Time bar (total: 7.0s)
| 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)
| 1.2s | 6463× | body | 256 | valid |
| 351.0ms | 1075× | body | 1024 | valid |
| 146.0ms | 613× | body | 512 | valid |
| 36.0ms | 105× | 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 |
|---|---|---|
| ▶ | 23.39% | (/.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 |
|---|---|---|
| ✓ | 0.02% | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 2.69% | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 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 | @ | 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 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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| 1× | egg-herbie |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 734× | *-commutative |
| 724× | +-commutative |
| 570× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 12724 |
| 1 | 2161 | 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 beta (+.f64 alpha 2))) 1) 0) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.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 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 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 beta (+.f64 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 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.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) |
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 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 (+.f64 alpha 1) 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 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) (/.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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (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 (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 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))))) |
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(+.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) |
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(-.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))))) |
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(+.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 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 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 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
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(*.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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.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 1 (/.f64 2 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)) (+.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 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.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))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 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)))) |
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 (*.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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.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 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
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(-.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) |
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(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) 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 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 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 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (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 beta beta) (*.f64 alpha alpha)) (*.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))) (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 beta (+.f64 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 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 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 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 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 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 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 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 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 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 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)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 12222 to 7914 computations (35.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 8 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 9 | 355 |
| Status | Error | Program |
|---|---|---|
| 73% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| ▶ | 76.25% | (/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2) |
| ▶ | 46.14% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 23.39% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 24.22% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 72.95% | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| 96.38% | (/.f64 (+.f64 -1 1) 2) | |
| 76.27% | (/.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) | |
| ▶ | 64.42% | (/.f64 2 2) |
Compiled 261 to 203 computations (22.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| ✓ | 0.02% | (/.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 |
|---|---|---|
| ✓ | 0.01% | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 2.89% | (-.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 |
| 1420× | associate-/r/ |
| 826× | associate-+l+ |
| 686× | associate-+r+ |
| 600× | +-commutative |
| 492× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 7727 |
| 1 | 1123 | 6943 |
| 2 | 4260 | 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 -2 alpha)))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.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 -2 alpha)))) |
(*.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 -2 alpha))))) |
(/.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 -2 alpha)))) (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 -2 alpha)))) (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 -2 alpha)))) 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 -2 alpha)))) 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 -2 alpha))))) (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 -2 alpha))))) (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 -2 alpha)))) 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 -2 alpha)))) 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 -2 alpha))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 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 -2 alpha))))) |
(+.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 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
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(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
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(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(+.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))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
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(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
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(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
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(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
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(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
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(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
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(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
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(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
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(/.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))))) |
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(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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
Compiled 54 to 42 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1× | batch-egg-rewrite |
| 1958× | add-sqr-sqrt |
| 1936× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1796× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 176 | 15 |
| 2 | 2351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) |
| 1× | egg-herbie |
| 990× | associate-+r+ |
| 780× | associate-+l+ |
| 766× | *-commutative |
| 580× | associate-*r/ |
| 396× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 972 |
| 1 | 217 | 960 |
| 2 | 841 | 732 |
| 3 | 3780 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
| Outputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 beta) alpha) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 beta) alpha) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2)) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta))) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2)) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta))) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (pow.f64 (cbrt.f64 beta) 2)) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.54% | (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
| ✓ | 5.08% | (-.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)))) |
| ✓ | 5.47% | (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
| ✓ | 12.56% | (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) |
Compiled 141 to 80 computations (43.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | -inf | (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
| 2.0ms | alpha | @ | 0 | (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
| 1.0ms | alpha | @ | 0 | (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
| 1.0ms | beta | @ | 0 | (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
| 1.0ms | alpha | @ | 0 | (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) |
| 1× | batch-egg-rewrite |
| 1178× | associate-/l/ |
| 426× | add-sqr-sqrt |
| 416× | *-un-lft-identity |
| 414× | pow1 |
| 394× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 186 |
| 1 | 415 | 168 |
| 2 | 6121 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) |
(fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (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 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))))))) |
| 1× | egg-herbie |
| 1090× | associate-+l+ |
| 788× | associate-*r* |
| 784× | associate-+r+ |
| 756× | associate-*l* |
| 672× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 599 | 24944 |
| 1 | 1756 | 22338 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta (pow.f64 alpha 2))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.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 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 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 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 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 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 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(/.f64 4 (pow.f64 alpha 2)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 4 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 4 (/.f64 beta (pow.f64 alpha 2))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) |
(+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 2 (*.f64 beta (pow.f64 alpha -2)))) |
(+.f64 (*.f64 (*.f64 beta (pow.f64 alpha -2)) beta) (*.f64 (*.f64 beta (pow.f64 alpha -2)) 2)) |
(+.f64 (*.f64 (*.f64 beta (pow.f64 alpha -2)) 2) (*.f64 (*.f64 beta (pow.f64 alpha -2)) beta)) |
(+.f64 (*.f64 2 (*.f64 beta (pow.f64 alpha -2))) (pow.f64 (/.f64 beta alpha) 2)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (*.f64 beta (pow.f64 alpha -2))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) 2) (*.f64 (*.f64 (+.f64 beta 2) (*.f64 beta (pow.f64 alpha -2))) (+.f64 (*.f64 (+.f64 beta 2) (*.f64 beta (pow.f64 alpha -2))) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))))))) |
(pow.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) 1) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta)))) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta)))))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))))) |
(fma.f64 1 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) |
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) 2) (cbrt.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) (/.f64 2 alpha)))) (*.f64 (*.f64 beta (pow.f64 alpha -2)) (-.f64 -2 beta))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) 1) |
(*.f64 (+.f64 beta 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1) |
(*.f64 1 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 alpha -2))) |
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 beta 2) 2)) |
(*.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) |
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (*.f64 alpha (neg.f64 alpha)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(pow.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) -1) |
(neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (neg.f64 alpha)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (*.f64 alpha alpha) 3))) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
| Outputs |
|---|
(*.f64 2 (/.f64 beta (pow.f64 alpha 2))) |
(/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) |
(*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 beta alpha) 2) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) |
(/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 beta alpha) 2) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 (/.f64 2 alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) |
(/.f64 beta (*.f64 alpha (/.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 2 beta))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2))) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2))) (/.f64 -4 (*.f64 alpha alpha))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(neg.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(neg.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))) |
(-.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (pow.f64 (/.f64 beta alpha) 2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2))) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2))) (/.f64 -4 (*.f64 alpha alpha))) |
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(neg.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(neg.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) |
(*.f64 -1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) |
(-.f64 (neg.f64 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (-.f64 (/.f64 2 alpha) (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) (/.f64 -4 (*.f64 alpha alpha))) |
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha)) |
(neg.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) |
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(*.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 1 alpha) (neg.f64 alpha))) |
(neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (*.f64 alpha alpha)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (cbrt.f64 (pow.f64 alpha 4)))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 1) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 3) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3) 1/3) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(pow.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) -1) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (neg.f64 alpha)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (/.f64 1 alpha) (neg.f64 alpha))) |
(neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (*.f64 alpha alpha)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2) 3)) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (*.f64 alpha alpha) 3))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2)) 1)) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 beta 2) alpha) 2))) |
(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (+.f64 2 beta) alpha) 2) |
Compiled 26593 to 18912 computations (28.9% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 9 | 835 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 830 | 14 | 844 |
| Status | Error | Program |
|---|---|---|
| 96.5% | (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 6) (pow.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) 6)) (*.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 2) (*.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) (fma.f64 (+.f64 2 beta) (*.f64 beta (pow.f64 alpha -2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2))))) (+.f64 (pow.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) 3) (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 3)))) 2) | |
| ▶ | 73% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 77.48% | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 79.21% | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| 72.53% | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| ✓ | 46.14% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 47.68% | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 23.39% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 24.22% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 74.32% | (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| 48.83% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) | |
| 69.24% | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) | |
| ✓ | 64.42% | (/.f64 2 2) |
| ▶ | 45.87% | (/.f64 1 2) |
Compiled 484 to 368 computations (24% saved)
Compiled 7 to 7 computations (0% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1958× | add-sqr-sqrt |
| 1936× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1796× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 176 | 15 |
| 2 | 2351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 1000× | associate-+r+ |
| 782× | associate-+l+ |
| 750× | *-commutative |
| 578× | associate-*r/ |
| 400× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 972 |
| 1 | 214 | 960 |
| 2 | 838 | 732 |
| 3 | 3745 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 0.82% | (/.f64 4 (*.f64 alpha alpha)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 1354× | associate-/r* |
| 940× | *-commutative |
| 568× | 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 4 (*.f64 alpha alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)))) (#(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 (/.f64 4 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 1 (/.f64 (/.f64 4 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 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 4)))) (#(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 -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) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (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))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))))) (#(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 (/.f64 4 alpha) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 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 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 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 (/.f64 4 alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))))) |
((#(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 (/.f64 4 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 (/.f64 4 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 (/.f64 4 alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 (/.f64 4 alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (/.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)))))) |
| 1× | egg-herbie |
| 950× | associate-*r* |
| 902× | times-frac |
| 858× | associate-/r* |
| 848× | associate-/l* |
| 752× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 12528 |
| 1 | 1788 | 11564 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
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(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha)))) (neg.f64 (neg.f64 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (-.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3)))))) (-.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (/.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))) 3))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))) (-.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 3))) (/.f64 (/.f64 4 alpha) alpha))))) |
(*.f64 (+.f64 (/.f64 -2 alpha) 1) (/.f64 2 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) |
(/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (pow.f64 alpha 3)) |
(/.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4)))) (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4)))))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (sqrt.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))))) |
(/.f64 (sqrt.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))) (/.f64 (pow.f64 alpha 3) (sqrt.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4)))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))))) (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (cbrt.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))) (cbrt.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)))) (/.f64 (pow.f64 alpha 3) (cbrt.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (neg.f64 (/.f64 -16 (pow.f64 alpha 4)))) (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 -2 alpha)))) |
(/.f64 (*.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 1 (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2))) (*.f64 (*.f64 4 alpha) (*.f64 4 alpha))) (*.f64 (pow.f64 alpha 3) (*.f64 alpha (+.f64 (*.f64 alpha 2) 4)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (-.f64 1 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 (pow.f64 alpha -2) -4) 3)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (-.f64 (neg.f64 (/.f64 -16 (pow.f64 alpha 4))) (neg.f64 (/.f64 8 (pow.f64 alpha 3)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 alpha 2)) 3) (pow.f64 (*.f64 4 alpha) 3)) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2))) (*.f64 (*.f64 4 alpha) (*.f64 alpha (+.f64 (*.f64 alpha 2) 4)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3) (pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 3)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) (*.f64 alpha (*.f64 (/.f64 alpha 4) alpha))) |
(/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha 1/2))) |
(/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2))) |
(/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha (*.f64 alpha 1/2))) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 alpha -2) -4) (neg.f64 (/.f64 -16 (pow.f64 alpha 4)))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha))) |
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (neg.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) 1) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) 1) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha alpha)) alpha) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) 1) (pow.f64 alpha 3)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 alpha)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (*.f64 alpha alpha) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (sqrt.f64 alpha))) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) alpha) alpha) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 1) alpha) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) alpha) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) 1) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.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 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha))) |
(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) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 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)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) |
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3)))) |
(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))) |
(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 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
| Outputs |
|---|
(/.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)) |
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(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (sqrt.f64 (pow.f64 alpha 3)) (sqrt.f64 (pow.f64 alpha 3)))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (sqrt.f64 alpha))) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) alpha) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 1) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) alpha) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) 1) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 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 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) 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 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 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 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) 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 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (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 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 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 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (sqrt.f64 (*.f64 alpha (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))) |
(/.f64 (fma.f64 alpha -2 4) (*.f64 (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 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))))) |
(/.f64 (fma.f64 alpha -2 4) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (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 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 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 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(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) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4)))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha))) |
(/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha))) |
(neg.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3)))))) |
(/.f64 (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3)) (+.f64 (/.f64 -16 (pow.f64 alpha 4)) (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))) |
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3)))) |
(/.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)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) |
(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) |
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
Compiled 10435 to 7599 computations (27.2% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 3 | 430 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 429 | 15 | 444 |
| Status | Error | Program |
|---|---|---|
| ▶ | 79.21% | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
| ✓ | 73% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 77.48% | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 72.53% | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 46.14% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 47.68% | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 23.39% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 24.22% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 74.32% | (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| 73% | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| ▶ | 48.83% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 69.24% | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
| ▶ | 91.89% | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 64.42% | (/.f64 2 2) |
| ✓ | 45.87% | (/.f64 1 2) |
Compiled 256 to 206 computations (19.5% saved)
Compiled 21 to 17 computations (19% saved)
Compiled 20 to 10 computations (50% saved)
Compiled 19 to 15 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 2 (/.f64 4 alpha)) |
| ✓ | 0.15% | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | -inf | (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
| 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 | @ | 0 | (-.f64 2 (/.f64 4 alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 2 (/.f64 4 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 | 32 |
| 1 | 185 | 32 |
| 2 | 2508 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(-.f64 2 (/.f64 4 alpha)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (/.f64 (pow.f64 (/.f64 4 alpha) 3) (*.f64 alpha 1/4))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) (+.f64 4 (/.f64 16 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3)) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) (+.f64 16 (*.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 16 (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (pow.f64 (/.f64 4 alpha) 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 4 alpha) 3) 3)) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (+.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) 1) (+.f64 2 (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (sqrt.f64 (+.f64 2 (/.f64 4 alpha)))) (sqrt.f64 (+.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 4 alpha))) (cbrt.f64 (+.f64 2 (/.f64 4 alpha))))) (cbrt.f64 (+.f64 2 (/.f64 4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) 1) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -4 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -4 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -4 alpha)))))))) |
| 1× | egg-herbie |
| 1390× | distribute-lft-neg-out |
| 1146× | distribute-rgt-neg-out |
| 518× | associate-*r* |
| 474× | associate-*l* |
| 448× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 5498 |
| 1 | 942 | 5080 |
| 2 | 4693 | 5080 |
| 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 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(+.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))) |
(+.f64 2 (/.f64 -4 alpha)) |
(+.f64 (/.f64 -4 alpha) 2) |
(+.f64 (-.f64 2 (exp.f64 (log1p.f64 (/.f64 4 alpha)))) 1) |
(*.f64 (+.f64 2 (/.f64 -4 alpha)) 1) |
(*.f64 1 (+.f64 2 (/.f64 -4 alpha))) |
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))))) |
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha)))))) |
(*.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) |
(*.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2))) (neg.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))) |
(*.f64 -1 (+.f64 (/.f64 4 alpha) -2)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))) (neg.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)) (neg.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(*.f64 (/.f64 1 (+.f64 2 (/.f64 4 alpha))) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) |
(*.f64 (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) |
(*.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (+.f64 2 (/.f64 -4 alpha))) |
(*.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(*.f64 (/.f64 (-.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 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 (neg.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2))) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))))) (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2))) (cbrt.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) 1) |
(/.f64 1 (/.f64 1 (+.f64 2 (/.f64 -4 alpha)))) |
(/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(/.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (/.f64 1 (/.f64 1 (+.f64 2 (/.f64 4 alpha))))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (/.f64 1 (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))) |
(/.f64 (sqrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (/.f64 (+.f64 2 (/.f64 4 alpha)) (sqrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))))) |
(/.f64 (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (cbrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)))) (/.f64 (+.f64 2 (/.f64 4 alpha)) (cbrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)))) (/.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))))) |
(/.f64 (neg.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (neg.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (-.f64 16 (/.f64 (pow.f64 (/.f64 4 alpha) 3) (*.f64 alpha 1/4))) (*.f64 (+.f64 2 (/.f64 4 alpha)) (+.f64 4 (/.f64 16 (*.f64 alpha alpha))))) |
(/.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (pow.f64 (/.f64 4 alpha) 3))) (*.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3)))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (*.f64 (/.f64 -4 alpha) (-.f64 (/.f64 -4 alpha) 2)))) |
(/.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (*.f64 1 (+.f64 4 (*.f64 (/.f64 -4 alpha) (-.f64 (/.f64 -4 alpha) 2))))) |
(/.f64 (-.f64 64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3)) (*.f64 (+.f64 2 (/.f64 4 alpha)) (+.f64 16 (*.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 16 (*.f64 alpha alpha))))))) |
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 4 alpha) 3) 3)) (*.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))) (+.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) 1) (neg.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) 1) (neg.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) 1) (+.f64 4 (*.f64 (/.f64 -4 alpha) (-.f64 (/.f64 -4 alpha) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))) (sqrt.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (sqrt.f64 (+.f64 2 (/.f64 -4 alpha)))) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)) (cbrt.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (*.f64 (-.f64 16 (/.f64 (pow.f64 (/.f64 4 alpha) 3) (*.f64 alpha 1/4))) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) (+.f64 4 (/.f64 16 (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (-.f64 64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3)) (/.f64 1 (+.f64 2 (/.f64 4 alpha)))) (+.f64 16 (*.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 16 (*.f64 alpha alpha)))))) |
(/.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (pow.f64 (/.f64 4 alpha) 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))) |
(/.f64 (*.f64 (-.f64 512 (pow.f64 (pow.f64 (/.f64 4 alpha) 3) 3)) (/.f64 1 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (+.f64 64 (*.f64 (pow.f64 (/.f64 4 alpha) 3) (+.f64 8 (pow.f64 (/.f64 4 alpha) 3))))) |
(/.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) 1) (+.f64 2 (/.f64 4 alpha))) |
(/.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (sqrt.f64 (+.f64 2 (/.f64 4 alpha)))) (sqrt.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (/.f64 (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha)) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 4 alpha))) (cbrt.f64 (+.f64 2 (/.f64 4 alpha))))) (cbrt.f64 (+.f64 2 (/.f64 4 alpha)))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) 1) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(pow.f64 (+.f64 2 (/.f64 -4 alpha)) 1) |
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) |
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 3) |
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) 1/3) |
(neg.f64 (+.f64 (/.f64 4 alpha) -2)) |
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2)) |
(log.f64 (exp.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3)) |
(expm1.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha)))) |
(exp.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -4 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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 -4 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(+.f64 (/.f64 2 alpha) (neg.f64 (/.f64 4 (*.f64 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 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) (/.f64 -4 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 (/.f64 2 alpha) (*.f64 (neg.f64 (/.f64 4 (*.f64 alpha alpha))) 1)) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha 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 alpha) (/.f64 -4 (*.f64 alpha 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 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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 alpha 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 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 alpha) (/.f64 -4 (*.f64 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 alpha) (/.f64 -4 (*.f64 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 alpha) (/.f64 -4 (*.f64 alpha 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 alpha) (/.f64 -4 (*.f64 alpha 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)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (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 (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 alpha) (/.f64 -4 (*.f64 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 alpha) (/.f64 -4 (*.f64 alpha 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 alpha) (/.f64 -4 (*.f64 alpha 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 alpha) (+.f64 1 (/.f64 -2 alpha))) |
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 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 (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 2 (/.f64 -4 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 (*.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.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 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 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)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 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 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2)) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 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))) 1) (/.f64 (sqrt.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 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha) (sqrt.f64 (+.f64 2 (/.f64 -4 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 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 1)) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
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(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 4 alpha) 3) -8) (+.f64 -4 (-.f64 (/.f64 -8 alpha) (/.f64 16 (*.f64 alpha alpha))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) (sqrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 4 alpha) 3) -8) (+.f64 -4 (-.f64 (/.f64 -8 alpha) (/.f64 16 (*.f64 alpha alpha))))) |
(/.f64 (/.f64 (-.f64 8 (pow.f64 (/.f64 4 alpha) 3)) (*.f64 (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))))) (cbrt.f64 (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha))))) |
(/.f64 (-.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (+.f64 8 (/.f64 -64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 8 alpha)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 4 alpha) 3) -8) (+.f64 -4 (-.f64 (/.f64 -8 alpha) (/.f64 16 (*.f64 alpha alpha))))) |
(pow.f64 (+.f64 2 (/.f64 -4 alpha)) 1) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 3) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) 1/3) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(neg.f64 (+.f64 (/.f64 4 alpha) -2)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2)) |
(fabs.f64 (+.f64 2 (/.f64 -4 alpha))) |
(fabs.f64 (-.f64 2 (/.f64 4 alpha))) |
(log.f64 (exp.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -4 alpha))))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3)) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(expm1.f64 (log.f64 (+.f64 3 (/.f64 -4 alpha)))) |
(expm1.f64 (log.f64 (+.f64 (/.f64 -4 alpha) 3))) |
(expm1.f64 (log.f64 (-.f64 3 (/.f64 4 alpha)))) |
(exp.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -4 alpha)))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.13% | (/.f64 2 (/.f64 beta alpha)) |
Compiled 41 to 25 computations (39% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 2 (/.f64 beta alpha)) |
| 0.0ms | beta | @ | 0 | (/.f64 2 (/.f64 beta alpha)) |
| 0.0ms | beta | @ | inf | (/.f64 2 (/.f64 beta alpha)) |
| 0.0ms | alpha | @ | inf | (/.f64 2 (/.f64 beta alpha)) |
| 0.0ms | alpha | @ | -inf | (/.f64 2 (/.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 1614× | add-sqr-sqrt |
| 1592× | *-un-lft-identity |
| 1490× | add-cube-cbrt |
| 1474× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 154 | 13 |
| 2 | 2005 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (/.f64 beta alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) (sqrt.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (neg.f64 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 beta) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 beta alpha) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))))))) |
| 1× | egg-herbie |
| 1340× | associate-/l* |
| 1074× | distribute-lft-in |
| 1010× | distribute-rgt-in |
| 890× | associate-+r+ |
| 838× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 706 |
| 1 | 163 | 706 |
| 2 | 648 | 706 |
| 3 | 2568 | 706 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(*.f64 1 (*.f64 2 (/.f64 alpha beta))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) (sqrt.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 (/.f64 2 beta) alpha) |
(*.f64 (/.f64 alpha beta) 2) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 beta) alpha))) |
(*.f64 (*.f64 (/.f64 2 beta) 1) alpha) |
(*.f64 (*.f64 (/.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (*.f64 (/.f64 2 beta) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(pow.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 beta alpha) 1/2) -1) |
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 beta alpha) 2))) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 alpha beta))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 alpha beta))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))) |
| Outputs |
|---|
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 alpha (/.f64 2 beta)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 1 (*.f64 2 (/.f64 alpha beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) (sqrt.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) (cbrt.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 beta) alpha) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 alpha beta) 2) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 beta) alpha))) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (*.f64 (/.f64 2 beta) 1) alpha) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (*.f64 (/.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (*.f64 (/.f64 2 beta) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 2 beta) (*.f64 (cbrt.f64 (*.f64 alpha alpha)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (*.f64 2 (cbrt.f64 (*.f64 alpha alpha))) beta) (cbrt.f64 alpha)) |
(*.f64 (/.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(*.f64 2 (/.f64 alpha beta)) |
(pow.f64 (*.f64 2 (/.f64 alpha beta)) 1) |
(*.f64 2 (/.f64 alpha beta)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 alpha beta))) 2) |
(*.f64 2 (/.f64 alpha beta)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 alpha beta))) 3) |
(*.f64 2 (/.f64 alpha beta)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3) 1/3) |
(*.f64 2 (/.f64 alpha beta)) |
(pow.f64 (*.f64 (/.f64 beta alpha) 1/2) -1) |
(*.f64 2 (/.f64 alpha beta)) |
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 beta alpha) 2))) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 2)) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 alpha beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 alpha beta))))) |
(*.f64 2 (/.f64 alpha beta)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 alpha beta)) 3)) |
(*.f64 2 (/.f64 alpha beta)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 alpha beta))) 1)) |
(*.f64 2 (/.f64 alpha beta)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 alpha beta)) |
Compiled 5405 to 4158 computations (23.1% saved)
15 alts after pruning (2 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 0 | 246 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 12 | 12 |
| Total | 246 | 15 | 261 |
| Status | Error | Program |
|---|---|---|
| ✓ | 79.21% | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
| ✓ | 73% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 77.48% | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 72.53% | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 46.14% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 47.68% | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 23.39% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 24.22% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 74.32% | (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2) | |
| 73% | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| ✓ | 48.83% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 69.24% | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
| ✓ | 91.89% | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 64.42% | (/.f64 2 2) |
| ✓ | 45.87% | (/.f64 1 2) |
Compiled 165 to 134 computations (18.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 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 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha 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 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)))) 2) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 6) (pow.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) 6)) (*.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 2) (*.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) (fma.f64 (+.f64 2 beta) (*.f64 beta (pow.f64 alpha -2)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2))))) (+.f64 (pow.f64 (*.f64 beta (*.f64 (+.f64 2 beta) (pow.f64 alpha -2))) 3) (pow.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 2)) 3)))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 22.0ms | alpha |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | beta |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 4.77% | 2 | alpha |
| 23.39% | 1 | beta |
| 0.02% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.02% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.02% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 401 to 285 computations (28.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999092 | -1.345229018384689e-6 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 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 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 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:
| 27.0ms | alpha |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 10.0ms | beta |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 4.88% | 2 | alpha |
| 23.39% | 1 | beta |
| 0.13% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.13% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.13% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 201 to 152 computations (24.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999092 | -1.345229018384689e-6 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 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 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 30.0ms | alpha |
| 9.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 5.16% | 2 | alpha |
| 24.22% | 1 | beta |
Compiled 136 to 108 computations (20.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 4175213017998.7866 | 22019222993984.836 |
| 11.0ms | 96× | body | 256 | valid |
Compiled 164 to 135 computations (17.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 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 (/.f64 2 alpha) 2) |
2 calls:
| 20.0ms | alpha |
| 6.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 10.1% | 2 | alpha |
| 24.22% | 1 | beta |
Compiled 70 to 58 computations (17.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4175213017998.7866 | 22019222993984.836 |
| 11.0ms | 96× | body | 256 | valid |
Compiled 140 to 117 computations (16.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 11.0ms | beta |
| 11.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 27.77% | 2 | alpha |
| 24.88% | 2 | beta |
Compiled 52 to 44 computations (15.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.027667305799965437 | 101.76018714237092 |
| 11.0ms | 92× | body | 256 | valid |
| 7.0ms | 22× | body | 1024 | valid |
| 2.0ms | 13× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 180 to 159 computations (11.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 11.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 27.77% | 2 | alpha |
| 25.13% | 2 | beta |
Compiled 45 to 38 computations (15.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027667305799965437 | 101.76018714237092 |
| 11.0ms | 95× | body | 256 | valid |
| 4.0ms | 18× | body | 1024 | valid |
| 2.0ms | 12× | body | 512 | valid |
| 1.0ms | 3× | body | 2048 | valid |
Compiled 148 to 135 computations (8.8% saved)
Total -46.2b remaining (-280.7%)
Threshold costs -46.2b (-280.7%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 9.0ms | beta |
| 9.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 27.9% | 2 | alpha |
| 25.69% | 2 | beta |
Compiled 31 to 26 computations (16.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.027667305799965437 | 101.76018714237092 |
| 12.0ms | 101× | body | 256 | valid |
| 3.0ms | 15× | body | 1024 | valid |
| 2.0ms | 11× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 116 to 111 computations (4.3% saved)
| 1× | egg-herbie |
| 32× | +-commutative |
| 16× | sub-neg |
| 14× | *-commutative |
| 8× | neg-mul-1 |
| 8× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 426 |
| 1 | 80 | 426 |
| 2 | 102 | 426 |
| 3 | 110 | 426 |
| 4 | 114 | 426 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 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 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 4200000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 4400000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (+.f64 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 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 (/.f64 2 alpha) (-.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 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 (/.f64 2 alpha) (+.f64 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 -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 alpha beta) 2)) -1/2) (/.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)) -1/2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 4200000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 4200000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 4400000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 4400000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(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 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 175 to 130 computations (25.7% saved)
| 3× | egg-herbie |
| 1090× | associate-+l+ |
| 982× | associate-/l* |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 788× | associate-*r* |
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 | 608 | 12724 |
| 1 | 2161 | 12284 |
| 0 | 599 | 24944 |
| 1 | 1756 | 22338 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 683 to 501 computations (26.6% saved)
Compiled 161 to 114 computations (29.2% saved)
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