8 | 5961 | 66 |
| 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 (+.f64 beta alpha) 2)) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 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 (+.f64 beta alpha) 2))) 2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 982× | associate-/l* |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | associate-+l- |
| 618× | associate--l- |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 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 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4))) |
Compiled 65 to 39 computations (40% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.7b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 beta alpha) 2)) |
| ✓ | 2.6b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1468× | associate-/r/ |
| 762× | associate-/l/ |
| 280× | +-commutative |
| 274× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 259 | 56 |
| 2 | 3844 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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| 1× | egg-herbie |
| 926× | distribute-lft-in |
| 806× | distribute-rgt-in |
| 736× | *-commutative |
| 726× | +-commutative |
| 570× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 12724 |
| 1 | 2158 | 12284 |
| 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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 0) |
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) |
(+.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1) |
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) |
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 2))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)) |
(*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 (+.f64 beta alpha) 2)) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta alpha) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) 1) (/.f64 1 (+.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3) |
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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 (*.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 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.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 (*.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 (+.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 (+.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 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.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 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 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 (*.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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.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 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 2 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -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 (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 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.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)))))) |
(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 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.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 (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) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
(+.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)))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (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))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.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))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(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))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.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)))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (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 (neg.f64 alpha) (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (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))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 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 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 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)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.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))) |
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1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) 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) |
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(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1) |
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(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1) |
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(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) |
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(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1) |
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(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) |
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(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 12227 to 7570 computations (38.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 8 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 8 | 355 |
| Status | Error | Program |
|---|---|---|
| 44.9b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| ▶ | 31.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 46.2b | (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2) |
| ▶ | 17.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 24.2b | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
| 61.6b | (/.f64 (+.f64 -1 1) 2) | |
| 46.3b | (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) | |
| ▶ | 41.0b | (/.f64 2 2) |
Compiled 302 to 232 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 1× | batch-egg-rewrite |
| 1986× | add-sqr-sqrt |
| 1962× | *-un-lft-identity |
| 1846× | add-cube-cbrt |
| 1832× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 (/.f64 1 (+.f64 beta 2)) beta)))) (#(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 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.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 beta (fma.f64 beta beta -4)) (+.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 (sqrt.f64 beta) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.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 (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 pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(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 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 (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 (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 (+.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 (+.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 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 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 (+.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 (+.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 1 (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 (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 pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(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 pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.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 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 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.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))))) |
| 1× | egg-herbie |
| 992× | fma-def |
| 832× | times-frac |
| 784× | associate-/l* |
| 770× | unswap-sqr |
| 644× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2706 |
| 1 | 481 | 2460 |
| 2 | 1722 | 2280 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (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 (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 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.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 (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.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 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(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)))) |
(log.f64 (+.f64 1 (expm1.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)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (+.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 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.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 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 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 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 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 1 (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 (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)))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log.f64 (+.f64 1 (expm1.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))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.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) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta)) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(+.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 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
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 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.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 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 (*.f64 1/2 beta) 1) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1) |
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1)) |
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1)) |
(+.f64 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1)) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (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 (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 (/.f64 1 (+.f64 beta 2)) beta) |
(+.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 (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 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 beta (fma.f64 beta beta -4)) (+.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 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4)))) |
(*.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 (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 (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 (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 (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))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.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 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 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)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.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)) |
(log.f64 (+.f64 1 (expm1.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)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.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)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(+.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 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.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 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 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 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 (/.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 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.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 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.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 (/.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 (+.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 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.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 (/.f64 beta (+.f64 beta 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 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -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 (/.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 (+.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 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.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)) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.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 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 beta (+.f64 beta 2))) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 1.8b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 1378× | associate-*r/ |
| 948× | associate-*l/ |
| 902× | associate-/r* |
| 796× | *-commutative |
| 678× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
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2)))))))) |
| 1× | egg-herbie |
| 1422× | associate-/r/ |
| 824× | associate-+l+ |
| 678× | associate-+r+ |
| 612× | +-commutative |
| 488× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 396 | 7817 |
| 1 | 1111 | 6943 |
| 2 | 4264 | 6921 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2)) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4)))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))) |
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 1/4 (*.f64 -1/8 alpha)))) |
(/.f64 2 alpha) |
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(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 alpha (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (+.f64 -4 (*.f64 alpha (-.f64 2 alpha))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 alpha (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (+.f64 -4 (*.f64 alpha (-.f64 2 alpha))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (+.f64 alpha 2)) (sqrt.f64 (fma.f64 alpha alpha -4)))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 alpha -2)) alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (fma.f64 alpha alpha -4)))) |
(*.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (fma.f64 alpha alpha -4)))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.7b | (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) |
| ✓ | 6.7b | (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
| ✓ | 17.3b | (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
Compiled 122 to 68 computations (44.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | alpha | @ | 0 | (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
| 2.0ms | alpha | @ | 0 | (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
| 1× | batch-egg-rewrite |
| 1444× | associate-/l/ |
| 556× | associate-+l+ |
| 464× | +-commutative |
| 412× | associate-+r+ |
| 390× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 174 |
| 1 | 367 | 118 |
| 2 | 5830 | 118 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
(-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1380× | +-commutative |
| 1364× | associate-/l* |
| 948× | associate-+r+ |
| 900× | associate-+l+ |
| 518× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1142 | 35834 |
| 1 | 3924 | 35604 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) |
(+.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 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 beta (-.f64 (pow.f64 beta 2) 4)) |
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha))) |
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 4 (/.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))))))) (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 4 (/.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha))))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -1 beta) 4)) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -1 beta) 4)) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 beta) 4))) (*.f64 -4 (+.f64 (*.f64 4 (-.f64 (*.f64 -1 beta) 4)) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 beta) 4))) (*.f64 -4 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.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 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
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) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.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 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2))))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.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 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4)))))))))) |
(/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))))) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha)))))) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 (*.f64 4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4))))) (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))))))) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))))) (*.f64 4 (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4))) (*.f64 -4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))))))) (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) |
(*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(pow.f64 beta 2) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(pow.f64 beta 2) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (pow.f64 beta 2) 4) |
(-.f64 (+.f64 (*.f64 -4 alpha) (pow.f64 beta 2)) 4) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(*.f64 -1 (pow.f64 alpha 2)) |
(+.f64 (*.f64 -4 alpha) (*.f64 -1 (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(*.f64 -1 (pow.f64 alpha 2)) |
(+.f64 (*.f64 -4 alpha) (*.f64 -1 (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 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 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.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 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (/.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 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(/.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 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.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 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.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 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4))))))))) |
-1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (*.f64 4 (/.f64 1 alpha))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(+.f64 (neg.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) 1) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) -2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (*.f64 beta (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (-.f64 beta alpha) -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (-.f64 beta alpha) -2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) -1))) |
(-.f64 (+.f64 2 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3)))) |
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(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (*.f64 beta (+.f64 alpha 2)) 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (neg.f64 (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (*.f64 beta (+.f64 alpha 2)) 2)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha))) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (-.f64 beta (-.f64 -2 alpha)))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta (neg.f64 alpha)))) |
(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (-.f64 (*.f64 beta beta) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 2) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 2) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (-.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 beta alpha) 2) 4) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 (-.f64 beta alpha) 2))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (-.f64 -2 alpha) 3)) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (*.f64 beta (-.f64 -2 alpha)))))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (neg.f64 alpha) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 beta (neg.f64 alpha)))))) |
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3)) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 beta 4) (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))))) |
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (+.f64 (pow.f64 beta 4) (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3) (pow.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3)) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 2) (-.f64 (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3) (pow.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha))) (+.f64 (pow.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 2) (-.f64 (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 beta alpha) 3) 8) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 4 (*.f64 (-.f64 beta alpha) 2))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (pow.f64 beta 6) (+.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (neg.f64 (-.f64 beta alpha))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 4)))) |
(+.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (*.f64 beta beta)))) |
(+.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 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 4))))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 4) (*.f64 beta beta)))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (/.f64 (neg.f64 alpha) (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (/.f64 (neg.f64 alpha) (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 4)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))))) |
(/.f64 beta (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
(/.f64 beta (+.f64 -4 (*.f64 beta beta))) |
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha))) |
(+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (neg.f64 (*.f64 alpha (fma.f64 -4 (/.f64 beta (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)) (/.f64 1 (+.f64 (*.f64 beta beta) -4)))))) |
(+.f64 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (neg.f64 (*.f64 alpha (fma.f64 -4 (/.f64 beta (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2)) (/.f64 1 (+.f64 -4 (*.f64 beta beta))))))) |
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 4 (/.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha)))) |
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(/.f64 1 alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -1 beta) 4)) (*.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
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(/.f64 1 alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 -4 (fma.f64 -1 beta -4))) (pow.f64 alpha 3)) (/.f64 1 alpha))) (/.f64 4 (*.f64 alpha alpha))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 beta) 4))) (*.f64 -4 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -4 (-.f64 (*.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (*.f64 beta beta) -4) (fma.f64 -1 beta -4)) (*.f64 -4 (-.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 -4 (fma.f64 -1 beta -4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 -4 (fma.f64 -1 beta -4))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (/.f64 4 (*.f64 alpha alpha))) |
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(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (/.f64 alpha (+.f64 alpha 2)))))) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (/.f64 alpha (+.f64 alpha 2))))))) |
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2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (/.f64 (-.f64 -2 alpha) beta))) |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (/.f64 (-.f64 -2 alpha) beta))) (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (+.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (*.f64 (fma.f64 -1 alpha (-.f64 -2 alpha)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (/.f64 (-.f64 -2 alpha) beta))) (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta)))) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta 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 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)) (/.f64 (neg.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) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))) (*.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 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2))))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2)))) |
(+.f64 1 (/.f64 beta (/.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 beta -2)))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (fma.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))))) |
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(+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.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 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2))))) |
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(/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) alpha) |
(/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))))) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) |
(neg.f64 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha)) |
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(-.f64 (fma.f64 -4 (/.f64 (+.f64 4 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta)))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 (+.f64 (*.f64 beta beta) -4) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (fma.f64 2 beta -2) -4))) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 4 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta))))) (*.f64 4 (fma.f64 -1 (*.f64 (+.f64 (*.f64 beta beta) -4) (fma.f64 -1 (fma.f64 2 beta -2) -4)) (*.f64 -4 (+.f64 4 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta)))))))) (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha))))))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
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(*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) |
(neg.f64 (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (pow.f64 beta 2) 4) |
(+.f64 (*.f64 beta beta) -4) |
(+.f64 -4 (*.f64 beta beta)) |
(-.f64 (+.f64 (*.f64 -4 alpha) (pow.f64 beta 2)) 4) |
(+.f64 (fma.f64 -4 alpha (*.f64 beta beta)) -4) |
(+.f64 -4 (fma.f64 -4 alpha (*.f64 beta beta))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
(+.f64 -4 (-.f64 (fma.f64 -4 alpha (*.f64 beta beta)) (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
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(*.f64 -1 (pow.f64 alpha 2)) |
(neg.f64 (*.f64 alpha alpha)) |
(+.f64 (*.f64 -4 alpha) (*.f64 -1 (pow.f64 alpha 2))) |
(fma.f64 -4 alpha (neg.f64 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
(+.f64 -4 (-.f64 (fma.f64 -4 alpha (*.f64 beta beta)) (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
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(*.f64 -1 (pow.f64 alpha 2)) |
(neg.f64 (*.f64 alpha alpha)) |
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(fma.f64 -4 alpha (neg.f64 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
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(-.f64 (+.f64 (*.f64 -4 alpha) (+.f64 (pow.f64 beta 2) (*.f64 -1 (pow.f64 alpha 2)))) 4) |
(+.f64 (fma.f64 -4 alpha (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) -4) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (/.f64 alpha (+.f64 alpha 2))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha))) (*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 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 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.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 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 -1 alpha (-.f64 -2 alpha)))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 -1 (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (/.f64 alpha (+.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (+.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (*.f64 (fma.f64 -1 alpha (-.f64 -2 alpha)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta)))) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 1) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (/.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) 1) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1)) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3)))))) (*.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) 1) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2))))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 beta (/.f64 alpha beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2))))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))) |
(/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) |
(/.f64 beta (/.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 beta -2))) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha)) |
(fma.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2)))) |
(fma.f64 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2)))) alpha (/.f64 beta (/.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 beta -2)))) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha))) |
(+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) (fma.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (+.f64 (*.f64 beta beta) -4)))) (*.f64 alpha alpha) (*.f64 alpha (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))))) |
(+.f64 (/.f64 beta (/.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 beta -2))) (fma.f64 (-.f64 (/.f64 1 (+.f64 -4 (*.f64 beta beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))))) (+.f64 -4 (*.f64 beta beta))))) (*.f64 alpha alpha) (*.f64 alpha (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))))))) |
(+.f64 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (*.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (*.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4))))))))) |
(+.f64 (/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta -2))) (fma.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (+.f64 (*.f64 beta beta) -4)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) alpha (neg.f64 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2))) (+.f64 (*.f64 beta beta) -4)) (/.f64 (*.f64 -4 (-.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 (*.f64 beta beta) -4) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (-.f64 (*.f64 -1 (+.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 (+.f64 beta -2) (+.f64 (*.f64 beta beta) -4)))) (/.f64 (*.f64 -4 (*.f64 beta (+.f64 beta -2))) (pow.f64 (+.f64 (*.f64 beta beta) -4) 2)))) (+.f64 (*.f64 beta beta) -4))))) (+.f64 (*.f64 beta beta) -4)))))))) |
(+.f64 (fma.f64 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2)))) alpha (/.f64 beta (/.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 beta -2)))) (fma.f64 (-.f64 (/.f64 1 (+.f64 -4 (*.f64 beta beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))))) (+.f64 -4 (*.f64 beta beta))))) (*.f64 alpha alpha) (neg.f64 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2)))) (+.f64 -4 (*.f64 beta beta))) (/.f64 -4 (/.f64 (+.f64 -4 (*.f64 beta beta)) (-.f64 (/.f64 1 (+.f64 -4 (*.f64 beta beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))) (/.f64 (*.f64 -4 (+.f64 (fma.f64 -1 (/.f64 beta (+.f64 -4 (*.f64 beta beta))) (/.f64 (neg.f64 (+.f64 beta -2)) (+.f64 -4 (*.f64 beta beta)))) (/.f64 (*.f64 4 beta) (/.f64 (pow.f64 (+.f64 -4 (*.f64 beta beta)) 2) (+.f64 beta -2))))) (+.f64 -4 (*.f64 beta beta)))))))))))) |
-1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (*.f64 4 (/.f64 1 alpha))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 4 alpha)) -1) |
(+.f64 -1 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (/.f64 4 alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))) alpha) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (/.f64 4 (*.f64 alpha alpha))))) (+.f64 1 (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (+.f64 1 (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 4 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 -1 (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))) alpha) (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (+.f64 4 (*.f64 (neg.f64 beta) (+.f64 beta -2))) (fma.f64 4 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 beta beta))) (neg.f64 (*.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (/.f64 4 (*.f64 alpha alpha)))))) (+.f64 1 (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (fma.f64 -1 (/.f64 (fma.f64 4 (+.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (-.f64 4 (fma.f64 4 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 beta beta)))) (neg.f64 (*.f64 (+.f64 -4 (*.f64 beta beta)) (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))))) (+.f64 1 (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) 1) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2)))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (+.f64 1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (+.f64 (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))) 1))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2)))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -4 (/.f64 (+.f64 4 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta)))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (+.f64 (*.f64 beta beta) -4) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (fma.f64 2 beta -2) -4))) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta -2))) (/.f64 4 (*.f64 alpha alpha)))))) (+.f64 (+.f64 1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -4 (/.f64 (+.f64 4 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta -2)) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta)))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (+.f64 -4 (*.f64 beta beta)) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (fma.f64 2 beta -2) -4))) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (+.f64 (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))) 1))) |
(+.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (neg.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (/.f64 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) 1) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 1) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
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(+.f64 (*.f64 beta beta) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1)) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 beta beta) (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
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(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
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(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
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(+.f64 (-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2))) |
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(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
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(+.f64 (-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(+.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (*.f64 beta beta)) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 beta beta) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 beta beta) (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 beta beta) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (*.f64 beta beta)) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 (-.f64 -2 alpha) 2) (*.f64 beta beta))) |
(fma.f64 alpha (-.f64 -2 alpha) (fma.f64 2 (-.f64 -2 alpha) (*.f64 beta beta))) |
(+.f64 (*.f64 (-.f64 -2 alpha) 2) (+.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta))) |
(fma.f64 alpha (-.f64 -2 alpha) (fma.f64 2 (-.f64 -2 alpha) (*.f64 beta beta))) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha))) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (+.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(-.f64 (fma.f64 beta beta (*.f64 2 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (*.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (fma.f64 (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(-.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta beta (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta)) |
(-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (*.f64 alpha (-.f64 -2 alpha)) (+.f64 (*.f64 2 (-.f64 -2 alpha)) (*.f64 beta beta))) |
(fma.f64 alpha (-.f64 -2 alpha) (fma.f64 2 (-.f64 -2 alpha) (*.f64 beta beta))) |
(+.f64 (*.f64 2 (-.f64 -2 alpha)) (+.f64 (*.f64 alpha (-.f64 -2 alpha)) (*.f64 beta beta))) |
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(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.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 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (-.f64 beta alpha)))) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.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 alpha (+.f64 beta 2)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) 1) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.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 alpha (+.f64 beta 2)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (neg.f64 (-.f64 beta alpha))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))) (-.f64 beta alpha)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 beta 2))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (-.f64 -2 alpha))) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.0b | (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
| ✓ | 6.4b | (/.f64 beta (pow.f64 alpha 3)) |
| ✓ | 8.7b | (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
| ✓ | 11.8b | (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
Compiled 246 to 165 computations (32.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
| 1.0ms | beta | @ | 0 | (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
| 1.0ms | alpha | @ | 0 | (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
| 1.0ms | beta | @ | 0 | (/.f64 beta (pow.f64 alpha 3)) |
| 1.0ms | beta | @ | -inf | (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
| 1× | batch-egg-rewrite |
| 624× | add-sqr-sqrt |
| 608× | *-un-lft-identity |
| 602× | pow1 |
| 582× | add-cbrt-cube |
| 582× | add-cube-cbrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 302 |
| 1 | 619 | 296 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(/.f64 beta (pow.f64 alpha 3)) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 4) (/.f64 (*.f64 beta beta) (pow.f64 alpha 6))) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) (/.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) (sqrt.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)) (cbrt.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 4) (/.f64 (*.f64 beta beta) (pow.f64 alpha 6))) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2)) (/.f64 1 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) 3) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 4) (/.f64 (*.f64 beta beta) (pow.f64 alpha 6))) (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (*.f64 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| 1× | egg-herbie |
| 1142× | +-commutative |
| 814× | associate-/r/ |
| 616× | fma-def |
| 562× | associate--l+ |
| 520× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 23302 |
| 1 | 1324 | 22208 |
| 2 | 5444 | 22104 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(*.f64 (/.f64 1 (pow.f64 alpha 3)) beta) |
(*.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 beta alpha)) |
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 alpha 3))) (/.f64 beta (sqrt.f64 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 1 (pow.f64 alpha 3/2)) (/.f64 beta (pow.f64 alpha 3/2))) |
(*.f64 (pow.f64 (/.f64 beta (pow.f64 alpha 3)) 1/2) (pow.f64 (/.f64 beta (pow.f64 alpha 3)) 1/2)) |
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) (*.f64 alpha alpha)) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (pow.f64 alpha 3))) |
(*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (pow.f64 alpha 3))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 beta) (pow.f64 alpha 3/2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) alpha) (/.f64 (cbrt.f64 beta) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (pow.f64 alpha 3))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (pow.f64 alpha 3))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 alpha 3/2)) (/.f64 (cbrt.f64 beta) (pow.f64 alpha 3/2))) |
(pow.f64 (/.f64 beta (pow.f64 alpha 3)) 1) |
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 3)))) |
(log.f64 (exp.f64 (/.f64 beta (pow.f64 alpha 3)))) |
(cbrt.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 beta beta) (pow.f64 alpha 6)))) |
(expm1.f64 (log1p.f64 (/.f64 beta (pow.f64 alpha 3)))) |
(exp.f64 (log.f64 (/.f64 beta (pow.f64 alpha 3)))) |
(log1p.f64 (expm1.f64 (/.f64 beta (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) 1) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1) |
(*.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(*.f64 (sqrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) (sqrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(*.f64 (cbrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) (cbrt.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2)) (cbrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(*.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1/2) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1/2)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4))) (-.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) 3) (pow.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) 3)) (+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4)) (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))))) |
(pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1) |
(log.f64 (exp.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(cbrt.f64 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2))) |
(expm1.f64 (log1p.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(exp.f64 (log.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(log1p.f64 (expm1.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha 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 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 2 alpha)) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 2 alpha))) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 2 alpha) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 4 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 2 alpha) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) |
(fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (+.f64 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 2 alpha) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 4 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 2 alpha) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) |
(fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))) (*.f64 (neg.f64 beta) (-.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 3))))))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 beta (-.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 4 (pow.f64 alpha 3))))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 4 (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))) (*.f64 (neg.f64 beta) (-.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 3))))))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 2 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 2 alpha)) (-.f64 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (-.f64 (/.f64 -2 alpha) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -4 (*.f64 alpha alpha))))) |
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) |
(*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) |
(fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (*.f64 (-.f64 -2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (*.f64 (-.f64 -2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) |
(-.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (/.f64 (*.f64 (-.f64 -2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) |
(/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
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(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(*.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(*.f64 (sqrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) (sqrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(*.f64 (cbrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) (cbrt.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2)) (cbrt.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) 2))) |
(*.f64 (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1/2) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1/2)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4))) (-.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4))) (-.f64 (/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (-.f64 (/.f64 (neg.f64 (-.f64 -2 (+.f64 beta beta))) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) 3) (pow.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) 3)) (+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4)) (*.f64 (neg.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) 3) (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 3)) (+.f64 (*.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 4)) (*.f64 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) 3)) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3) (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) 3)) (+.f64 (fma.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (/.f64 (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) |
(pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 1) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(log.f64 (exp.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(cbrt.f64 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (pow.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) 2))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(expm1.f64 (log1p.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(exp.f64 (log.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
(log1p.f64 (expm1.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (-.f64 -2 (+.f64 beta beta)) alpha)) |
Compiled 62597 to 43493 computations (30.5% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1360 | 11 | 1371 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1364 | 15 | 1379 |
| Status | Error | Program |
|---|---|---|
| 44.9b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| 48.5b | (/.f64 (/.f64 2 alpha) 2) | |
| 45.9b | (/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) | |
| 45.9b | (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) | |
| ▶ | 49.6b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| 46.3b | (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) 2) | |
| ▶ | 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 31.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 32.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 17.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 49.4b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| ▶ | 24.9b | (/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
| ▶ | 33.8b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 41.0b | (/.f64 2 2) |
| ▶ | 31.8b | (/.f64 1 2) |
Compiled 575 to 441 computations (23.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) |
| ✓ | 0.1b | (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) |
| ✓ | 8.7b | (/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
Compiled 75 to 43 computations (42.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
| 1× | batch-egg-rewrite |
| 1636× | associate-/r* |
| 1198× | associate-/l* |
| 340× | add-sqr-sqrt |
| 328× | pow1 |
| 328× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 83 |
| 1 | 327 | 83 |
| 2 | 4651 | 83 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 (*.f64 beta beta) -4)) |
(*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) |
| Outputs |
|---|
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(-.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1))))) |
| 1× | egg-herbie |
| 1334× | associate-/l* |
| 894× | associate-/l/ |
| 728× | associate-/r* |
| 602× | associate-/r/ |
| 578× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 721 | 18259 |
| 1 | 1920 | 18047 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 beta) |
(+.f64 (*.f64 -1/4 beta) (*.f64 -1/16 (pow.f64 beta 3))) |
(+.f64 (*.f64 -1/4 beta) (+.f64 (*.f64 -1/16 (pow.f64 beta 3)) (*.f64 -1/64 (pow.f64 beta 5)))) |
(+.f64 (*.f64 -1/4 beta) (+.f64 (*.f64 -1/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/256 (pow.f64 beta 7)) (*.f64 -1/64 (pow.f64 beta 5))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 16 (/.f64 1 (pow.f64 beta 5))))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 64 (/.f64 1 (pow.f64 beta 7))) (*.f64 16 (/.f64 1 (pow.f64 beta 5)))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 16 (/.f64 1 (pow.f64 beta 5))))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 64 (/.f64 1 (pow.f64 beta 7))) (*.f64 16 (/.f64 1 (pow.f64 beta 5)))))) |
(*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) |
(+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
(/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
1 |
(+.f64 1 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 alpha (pow.f64 beta 3)))))) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 8 (*.f64 -4 alpha)) (pow.f64 beta 3)))))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) 1) |
(*.f64 beta (/.f64 1 (+.f64 (*.f64 beta beta) -4))) |
(*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 1) |
(*.f64 1 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) (sqrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) 2) (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 beta beta) -4)) beta) |
(*.f64 (neg.f64 beta) (/.f64 -1 (+.f64 (*.f64 beta beta) -4))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 beta beta) -4))) (/.f64 beta (sqrt.f64 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 beta beta) -4)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 4) -16)) (fma.f64 beta beta 4)) |
(*.f64 (/.f64 beta (+.f64 -64 (pow.f64 beta 6))) (-.f64 (+.f64 16 (pow.f64 beta 4)) (*.f64 beta (*.f64 beta -4)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 (*.f64 beta beta) -4))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (*.f64 beta beta) -4)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 (*.f64 beta beta) -4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (*.f64 beta beta) -4))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (*.f64 beta beta) -4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 beta beta) -4)) 2)) (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(pow.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) 3) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) beta) -1) |
(neg.f64 (/.f64 beta (-.f64 4 (*.f64 beta beta)))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 (*.f64 beta beta) -4) 3))) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 0) |
(+.f64 1 (fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) -1)) |
(+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) beta) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 -2 alpha))) |
(+.f64 (*.f64 beta (/.f64 beta (+.f64 (*.f64 beta beta) -4))) (*.f64 (-.f64 -2 alpha) (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 -2 alpha)) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) beta)) |
(+.f64 (*.f64 (-.f64 -2 alpha) (/.f64 beta (+.f64 (*.f64 beta beta) -4))) (*.f64 beta (/.f64 beta (+.f64 (*.f64 beta beta) -4)))) |
(-.f64 (fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) 1))) 2) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) -1)) (+.f64 (/.f64 1 (fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) -1)) 1)) |
(/.f64 beta (/.f64 (+.f64 (*.f64 beta beta) -4) (-.f64 beta (+.f64 alpha 2)))) |
(/.f64 beta (/.f64 (*.f64 (+.f64 (*.f64 beta beta) -4) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 beta (/.f64 (*.f64 (+.f64 (*.f64 beta beta) -4) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) |
(/.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (/.f64 1 (-.f64 beta (+.f64 alpha 2)))) |
(/.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 (*.f64 beta beta) -4) beta)) |
(/.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 1 (/.f64 (+.f64 (*.f64 beta beta) -4) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta beta) -4) beta) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) 1) |
(fma.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 1) |
(fma.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1) |
| Outputs |
|---|
(*.f64 -1/4 beta) |
(+.f64 (*.f64 -1/4 beta) (*.f64 -1/16 (pow.f64 beta 3))) |
(fma.f64 -1/4 beta (*.f64 -1/16 (pow.f64 beta 3))) |
(+.f64 (*.f64 -1/4 beta) (+.f64 (*.f64 -1/16 (pow.f64 beta 3)) (*.f64 -1/64 (pow.f64 beta 5)))) |
(fma.f64 -1/4 beta (fma.f64 -1/16 (pow.f64 beta 3) (*.f64 -1/64 (pow.f64 beta 5)))) |
(+.f64 (*.f64 -1/4 beta) (+.f64 (*.f64 -1/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/256 (pow.f64 beta 7)) (*.f64 -1/64 (pow.f64 beta 5))))) |
(fma.f64 -1/4 beta (fma.f64 -1/16 (pow.f64 beta 3) (fma.f64 -1/256 (pow.f64 beta 7) (*.f64 -1/64 (pow.f64 beta 5))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 16 (/.f64 1 (pow.f64 beta 5))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 16 (pow.f64 beta 5)))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 1 beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 64 (/.f64 1 (pow.f64 beta 7))) (*.f64 16 (/.f64 1 (pow.f64 beta 5)))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 64 (pow.f64 beta 7))))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 64 (pow.f64 beta 7))) (/.f64 1 beta))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (*.f64 16 (/.f64 1 (pow.f64 beta 5))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 16 (pow.f64 beta 5)))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 1 beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 64 (/.f64 1 (pow.f64 beta 7))) (*.f64 16 (/.f64 1 (pow.f64 beta 5)))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 64 (pow.f64 beta 7))))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 16 (pow.f64 beta 5)) (/.f64 64 (pow.f64 beta 7))) (/.f64 1 beta))) |
(*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) |
(*.f64 (*.f64 1/4 beta) (+.f64 2 alpha)) |
(*.f64 (+.f64 2 alpha) (*.f64 beta 1/4)) |
(+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/4 (*.f64 beta (+.f64 2 alpha)) (*.f64 -1/4 (*.f64 beta beta))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2)))) |
(fma.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)) (fma.f64 1/4 (*.f64 beta (+.f64 2 alpha)) (*.f64 -1/4 (*.f64 beta beta)))) |
(+.f64 (*.f64 -1/4 (*.f64 beta beta)) (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 (pow.f64 beta 3) 1/16) (*.f64 beta 1/4)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)) (fma.f64 1/4 (*.f64 beta (+.f64 2 alpha)) (*.f64 -1/4 (*.f64 beta beta))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (+.f64 (*.f64 -1/4 (*.f64 beta beta)) (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 (pow.f64 beta 3) 1/16) (*.f64 beta 1/4))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(-.f64 1 (/.f64 (+.f64 2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 (-.f64 -2 alpha) beta) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(-.f64 1 (/.f64 (+.f64 2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta))) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 (-.f64 -2 alpha) beta) (*.f64 -4 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)))))) |
(/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) |
(/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(neg.f64 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha))) |
(/.f64 (neg.f64 beta) (/.f64 (fma.f64 beta beta -4) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) |
(neg.f64 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha))) |
(/.f64 (neg.f64 beta) (/.f64 (fma.f64 beta beta -4) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha)) |
1 |
(+.f64 1 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha)))) |
(+.f64 1 (*.f64 (*.f64 1/4 beta) (+.f64 2 alpha))) |
(+.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 beta 1/4))) |
(+.f64 1 (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 1/4 (*.f64 beta (+.f64 2 alpha)) (*.f64 -1/4 (*.f64 beta beta)))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 beta (+.f64 2 alpha))) (*.f64 -1/4 (pow.f64 beta 2))))) |
(fma.f64 1/16 (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)) (+.f64 1 (fma.f64 1/4 (*.f64 beta (+.f64 2 alpha)) (*.f64 -1/4 (*.f64 beta beta))))) |
(+.f64 1 (+.f64 (*.f64 -1/4 (*.f64 beta beta)) (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 (pow.f64 beta 3) 1/16) (*.f64 beta 1/4))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 2 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 2 alpha) beta))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -4 (/.f64 alpha (pow.f64 beta 3)))))) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta))) (*.f64 -4 (/.f64 alpha (pow.f64 beta 3)))) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (+.f64 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 2 alpha) beta)) (-.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 3))) (/.f64 8 (pow.f64 beta 3))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 2 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 8 (*.f64 -4 alpha)) (pow.f64 beta 3)))))) |
(+.f64 2 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 4 (*.f64 beta beta))) (neg.f64 (/.f64 (+.f64 8 (*.f64 4 alpha)) (pow.f64 beta 3))))) |
(+.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 (+.f64 8 (*.f64 4 alpha)) (pow.f64 beta 3)))) |
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))) |
(+.f64 1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))) |
(+.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (+.f64 1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
(fma.f64 -1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) alpha)) (+.f64 1 (/.f64 beta (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (-.f64 (pow.f64 beta 2) 4))) (+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))) |
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 3)) (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 3)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 3)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1)))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2) (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) -1))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))) (sqrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)))))))) |
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))) (cbrt.f64 (-.f64 1 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)))))))) |
(pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 2) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)) 3) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1)))) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 3)) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1)) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha))))) |
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(fma.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (+.f64 (*.f64 beta beta) -4)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(fma.f64 1 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)))) 2) 1) |
(+.f64 1 (pow.f64 (sqrt.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)))) 2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 beta (+.f64 2 alpha)) 1) |
(fma.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 -2 (-.f64 alpha beta)) 1) |
Compiled 7 to 7 computations (0% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 2 (/.f64 2 beta)) |
Compiled 19 to 15 computations (21.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (-.f64 2 (/.f64 2 beta)) |
| 0.0ms | beta | @ | -inf | (-.f64 2 (/.f64 2 beta)) |
| 0.0ms | beta | @ | inf | (-.f64 2 (/.f64 2 beta)) |
| 1× | batch-egg-rewrite |
| 1512× | add-sqr-sqrt |
| 1486× | *-un-lft-identity |
| 1398× | add-cube-cbrt |
| 1388× | add-cbrt-cube |
| 1378× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 139 | 13 |
| 2 | 1818 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 2 (/.f64 2 beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 -2 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) (sqrt.f64 (-.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (/.f64 2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (/.f64 2 beta)))))))) |
| 1× | egg-herbie |
| 1032× | associate-*r/ |
| 994× | associate-/r* |
| 946× | associate-*r* |
| 904× | *-commutative |
| 904× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 893 |
| 1 | 204 | 813 |
| 2 | 777 | 803 |
| 3 | 3487 | 803 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 beta) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (/.f64 -2 beta)) |
(+.f64 2 (*.f64 (/.f64 -2 beta) 1)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 (-.f64 2 (/.f64 2 beta)) 1) |
(*.f64 1 (-.f64 2 (/.f64 2 beta))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) (sqrt.f64 (-.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 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta))))) |
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3))))) |
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta))))) |
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))) |
(pow.f64 (-.f64 2 (/.f64 2 beta)) 1) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) 2) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 3) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3)) |
(expm1.f64 (log1p.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)) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 2 beta)))) |
| Outputs |
|---|
(/.f64 -2 beta) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(+.f64 2 (*.f64 (/.f64 -2 beta) 1)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(+.f64 (/.f64 -2 beta) 2) |
(-.f64 2 (/.f64 2 beta)) |
(*.f64 (-.f64 2 (/.f64 2 beta)) 1) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 1 (-.f64 2 (/.f64 2 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) (sqrt.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 2)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 2) (cbrt.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))) |
(/.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4)) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta))) |
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta))))) |
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3))))) |
(/.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4)) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta))) |
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4)) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta))) |
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta))) |
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta))))) |
(/.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4)) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta))) |
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta)))) |
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta)))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (-.f64 2 (/.f64 -2 beta))) |
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta))) |
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))) |
(/.f64 (*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4)) |
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta))) |
(pow.f64 (-.f64 2 (/.f64 2 beta)) 1) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(pow.f64 (sqrt.f64 (-.f64 2 (/.f64 2 beta))) 2) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(pow.f64 (cbrt.f64 (-.f64 2 (/.f64 2 beta))) 3) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(pow.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3) 1/3) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(log.f64 (exp.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(cbrt.f64 (pow.f64 (-.f64 2 (/.f64 2 beta)) 3)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(expm1.f64 (log1p.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(exp.f64 (log.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(exp.f64 (*.f64 (log.f64 (-.f64 2 (/.f64 2 beta))) 1)) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
(log1p.f64 (expm1.f64 (-.f64 2 (/.f64 2 beta)))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 (/.f64 -2 beta) 2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 4 (*.f64 alpha alpha)) |
| ✓ | 0.3b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 1× | batch-egg-rewrite |
| 1348× | associate-/r* |
| 948× | *-commutative |
| 564× | associate-/l* |
| 428× | distribute-lft-in |
| 424× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 211 | 32 |
| 2 | 3068 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 4 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (neg.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 alpha -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 alpha alpha)))))))) |
| 1× | egg-herbie |
| 872× | associate-*r* |
| 798× | times-frac |
| 796× | associate-/l* |
| 786× | associate-/r* |
| 692× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 600 | 11360 |
| 1 | 1815 | 10746 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 1 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 1 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 2 alpha)) |
(+.f64 (*.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (*.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (*.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (*.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha))))) 1) |
(*.f64 2 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))) |
(*.f64 2 (-.f64 (sqrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))) |
(*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 -2 alpha))) |
(*.f64 (/.f64 2 alpha) (+.f64 (/.f64 -2 alpha) 1)) |
(*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1) |
(*.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))) |
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(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 alpha 1/2)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 alpha 1/2)) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (neg.f64 alpha)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) -1) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 -2 (*.f64 alpha (neg.f64 alpha))) (*.f64 (neg.f64 alpha) -4)) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha))) |
(pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))))))) |
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 2 alpha) 4)) (neg.f64 (pow.f64 alpha 3)))) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)) |
(log.f64 (exp.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(exp.f64 (log.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha)))) 1) |
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha))) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha))) |
(*.f64 (/.f64 4 (*.f64 alpha alpha)) 1) |
(*.f64 1 (/.f64 4 (*.f64 alpha alpha))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha)) |
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha)) |
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha))) |
(*.f64 (pow.f64 alpha -2) 4) |
(*.f64 -4 (neg.f64 (pow.f64 alpha -2))) |
(*.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (neg.f64 (pow.f64 alpha -2)) -4) |
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2) |
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) |
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) |
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2) |
(pow.f64 (/.f64 2 alpha) 2) |
(pow.f64 (/.f64 4 (*.f64 alpha alpha)) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3) |
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1) |
(pow.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) |
(neg.f64 (*.f64 (pow.f64 alpha -2) -4)) |
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 alpha alpha))))) |
(cbrt.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(exp.f64 (log.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 alpha alpha)))) |
| Outputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(fma.f64 (pow.f64 alpha -2) -4 (+.f64 (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(fma.f64 (pow.f64 alpha -2) -4 (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 2 alpha) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(fma.f64 (pow.f64 alpha -2) -4 (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (/.f64 -2 alpha) (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -4 (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (fma.f64 (pow.f64 alpha -2) -4 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 4 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (+.f64 (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (*.f64 (pow.f64 alpha -2) -4) 1 (/.f64 4 (*.f64 alpha alpha))))) |
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(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 4 alpha) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) |
(*.f64 (/.f64 2 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 2 (cbrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 4 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2) |
(/.f64 4 (*.f64 alpha alpha)) |
(pow.f64 (/.f64 2 alpha) 2) |
(/.f64 4 (*.f64 alpha alpha)) |
(pow.f64 (/.f64 4 (*.f64 alpha alpha)) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3) |
(/.f64 4 (*.f64 alpha alpha)) |
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1) |
(/.f64 4 (*.f64 alpha alpha)) |
(pow.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 alpha -2) 3) 64)) |
(neg.f64 (*.f64 (pow.f64 alpha -2) -4)) |
(*.f64 4 (pow.f64 alpha -2)) |
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(*.f64 (pow.f64 alpha -2) (log.f64 (exp.f64 4))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 alpha alpha))))) |
(/.f64 4 (*.f64 alpha alpha)) |
(cbrt.f64 (*.f64 64 (pow.f64 (pow.f64 alpha -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 alpha -2) 3) 64)) |
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(exp.f64 (log.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 4 (*.f64 alpha alpha)) |
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 4 (*.f64 alpha alpha)) |
Compiled 23842 to 16664 computations (30.1% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 866 | 2 | 868 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 868 | 15 | 883 |
| Status | Error | Program |
|---|---|---|
| ▶ | 49.6b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
| 56.2b | (/.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (/.f64 alpha (/.f64 4 alpha))) 2) | |
| 44.9b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| ▶ | 48.5b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 45.9b | (/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) |
| 45.9b | (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) | |
| ✓ | 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 31.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 32.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 17.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 49.4b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| ✓ | 24.9b | (/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
| ✓ | 33.8b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 41.0b | (/.f64 2 2) |
| ✓ | 31.8b | (/.f64 1 2) |
Compiled 437 to 326 computations (25.4% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 2 alpha) 2) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | -inf | (/.f64 (/.f64 2 alpha) 2) |
| 0.0ms | alpha | @ | 0 | (/.f64 (/.f64 2 alpha) 2) |
| 0.0ms | alpha | @ | inf | (/.f64 (/.f64 2 alpha) 2) |
| 1× | batch-egg-rewrite |
| 1304× | add-sqr-sqrt |
| 1278× | *-un-lft-identity |
| 1202× | add-cube-cbrt |
| 1192× | add-cbrt-cube |
| 1180× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 135 | 7 |
| 2 | 1707 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 2 alpha) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 2 alpha) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 2 alpha) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 alpha) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 alpha -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 alpha) 2))))))) |
| 1× | egg-herbie |
| 1438× | associate-/r/ |
| 906× | associate-*r* |
| 672× | associate-*l* |
| 540× | distribute-lft-in |
| 530× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 269 |
| 1 | 155 | 269 |
| 2 | 445 | 263 |
| 3 | 2754 | 263 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(-.f64 (+.f64 1 (/.f64 (/.f64 2 alpha) 2)) 1) |
(*.f64 2 (*.f64 (/.f64 (/.f64 2 alpha) 2) 1/2)) |
(*.f64 2 (/.f64 1 (*.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) 1/2) |
(*.f64 (/.f64 (/.f64 2 alpha) 2) 1) |
(*.f64 1 (/.f64 (/.f64 2 alpha) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2)) |
(*.f64 1/2 (/.f64 2 alpha)) |
(*.f64 (/.f64 -2 alpha) -1/2) |
(pow.f64 alpha -1) |
(pow.f64 (/.f64 (/.f64 2 alpha) 2) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3) 1/3) |
(neg.f64 (/.f64 (/.f64 2 alpha) -2)) |
(sqrt.f64 (/.f64 1 (*.f64 alpha alpha))) |
(log.f64 (exp.f64 (/.f64 (/.f64 2 alpha) 2))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 alpha) 2))) |
(exp.f64 (neg.f64 (log.f64 alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 alpha) 2))) |
| Outputs |
|---|
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(/.f64 1 alpha) |
(-.f64 (+.f64 1 (/.f64 (/.f64 2 alpha) 2)) 1) |
(/.f64 1 alpha) |
(*.f64 2 (*.f64 (/.f64 (/.f64 2 alpha) 2) 1/2)) |
(/.f64 1 alpha) |
(*.f64 2 (/.f64 1 (*.f64 2 alpha))) |
(/.f64 1 alpha) |
(*.f64 (/.f64 2 alpha) 1/2) |
(/.f64 1 alpha) |
(*.f64 (/.f64 (/.f64 2 alpha) 2) 1) |
(/.f64 1 alpha) |
(*.f64 1 (/.f64 (/.f64 2 alpha) 2)) |
(/.f64 1 alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 1 alpha) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) 1/2)) |
(/.f64 1 alpha) |
(*.f64 (/.f64 1 (cbrt.f64 alpha)) (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2)) |
(/.f64 1 alpha) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 alpha)) 2) (/.f64 1 (cbrt.f64 alpha))) |
(/.f64 1 alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) 1/2)) |
(/.f64 1 alpha) |
(*.f64 1/2 (/.f64 2 alpha)) |
(/.f64 1 alpha) |
(*.f64 (/.f64 -2 alpha) -1/2) |
(/.f64 1 alpha) |
(pow.f64 alpha -1) |
(/.f64 1 alpha) |
(pow.f64 (/.f64 (/.f64 2 alpha) 2) 1) |
(/.f64 1 alpha) |
(pow.f64 (/.f64 1 (sqrt.f64 alpha)) 2) |
(/.f64 1 alpha) |
(pow.f64 (/.f64 1 (cbrt.f64 alpha)) 3) |
(/.f64 1 alpha) |
(pow.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3) 1/3) |
(/.f64 1 alpha) |
(neg.f64 (/.f64 (/.f64 2 alpha) -2)) |
(/.f64 1 alpha) |
(sqrt.f64 (/.f64 1 (*.f64 alpha alpha))) |
(sqrt.f64 (/.f64 (/.f64 1 alpha) alpha)) |
(sqrt.f64 (pow.f64 alpha -2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 2 alpha) 2))) |
(/.f64 1 alpha) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 alpha) 2) 3)) |
(/.f64 1 alpha) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 alpha) 2))) |
(/.f64 1 alpha) |
(exp.f64 (neg.f64 (log.f64 alpha))) |
(/.f64 1 alpha) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 alpha) 2))) |
(/.f64 1 alpha) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
Compiled 29 to 22 computations (24.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | -inf | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 0.0ms | alpha | @ | 0 | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 1× | batch-egg-rewrite |
| 1420× | associate-*l/ |
| 1300× | associate-/r* |
| 990× | associate-/l* |
| 840× | *-commutative |
| 428× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 185 | 19 |
| 2 | 2508 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (sqrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (sqrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) alpha) (cbrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2))) (cbrt.f64 (-.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (-.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (-.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (-.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 8 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3))) (+.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (-.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))))) |
| 1× | egg-herbie |
| 1148× | associate-*r/ |
| 782× | associate-*l/ |
| 702× | distribute-lft-in |
| 694× | associate-/l* |
| 672× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 1755 |
| 1 | 422 | 1709 |
| 2 | 1570 | 1705 |
| 3 | 7108 | 1705 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha))) |
(+.f64 (/.f64 2 alpha) (*.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(+.f64 (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha)) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha)) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha))) |
(*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) |
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) alpha) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2))) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(*.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (-.f64 2 (/.f64 4 alpha))) |
(*.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (-.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (-.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 8 alpha))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3))) (+.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (-.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 4)))) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1) |
(neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
| Outputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (/.f64 2 alpha) (*.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) 1)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (*.f64 (/.f64 1 alpha) (/.f64 -4 alpha)) (/.f64 2 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (-.f64 2 (/.f64 4 alpha)) (/.f64 1 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 alpha) (-.f64 2 (/.f64 4 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 2 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (sqrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) 1)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (-.f64 2 (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) 1)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (sqrt.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2) alpha) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 4 alpha))) 2))) (cbrt.f64 (-.f64 2 (/.f64 4 alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (-.f64 2 (/.f64 4 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(*.f64 (/.f64 (*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 alpha)) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 4 (/.f64 -16 (*.f64 alpha alpha)))) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(*.f64 (/.f64 (+.f64 4 (/.f64 -16 (*.f64 alpha alpha))) (*.f64 (+.f64 8 (pow.f64 (/.f64 4 alpha) 3)) alpha)) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha)))) |
(*.f64 (/.f64 (+.f64 4 (/.f64 -16 (*.f64 alpha alpha))) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha))) alpha)) |
(*.f64 (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha))) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (/.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) alpha)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (-.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (-.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 8 alpha))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (-.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (-.f64 (+.f64 4 (/.f64 -16 (*.f64 alpha alpha))) (/.f64 8 alpha))) |
(*.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (*.f64 (-.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) alpha)) (+.f64 (/.f64 -16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 -8 alpha)))) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) alpha) (fma.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 -16 (*.f64 alpha alpha)) (/.f64 -8 alpha)) 16)) (+.f64 4 (+.f64 (/.f64 -16 (*.f64 alpha alpha)) (/.f64 -8 alpha)))) |
(*.f64 (/.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) alpha) (fma.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 -16 (*.f64 alpha alpha)) (/.f64 -8 alpha)) 16)) (-.f64 (-.f64 4 (/.f64 8 alpha)) (/.f64 16 (*.f64 alpha alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3))) (+.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (-.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 4)))) |
(*.f64 (/.f64 (/.f64 1 alpha) (/.f64 (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3)) (-.f64 8 (/.f64 64 (pow.f64 alpha 3))))) (+.f64 16 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 (/.f64 8 alpha) 4))))) |
(/.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) alpha) (/.f64 (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3)) (fma.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (+.f64 -4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) 16))) |
(/.f64 (*.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) alpha) (fma.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (-.f64 (/.f64 8 alpha) (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))) 16)) (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3))) |
(/.f64 (*.f64 (/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) alpha) (fma.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))) 16)) (+.f64 64 (pow.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)) 3))) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (/.f64 alpha (-.f64 2 (/.f64 4 alpha))) -1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(neg.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 4 (*.f64 alpha alpha)) | |
| ✓ | 0.3b | (/.f64 8 (pow.f64 alpha 3)) |
| 0.3b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) | |
| ✓ | 9.8b | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
Compiled 67 to 44 computations (34.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | 0 | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
| 0.0ms | alpha | @ | inf | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | -inf | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | -inf | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
| 1× | batch-egg-rewrite |
| 1006× | associate-/l* |
| 856× | associate-/r/ |
| 736× | associate-/l/ |
| 328× | add-sqr-sqrt |
| 320× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 56 |
| 1 | 336 | 46 |
| 2 | 4825 | 46 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 8 (pow.f64 alpha 3)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1348× | +-commutative |
| 1200× | associate-+r+ |
| 838× | associate-*r* |
| 678× | associate-*l* |
| 654× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 11586 |
| 1 | 1488 | 11254 |
| 2 | 7069 | 11254 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3)))) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8 (pow.f64 alpha 3)))) (-.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha -2) -4)))) |
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) 1) |
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(/.f64 (+.f64 (*.f64 8 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (pow.f64 alpha 6)) |
(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(/.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))) |
(/.f64 (+.f64 (pow.f64 alpha 3) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (*.f64 (*.f64 (pow.f64 alpha 3) 1/8) (pow.f64 alpha 3))) |
(/.f64 (+.f64 (*.f64 -8 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(/.f64 (+.f64 (*.f64 -8 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))) |
(/.f64 (+.f64 (*.f64 -8 (pow.f64 alpha 3)) (*.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)))) (*.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 alpha 3))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))) (pow.f64 alpha 3)) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 8)) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (pow.f64 alpha 3))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))) (*.f64 (pow.f64 alpha 3) 1/8)) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1)) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (*.f64 (pow.f64 alpha 3) 1/8))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3))) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) -8)) (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))) (pow.f64 alpha 3)) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 8)) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha 3))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))) (*.f64 (pow.f64 alpha 3) 1/8)) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 1)) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (pow.f64 alpha 3) 1/8))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 64 (pow.f64 alpha 6))) (neg.f64 (pow.f64 alpha 3))) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) -8)) (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)) (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha 3) 8)) (pow.f64 alpha 6)) |
(/.f64 (+.f64 (pow.f64 alpha 3) (*.f64 (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)) (*.f64 (pow.f64 alpha 3) 1/8))) (*.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 alpha 3) 1/8))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 alpha 4)) (neg.f64 (pow.f64 alpha 3))) (*.f64 (pow.f64 alpha 3) -8)) (*.f64 (pow.f64 alpha 3) (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2))) (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 3))) (neg.f64 (+.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))))))) |
(pow.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(fma.f64 1 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(fma.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(fma.f64 (sqrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (sqrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3))) |
(fma.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) (cbrt.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8 (pow.f64 alpha 3)))) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 (/.f64 1 alpha) 3)) |
(*.f64 (/.f64 8 (pow.f64 alpha 3)) 1) |
(*.f64 2 (*.f64 (/.f64 1 alpha) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(*.f64 1 (/.f64 8 (pow.f64 alpha 3))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 1 alpha) (/.f64 8 (*.f64 alpha alpha))) |
(*.f64 (pow.f64 alpha -3) 8) |
(*.f64 (pow.f64 alpha -2) (/.f64 8 alpha)) |
(*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (/.f64 1 alpha)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (/.f64 1 (pow.f64 alpha 3/2)) (/.f64 8 (pow.f64 alpha 3/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 alpha 3))) -8) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) alpha) 2) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) 1) (/.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 2 alpha) alpha) (/.f64 4 alpha)) |
(*.f64 (/.f64 (/.f64 2 alpha) 1) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) |
(*.f64 (/.f64 (/.f64 2 alpha) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha (neg.f64 alpha))) -4) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (neg.f64 alpha)) -2) |
(pow.f64 (/.f64 8 (pow.f64 alpha 3)) 1) |
(pow.f64 (/.f64 2 alpha) 3) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(pow.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) 1/3) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8 (pow.f64 alpha 3))))) |
(cbrt.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 8 (pow.f64 alpha 3)))) |
(exp.f64 (log.f64 (/.f64 8 (pow.f64 alpha 3)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8 (pow.f64 alpha 3))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 8 (pow.f64 alpha 3)))) |
| Outputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) |
(fma.f64 8 (pow.f64 alpha -3) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 8 (pow.f64 alpha 3)))) (-.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha -2) -4)))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha -2) -4))) |
(+.f64 (fma.f64 (pow.f64 alpha -2) -4 (/.f64 8 (pow.f64 alpha 3))) (expm1.f64 (log1p.f64 (/.f64 2 alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (-.f64 (expm1.f64 (log1p.f64 (/.f64 2 alpha))) (/.f64 (/.f64 4 alpha) alpha)) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (expm1.f64 (log1p.f64 (/.f64 2 alpha))) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) 1) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) (-.f64 1 (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha))))) |
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)) (+.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2)) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)))) |
(-.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (pow.f64 alpha -2))) (-.f64 (/.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 (-.f64 (*.f64 (/.f64 4 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (pow.f64 alpha -2)) (/.f64 16 (*.f64 (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (pow.f64 alpha 4)))) (/.f64 8 (pow.f64 alpha 3))) |
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(-.f64 (/.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) (-.f64 (/.f64 64 (*.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 alpha 6))) (/.f64 8 (pow.f64 alpha 3)))) |
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(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) |
(*.f64 (/.f64 2 alpha) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 (/.f64 1 (pow.f64 alpha 3/2)) (/.f64 8 (pow.f64 alpha 3/2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 alpha 3))) -8) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) alpha) 2) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) 1) (/.f64 2 alpha)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (/.f64 2 alpha) alpha) (/.f64 4 alpha)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (/.f64 2 alpha) 1) (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (/.f64 2 alpha) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (pow.f64 alpha 4)) alpha)) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 8 (*.f64 alpha (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha (neg.f64 alpha))) -4) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) |
(*.f64 (/.f64 4 (/.f64 (sqrt.f64 alpha) (pow.f64 alpha -2))) (/.f64 2 (sqrt.f64 alpha))) |
(/.f64 (/.f64 8 (/.f64 (sqrt.f64 alpha) (pow.f64 alpha -2))) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) |
(/.f64 (/.f64 8 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 alpha -2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (neg.f64 alpha)) -2) |
(*.f64 -2 (/.f64 4 (/.f64 (neg.f64 alpha) (pow.f64 alpha -2)))) |
(/.f64 -8 (/.f64 (neg.f64 alpha) (pow.f64 alpha -2))) |
(pow.f64 (/.f64 8 (pow.f64 alpha 3)) 1) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (/.f64 2 alpha) 3) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) 1/3) |
(cbrt.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3))) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8 (pow.f64 alpha 3))))) |
(/.f64 8 (pow.f64 alpha 3)) |
(cbrt.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 8 (pow.f64 alpha 3)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(exp.f64 (log.f64 (/.f64 8 (pow.f64 alpha 3)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 8 (pow.f64 alpha 3))) 1)) |
(/.f64 8 (pow.f64 alpha 3)) |
(log1p.f64 (expm1.f64 (/.f64 8 (pow.f64 alpha 3)))) |
(/.f64 8 (pow.f64 alpha 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.5b | (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) |
| ✓ | 7.3b | (/.f64 (*.f64 alpha alpha) beta) |
| ✓ | 10.9b | (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 13.8b | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
Compiled 261 to 155 computations (40.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | alpha | @ | 0 | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
| 1.0ms | beta | @ | 0 | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
| 1.0ms | alpha | @ | inf | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
| 1.0ms | beta | @ | -inf | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
| 1.0ms | beta | @ | inf | (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
| 1× | batch-egg-rewrite |
| 628× | add-sqr-sqrt |
| 612× | pow1 |
| 612× | *-un-lft-identity |
| 582× | add-exp-log |
| 582× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 222 |
| 1 | 621 | 222 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
(fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (*.f64 alpha alpha) beta) |
(/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) |
| Outputs |
|---|
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((x cbrt.f64 (*.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))))))) |
| 1× | egg-herbie |
| 1074× | associate-+l+ |
| 970× | associate-/r/ |
| 910× | associate-+r+ |
| 702× | +-commutative |
| 654× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 16348 |
| 1 | 1156 | 15172 |
| 2 | 4498 | 14872 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.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 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 2)) |
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(*.f64 (/.f64 alpha (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta))) |
(*.f64 (cbrt.f64 (pow.f64 alpha 4)) (*.f64 (cbrt.f64 (*.f64 alpha alpha)) (/.f64 1 beta))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 alpha alpha) beta)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) beta) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) beta) 2)) (cbrt.f64 (/.f64 (*.f64 alpha alpha) beta))) |
(*.f64 (/.f64 1 beta) (*.f64 alpha alpha)) |
(*.f64 (neg.f64 (*.f64 alpha alpha)) (/.f64 1 (neg.f64 beta))) |
(*.f64 (/.f64 alpha 1) (/.f64 alpha beta)) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (*.f64 alpha alpha) (sqrt.f64 beta))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 beta beta))) (/.f64 (*.f64 alpha alpha) (cbrt.f64 beta))) |
(*.f64 (/.f64 alpha beta) alpha) |
(*.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) beta) 1/2) (pow.f64 (/.f64 (*.f64 alpha alpha) beta) 1/2)) |
(*.f64 (/.f64 alpha (cbrt.f64 (*.f64 beta beta))) (/.f64 alpha (cbrt.f64 beta))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha 4)) 1) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha 4)) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (sqrt.f64 beta))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 beta beta))) (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 beta))) |
(pow.f64 (/.f64 (*.f64 alpha alpha) beta) 1) |
(neg.f64 (/.f64 (*.f64 alpha alpha) (neg.f64 beta))) |
(log.f64 (exp.f64 (/.f64 (*.f64 alpha alpha) beta))) |
(cbrt.f64 (*.f64 (/.f64 (*.f64 alpha alpha) beta) (pow.f64 (/.f64 (*.f64 alpha alpha) beta) 2))) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 alpha alpha) beta))) |
(exp.f64 (log.f64 (/.f64 (*.f64 alpha alpha) beta))) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 alpha alpha) beta))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1) |
(*.f64 1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)))) |
(*.f64 (sqrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (sqrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)))) |
(*.f64 (cbrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (cbrt.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2)) (cbrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta -2) alpha)) |
(*.f64 (/.f64 1 alpha) (/.f64 beta (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (/.f64 alpha (+.f64 beta -2)) (neg.f64 alpha)))) |
(*.f64 (*.f64 (/.f64 beta alpha) (+.f64 beta -2)) (/.f64 1 alpha)) |
(*.f64 (*.f64 (/.f64 beta alpha) 1) (/.f64 (+.f64 beta -2) alpha)) |
(*.f64 (*.f64 (/.f64 beta alpha) (sqrt.f64 (/.f64 (+.f64 beta -2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta -2) alpha))) |
(*.f64 (*.f64 (/.f64 beta alpha) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta -2) alpha) 2))) (cbrt.f64 (/.f64 (+.f64 beta -2) alpha))) |
(*.f64 (/.f64 beta 1) (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (/.f64 beta (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 beta (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (+.f64 2 (neg.f64 beta)) alpha)) |
(*.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1/2) (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1/2)) |
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) alpha) (/.f64 (cbrt.f64 beta) (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 beta) (/.f64 alpha (+.f64 beta -2))) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 alpha (+.f64 beta -2))) (/.f64 (cbrt.f64 beta) alpha)) |
(pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1) |
(neg.f64 (/.f64 beta (*.f64 (/.f64 alpha (+.f64 beta -2)) (neg.f64 alpha)))) |
(log.f64 (exp.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(cbrt.f64 (*.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2))) |
(expm1.f64 (log1p.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(exp.f64 (log.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(log1p.f64 (expm1.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (*.f64 alpha alpha))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 8 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 8 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) |
(*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.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 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 8 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha)))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 8 (*.f64 alpha alpha))) |
(fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) |
(*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 8 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 beta (-.f64 (-.f64 (/.f64 8 (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))) (/.f64 2 alpha)))) |
(-.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 8 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 beta (-.f64 (-.f64 (/.f64 8 (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))) (/.f64 2 alpha)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) (+.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 8 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 8 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 8 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (-.f64 (/.f64 -2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (*.f64 beta (-.f64 (-.f64 (/.f64 8 (*.f64 alpha alpha)) (/.f64 2 (*.f64 alpha alpha))) (/.f64 2 alpha)))) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) (+.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (/.f64 -4 (*.f64 alpha alpha)))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 -1 (*.f64 beta (-.f64 beta 2)))) (+.f64 (*.f64 -4 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4)) (pow.f64 beta 2))) (pow.f64 alpha 2)) |
(/.f64 (-.f64 (+.f64 4 (*.f64 (neg.f64 beta) (+.f64 beta -2))) (fma.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 beta beta))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (-.f64 4 (*.f64 beta (+.f64 beta -2))) (fma.f64 beta beta (*.f64 -4 (fma.f64 -1 (fma.f64 2 beta -2) -4)))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 4 (+.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 beta beta (*.f64 -4 (-.f64 -4 (fma.f64 2 beta -2)))))) (*.f64 alpha alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 (neg.f64 beta) (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) |
(-.f64 (-.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2))) (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha)) (fma.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha)) (*.f64 beta (/.f64 beta (*.f64 alpha alpha))))) |
(-.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) (/.f64 (-.f64 -4 (fma.f64 2 beta -2)) alpha))) (fma.f64 -4 (/.f64 (-.f64 -4 (fma.f64 2 beta -2)) (*.f64 alpha alpha)) (*.f64 beta (/.f64 beta (*.f64 alpha alpha))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) |
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(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 (cbrt.f64 beta) alpha))) |
(*.f64 (cbrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (cbrt.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2)) (cbrt.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) 2))) |
(*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta -2) alpha)) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 1 alpha) (/.f64 beta (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) beta) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (*.f64 (/.f64 alpha (+.f64 beta -2)) (neg.f64 alpha)))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (*.f64 (/.f64 beta alpha) (+.f64 beta -2)) (/.f64 1 alpha)) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (*.f64 (/.f64 beta alpha) 1) (/.f64 (+.f64 beta -2) alpha)) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (*.f64 (/.f64 beta alpha) (sqrt.f64 (/.f64 (+.f64 beta -2) alpha))) (sqrt.f64 (/.f64 (+.f64 beta -2) alpha))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (*.f64 (/.f64 beta alpha) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta -2) alpha) 2))) (cbrt.f64 (/.f64 (+.f64 beta -2) alpha))) |
(*.f64 (/.f64 beta alpha) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta -2) alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 (/.f64 beta 1) (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (/.f64 beta (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha))) (/.f64 beta (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha)))) |
(/.f64 (/.f64 beta (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(/.f64 (/.f64 beta (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 beta (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha) 2))) (/.f64 beta (cbrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha)))) |
(/.f64 (/.f64 beta (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) |
(/.f64 (/.f64 beta (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) (cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))) 2))) |
(*.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (+.f64 2 (neg.f64 beta)) alpha)) |
(*.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (-.f64 2 beta) alpha)) |
(*.f64 (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1/2) (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1/2)) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) alpha) (/.f64 (cbrt.f64 beta) (/.f64 alpha (+.f64 beta -2)))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) (cbrt.f64 beta))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 (cbrt.f64 beta) alpha))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) (cbrt.f64 beta))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 (cbrt.f64 beta) alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) (/.f64 alpha (+.f64 beta -2))) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha) 2))) (/.f64 beta (cbrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha)))) |
(/.f64 (/.f64 beta (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) |
(/.f64 (/.f64 beta (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) (cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha)))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) (/.f64 (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2)))) (cbrt.f64 beta))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 (pow.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (*.f64 (/.f64 alpha (+.f64 beta -2)) alpha)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 beta beta)) (cbrt.f64 beta)) (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))))) (cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 beta -2))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 alpha (+.f64 beta -2))) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) (*.f64 alpha alpha)) (cbrt.f64 beta))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 (cbrt.f64 beta) alpha))) |
(pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 1) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(neg.f64 (/.f64 beta (*.f64 (/.f64 alpha (+.f64 beta -2)) (neg.f64 alpha)))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(log.f64 (exp.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(cbrt.f64 (*.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (pow.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) 2))) |
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) (pow.f64 (*.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) 2))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(exp.f64 (log.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))))) |
(*.f64 beta (/.f64 (+.f64 beta -2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta -2)) |
Compiled 39876 to 27339 computations (31.4% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 3 | 966 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 9 | 11 |
| Total | 967 | 14 | 981 |
| Status | Error | Program |
|---|---|---|
| ✓ | 49.6b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
| 56.2b | (/.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (/.f64 alpha (/.f64 4 alpha))) 2) | |
| 44.9b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| 59.2b | (/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) 2) | |
| ✓ | 45.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 31.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 32.6b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 17.6b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 49.4b | (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| ✓ | 24.9b | (/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
| ✓ | 33.8b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 41.0b | (/.f64 2 2) |
| 48.5b | (/.f64 1 alpha) | |
| ✓ | 31.8b | (/.f64 1 2) |
Compiled 172 to 137 computations (20.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (/.f64 alpha (/.f64 4 alpha))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) 2) |
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2) |
(/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 35.0ms | beta |
| 25.0ms | alpha |
| 14.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | alpha |
| 15.5b | 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 522 to 369 computations (29.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999234687764 | -1.4377604539579708e-5 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (/.f64 alpha (/.f64 4 alpha))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) alpha)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -4 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 2 beta) 2)) 4) (pow.f64 alpha 2))))) 2) |
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 36.0ms | beta |
| 23.0ms | alpha |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.3b | 2 | alpha |
| 15.5b | 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 471 to 338 computations (28.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999234687764 | -1.4377604539579708e-5 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (/.f64 alpha (/.f64 4 alpha))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 (*.f64 beta beta) -4)) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 2 alpha) (*.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (-.f64 (*.f64 (/.f64 -2 alpha) (*.f64 beta (/.f64 beta alpha))) (*.f64 beta (-.f64 0 (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 (*.f64 alpha alpha)) -6))))) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 67.0ms | beta |
| 20.0ms | 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 |
|---|---|---|
| 2.3b | 2 | alpha |
| 15.5b | 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 308 to 220 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999998171545 | -0.9999999234687764 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 28.0ms | beta |
| 14.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 3.0b | 2 | alpha |
| 15.8b | 3 | beta |
Compiled 95 to 77 computations (18.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 60064107651.60316 | 1959128159167767.3 |
| 13.0ms | 128× | body | 256 | valid |
Compiled 212 to 175 computations (17.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 1 alpha) |
2 calls:
| 12.0ms | alpha |
| 7.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 6.9b | 2 | alpha |
| 17.6b | 1 | beta |
Compiled 66 to 55 computations (16.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 60064107651.60316 | 1959128159167767.3 |
| 13.0ms | 128× | body | 256 | valid |
Compiled 164 to 135 computations (17.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 2 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 1 alpha) |
2 calls:
| 19.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 4 | alpha |
| 17.9b | 2 | beta |
Compiled 48 to 41 computations (14.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 72.0ms | 2.875562251612824e-5 | 26133122.580946982 |
| 5.0ms | 1.6912773273968788e-182 | 2.184009903262821e-182 |
| 17.0ms | 2.796047515824258e-220 | 7.079939668331488e-217 |
| 90.0ms | 336× | body | 256 | valid |
Compiled 356 to 320 computations (10.1% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 19.0ms | alpha |
| 14.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 4 | alpha |
| 18.1b | 2 | beta |
Compiled 34 to 29 computations (14.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.48731694356656086 | 26.026458107165364 |
| 13.0ms | 81× | body | 256 | valid |
| 5.0ms | 20× | body | 1024 | valid |
| 1.0ms | 8× | body | 512 | valid |
| 1.0ms | 3× | body | 2048 | valid |
Compiled 132 to 120 computations (9.1% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 1 2) |
(/.f64 1 alpha) |
2 calls:
| 18.0ms | alpha |
| 11.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 4 | alpha |
| 18.5b | 2 | beta |
Compiled 27 to 23 computations (14.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.875562251612824e-5 | 26133122.580946982 |
| 5.0ms | 1.6912773273968788e-182 | 2.184009903262821e-182 |
| 48.0ms | 2.796047515824258e-220 | 7.079939668331488e-217 |
| 70.0ms | 336× | body | 256 | valid |
Compiled 272 to 257 computations (5.5% saved)
Total -42.2b remaining (-219.7%)
Threshold costs -42.2b (-219.7%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 1 alpha) |
2 calls:
| 6.0ms | alpha |
| 3.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 2 | alpha |
| 31.8b | 1 | beta |
Compiled 14 to 11 computations (21.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.875562251612824e-5 | 26133122.580946982 |
| 18.0ms | 160× | body | 256 | valid |
Compiled 140 to 125 computations (10.7% saved)
| 1× | egg-herbie |
| 96× | *-commutative |
| 88× | +-commutative |
| 62× | distribute-lft-neg-in |
| 54× | neg-sub0 |
| 44× | distribute-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 798 |
| 1 | 140 | 794 |
| 2 | 172 | 794 |
| 3 | 212 | 794 |
| 4 | 247 | 794 |
| 5 | 286 | 794 |
| 6 | 328 | 794 |
| 7 | 366 | 794 |
| 8 | 394 | 794 |
| 9 | 405 | 794 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 260000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 64000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 alpha)) |
(if (<=.f64 alpha 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (/.f64 2 2) (if (<=.f64 alpha 1080863910568919/1125899906842624) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 1 alpha)))) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 alpha 8197295527347743/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (/.f64 1 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (/.f64 2 2) (if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 1 2) (/.f64 1 alpha)))) |
(if (<=.f64 alpha 7475975381435023/4503599627370496) (/.f64 1 2) (/.f64 1 alpha)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha 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)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)) (*.f64 -4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (-.f64 (*.f64 4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha)))) (-.f64 (*.f64 4 (/.f64 (fma.f64 -1 (fma.f64 2 beta -2) -4) (*.f64 alpha alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (/.f64 4 alpha) (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))))) (fma.f64 4 (/.f64 (+.f64 4 (neg.f64 (*.f64 -1 (+.f64 beta (+.f64 beta -2))))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 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)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 4 alpha))) (fma.f64 4 (/.f64 (-.f64 4 (neg.f64 (+.f64 beta (+.f64 beta -2)))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 4 alpha))) (fma.f64 4 (/.f64 (+.f64 4 (+.f64 beta (+.f64 beta -2))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (-.f64 (fma.f64 -1 (/.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 beta -2)))) (+.f64 (fma.f64 -1 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 beta -2) alpha))) (/.f64 4 (*.f64 alpha alpha))) (/.f64 4 alpha))) (fma.f64 4 (/.f64 (+.f64 4 (+.f64 beta (+.f64 beta -2))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198804381029/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)) |
(if (<=.f64 alpha 260000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 260000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 64000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 alpha)) |
(if (<=.f64 alpha 64000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 1 alpha)) |
(if (<=.f64 alpha 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (/.f64 2 2) (if (<=.f64 alpha 1080863910568919/1125899906842624) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 1 alpha)))) |
(if (<=.f64 alpha 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) 1 (if (<=.f64 alpha 1080863910568919/1125899906842624) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 1 alpha)))) |
(if (<=.f64 alpha 4347050658441985/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) 1 (if (<=.f64 alpha 1080863910568919/1125899906842624) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (/.f64 1 alpha)))) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1) |
(if (<=.f64 alpha 8197295527347743/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (/.f64 1 2) (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (/.f64 2 2) (if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 1 2) (/.f64 1 alpha)))) |
(if (<=.f64 alpha 8197295527347743/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) 1/2 (if (<=.f64 alpha 5083069841380299/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) 1 (if (<=.f64 alpha 4278419646001971/2251799813685248) 1/2 (/.f64 1 alpha)))) |
(if (<=.f64 alpha 7475975381435023/4503599627370496) (/.f64 1 2) (/.f64 1 alpha)) |
(if (<=.f64 alpha 7475975381435023/4503599627370496) 1/2 (/.f64 1 alpha)) |
(/.f64 1 2) |
1/2 |
Compiled 316 to 227 computations (28.2% saved)
| 2× | egg-herbie |
| 1380× | +-commutative |
| 1364× | associate-/l* |
| 982× | associate-/l* |
| 948× | associate-+r+ |
| 900× | associate-+l+ |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 0 | 1142 | 35834 |
| 1 | 3924 | 35604 |
| 1× | node limit |
| 1× | node limit |
Compiled 89 to 70 computations (21.3% saved)
Compiled 298 to 200 computations (32.9% saved)
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