Details

analyze358.0ms (2.6%)

Algorithm

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.4s (17.3%)

Results

1.8s	6437×	body	256	valid
365.0ms	1099×	body	1024	valid
130.0ms	604×	body	512	valid
81.0ms	116×	body	2048	valid

Bogosity

preprocess83.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1084×	`fma-neg`
902×	`associate-+l-`
768×	`div-sub`
742×	`associate--l-`
622×	`associate-/r/`

Iterations

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

982×	`associate-/l*`
722×	`fma-def`
710×	`distribute-lft-in`
708×	`associate-+l-`
618×	`associate--l-`

Iterations

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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)))

eval1.0ms (0%)

Compiler: Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

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

Error

16.6b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize78.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	2.2b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	inf	(+.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)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-/l*`
1468×	`associate-/r/`
762×	`associate-/l/`
280×	`+-commutative`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	259	56
2	3844	56

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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 (+.f64 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Outputs

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simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-lft-in`
812×	`distribute-rgt-in`
734×	`*-commutative`
724×	`+-commutative`
570×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	12724
1	2161	12284

Stop Event

1×	node limit

Counts

182 → 354

Calls

Call 1

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))))
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(.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)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))))
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(.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)))

eval248.0ms (1.8%)

Compiler: Compiled 12222 to 7914 computations (35.2% saved)

prune79.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	342	12	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	342	13	355

Error

0.0b

Counts

355 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)
	31.0b	(/.f64 (/.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))) 2)
▶	45.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	16.6b	(/.f64 (/.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)))))) 2)
	16.6b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	46.4b	(/.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)
	30.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	17.6b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	16.6b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	61.6b	(/.f64 (+.f64 -1 1) 2)
▶	16.6b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	42.3b	(/.f64 2 2)

Compiler

Compiled 627 to 441 computations (29.7% saved)

localize51.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	4.2b	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	alpha	@	0	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	beta	@	-inf	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	beta	@	0	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms	beta	@	0	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`distribute-lft-in`
1120×	`associate-/r*`
802×	`associate-/r/`
774×	`associate-/l*`
364×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	282	75
2	4024	75

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(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 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 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) (+.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 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))))) 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Outputs

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alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/l*`
1068×	`associate-r`
998×	`associate-/r*`
952×	`*-commutative`
888×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	988	22689
1	3165	22191

Stop Event

1×	node limit

Counts

339 → 626

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))
-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
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(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) 1) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) -1) (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(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)))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 -1 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (-.f64 (+.f64 beta alpha) 2))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.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 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 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) (-.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))))
(-.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) (-.f64 (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))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (neg.f64 (/.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 (.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))) (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 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.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 alpha beta) 2) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.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 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 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)))
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1
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1
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(+.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (/.f64 (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (neg.f64 alpha) -2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (*.f64 (sqrt.f64 (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (*.f64 (cbrt.f64 (+.f64 alpha 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 beta beta)))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(*.f64 -1 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 1 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) -2)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (-.f64 (+.f64 beta alpha) 2))
(*.f64 (/.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (sqrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 (-.f64 beta alpha) -2)))
(.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (+.f64 (-.f64 beta alpha) -2) (/.f64 1 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (cbrt.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))) (cbrt.f64 (+.f64 (-.f64 beta alpha) -2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 (.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (-.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 6) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3))) (+.f64 (pow.f64 beta 4) (+.f64 (pow.f64 (+.f64 alpha 2) 4) (.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(.f64 (/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (+.f64 (.f64 beta (*.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(.f64 (/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3))) (+.f64 (pow.f64 beta 6) (-.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(/.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (-.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6)) (.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 (+.f64 alpha beta) 2))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	0	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	-inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1846×	`add-cube-cbrt`
1832×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2431	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)

Outputs

((#(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)))))

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-*r/`
1030×	`associate-r`
1002×	`associate-*l/`
862×	`associate-l`
668×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1525
1	265	1491
2	814	1341
3	4157	1339

Stop Event

1×	node limit

Counts

45 → 60

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (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
1
(+.f64 1 (*.f64 1/2 beta))
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta))))
(+.f64 1 (fma.f64 1/2 beta (.f64 beta (.f64 beta -1/4))))
(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 1 (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (.f64 (.f64 beta beta) (+.f64 (*.f64 beta 1/8) -1/4))))
(+.f64 1 (.f64 beta (+.f64 1/2 (.f64 beta (+.f64 -1/4 (*.f64 beta 1/8))))))
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 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 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 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
(-.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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.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 (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)) 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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 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)) 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.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 (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)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(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)))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
1.0ms	beta	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	beta	@	inf	(/.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)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	15
2	2351	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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)))))))

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1000×	`associate-+r+`
782×	`associate-+l+`
750×	`*-commutative`
578×	`associate-*r/`
400×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	972
1	214	960
2	838	732
3	3745	732

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
✓	0.1b	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
✓	2.2b	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series23.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
2.0ms	beta	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
2.0ms	beta	@	0	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
2.0ms	alpha	@	0	(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
2.0ms	alpha	@	inf	(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-/r*`
1452×	`associate-/l*`
976×	`associate-/r/`
294×	`+-commutative`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	274	85
2	3979	85

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 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beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))

simplify167.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1226×	`distribute-lft-in`
1010×	`associate-r`
944×	`*-commutative`
932×	`+-commutative`
872×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	17668
1	2557	17564

Stop Event

1×	node limit

Counts

196 → 354

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))))))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 -3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (.f64 -6 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
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2
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2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
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1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(/.f64 beta (+.f64 beta 2))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
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-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 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) 1)
(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0)
(+.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta))) (*.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (neg.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta 2)))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta 2) (+.f64 beta 2)) (.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 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 alpha 2) 2) (.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 beta alpha))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 beta beta) (-.f64 (.f64 alpha alpha) (*.f64 beta alpha))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 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 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha (+.f64 beta alpha)) 3))) (-.f64 (+.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 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (sqrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (cbrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 alpha (-.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))

Outputs
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
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(log.f64 2)
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(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (/.f64 beta (+.f64 2 beta)))
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2
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2
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(.f64 (cbrt.f64 (-.f64 beta alpha)) (.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (neg.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))))
(.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (-.f64 beta alpha))
(.f64 (-.f64 beta alpha) (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (.f64 beta beta) (-.f64 (.f64 alpha alpha) (*.f64 beta alpha))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (.f64 alpha (-.f64 alpha beta))))
(.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 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 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (.f64 beta (pow.f64 beta 3)) (.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (-.f64 (.f64 beta beta) (.f64 alpha (+.f64 alpha beta))))
(.f64 (.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (.f64 beta (pow.f64 beta 3)) (.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) (-.f64 (.f64 beta beta) (.f64 alpha (+.f64 alpha beta))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha (+.f64 beta alpha)) 3))) (-.f64 (+.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 (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 alpha (+.f64 2 beta))))) (+.f64 (.f64 beta (pow.f64 beta 3)) (-.f64 (.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 (.f64 beta beta) (.f64 alpha (+.f64 alpha beta))))))
(/.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.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 (.f64 beta (pow.f64 beta 3)) (-.f64 (.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (.f64 alpha (.f64 (+.f64 alpha beta) (.f64 beta beta)))))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (sqrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) (sqrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha)))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (cbrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (cbrt.f64 (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 beta alpha) (.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.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 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 alpha (-.f64 2 beta))))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 (.f64 (+.f64 alpha (-.f64 2 beta)) (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha))) (/.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(/.f64 (.f64 (+.f64 alpha (-.f64 2 beta)) (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha))) (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(/.f64 (.f64 (+.f64 alpha (-.f64 2 beta)) (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))
(.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha))) (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta))))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (.f64 (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha)))) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))) (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 alpha (-.f64 2 beta))))
(.f64 (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))))
(/.f64 (.f64 (.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta (-.f64 (-.f64 beta 2) alpha)))) (/.f64 (-.f64 (.f64 beta (+.f64 alpha (+.f64 2 beta))) (.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 beta beta)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(/.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 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 alpha) beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval710.0ms (5.1%)

Compiler: Compiled 38549 to 25973 computations (32.6% saved)

prune309.0ms (2.2%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1074	10	1084
Fresh	3	4	7
Picked	1	0	1
Done	0	5	5
Total	1078	19	1097

Error

0.0b

Counts

1097 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)
	31.0b	(/.f64 (/.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))) 2)
▶	16.6b	(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
✓	45.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	46.8b	(/.f64 (/.f64 2 alpha) 2)
	16.6b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	47.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	30.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.6b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
▶	45.0b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
▶	32.2b	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
	45.2b	(/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) 2)
	59.8b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	30.0b	(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
▶	16.6b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) 2)
✓	42.3b	(/.f64 2 2)
▶	30.3b	(/.f64 1 2)

Compiler

Compiled 677 to 495 computations (26.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
✓	0.3b	(exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))
✓	4.2b	(log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))

Compiler

Compiled 75 to 46 computations (38.7% saved)

series29.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	0	(exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))
1.0ms	beta	@	0	(exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))
1.0ms	alpha	@	0	(log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))
0.0ms	beta	@	0	(log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))
0.0ms	beta	@	-inf	(exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))

rewrite150.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`distribute-lft-in`
988×	`associate-/r*`
714×	`associate-/r/`
700×	`associate-/l*`
338×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	305	104
2	4130	104

Stop Event

1×	node limit

Counts

4 → 264

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta) (+.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) beta)) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) (.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 alpha) 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 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simplify199.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-r`
1354×	`associate-l`
1128×	`+-commutative`
660×	`associate-+r+`
504×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1126	26960
1	3646	26318

Stop Event

1×	node limit

Counts

360 → 593

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (.f64 -6 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))))
(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (.f64 1/6 (.f64 (pow.f64 beta 3) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3))))))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (.f64 3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (.f64 3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3/2 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 -3 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (.f64 -1 (.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(+.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 beta (+.f64 beta 2)) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (.f64 1/2 (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (.f64 -1/6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (.f64 1/2 (+.f64 (.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) alpha)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (.f64 -6 (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 beta 2) 3)) (.f64 -1/2 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 3)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))))
(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 (.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2)) (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (pow.f64 alpha 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 3))))) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (pow.f64 alpha 3))))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
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2
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-1
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1
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1
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(/.f64 1 beta)
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(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (.f64 (cbrt.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (cbrt.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (-.f64 beta alpha) -1) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) -1) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 -1 (-.f64 beta alpha)) (.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 1) (+.f64 alpha beta))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (.f64 (cbrt.f64 (+.f64 alpha beta)) (cbrt.f64 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 1) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))) (sqrt.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 alpha (+.f64 beta 2)))) (.f64 (cbrt.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (cbrt.f64 (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (.f64 beta beta) (*.f64 alpha alpha))) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha beta))
(/.f64 (/.f64 (.f64 -1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 -2 (+.f64 alpha beta))) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) 1) (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) -1) (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) 1) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) -1) (fma.f64 beta beta (.f64 alpha (+.f64 alpha beta)))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) 1) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (pow.f64 (-.f64 beta alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (+.f64 beta 2))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (*.f64 -1 beta))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 alpha alpha)) (.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3))) (+.f64 (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))

Outputs
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (/.f64 beta (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) alpha)) (log1p.f64 (/.f64 beta (+.f64 beta 2))))
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2
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2
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1
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1
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(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2)))
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))
(/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) -1)
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))
(/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))) 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) (-.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(.f64 (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3))) (+.f64 (.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 alpha 6) (-.f64 (pow.f64 (+.f64 beta 2) 6) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (-.f64 beta alpha) 2) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (.f64 1 (-.f64 (+.f64 beta 2) alpha)) (-.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4)) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha -2)) 1) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (.f64 2 (+.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/2) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -1/2) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (-.f64 beta alpha) 2) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha (-.f64 -2 beta)) (-.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 alpha alpha)))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2)) (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))
(.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 (pow.f64 alpha 6) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))) (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))))
(.f64 (/.f64 (+.f64 alpha (-.f64 -2 beta)) (-.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 (+.f64 beta 2) alpha))

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 beta alpha))
✓	0.0b	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))

Compiler

Compiled 46 to 29 computations (37% saved)

series9.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	0	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	alpha	@	inf	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	beta	@	0	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	beta	@	inf	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	alpha	@	-inf	(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`associate-/r*`
788×	`associate-/l*`
534×	`distribute-rgt-in`
506×	`distribute-lft-in`
356×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	241	34
2	3207	32

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) (-.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)) (/.f64 (pow.f64 alpha -2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 (*.f64 2 beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2) (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (*.f64 4 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(cbrt.f64 alpha) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 beta 1/2) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 beta 1/2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) 1) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) 1) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) 1) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) -1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (*.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta -2) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 beta (neg.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 beta (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))))))

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

798×	`unswap-sqr`
540×	`associate-/l/`
510×	`associate-r`
508×	`distribute-lft-neg-in`
480×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	6329
1	1248	5719
2	5348	5679

Stop Event

1×	node limit

Counts

167 → 231

Calls

Call 1

Inputs
(/.f64 2 alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 2 (/.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) (-.f64 1 (/.f64 2 alpha)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)) (/.f64 (pow.f64 alpha -2) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(-.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))) 1)
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(.f64 1 (.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(.f64 (/.f64 1 alpha) (+.f64 (.f64 2 beta) 2))
(.f64 (/.f64 1 alpha) (+.f64 2 (.f64 2 beta)))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(.f64 (cbrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2) (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (/.f64 1 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(.f64 (/.f64 1 (.f64 (/.f64 2 alpha) (-.f64 beta 1))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(.f64 (/.f64 1 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 2 beta) 2)) alpha)
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2))) (.f64 alpha alpha))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta)))))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (/.f64 -2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) 3) (pow.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) 3))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) (-.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)))))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))
(/.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (/.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (/.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))))
(/.f64 (sqrt.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) (sqrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))) (/.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (cbrt.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) (cbrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (.f64 (pow.f64 (/.f64 2 alpha) 3) (pow.f64 (/.f64 2 alpha) 3))) (.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))))
(/.f64 (.f64 4 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2))) (.f64 (/.f64 2 alpha) (-.f64 1 beta)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (.f64 (/.f64 -4 (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha)))) (.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) (*.f64 4 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) 3) (pow.f64 (pow.f64 (/.f64 2 alpha) 3) 3)) (.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (.f64 (pow.f64 (/.f64 2 alpha) 3) (-.f64 (pow.f64 (/.f64 2 alpha) 3) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) 3) (pow.f64 (/.f64 4 (.f64 alpha alpha)) 3)) (.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 4 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))))
(/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha))
(/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (.f64 alpha alpha))
(/.f64 (neg.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (/.f64 (neg.f64 (-.f64 (.f64 2 beta) 2)) alpha))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (neg.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) 2) (+.f64 (/.f64 beta alpha) (/.f64 -1 alpha)))
(/.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) 1) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))
(/.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (sqrt.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (.f64 (cbrt.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1))) (cbrt.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (cbrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (+.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (.f64 2 (/.f64 beta alpha))))) (-.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) 1) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (sqrt.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1)))))) (sqrt.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (.f64 (cbrt.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (cbrt.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))))) (cbrt.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) 1) (.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (sqrt.f64 alpha)) (.f64 (sqrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (.f64 (cbrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (*.f64 2 beta))) alpha) alpha)
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) 1) (.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (sqrt.f64 alpha)) (.f64 (sqrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (.f64 (cbrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (.f64 2 alpha) (.f64 alpha (.f64 2 beta))) (.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3) 1/3)
(neg.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 (neg.f64 (-.f64 (.f64 2 beta) 2)) alpha)))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (neg.f64 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(exp.f64 (log.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (.f64 2 (/.f64 beta alpha))) (sqrt.f64 (.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)
(/.f64 2 (/.f64 alpha beta))
(/.f64 beta (/.f64 alpha 2))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(/.f64 1 (/.f64 alpha (*.f64 2 beta)))
(/.f64 (/.f64 2 alpha) (/.f64 1 beta))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) 2))
(/.f64 (sqrt.f64 (.f64 2 beta)) (/.f64 alpha (sqrt.f64 (.f64 2 beta))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 beta)) (cbrt.f64 (.f64 2 beta))) (/.f64 alpha (cbrt.f64 (.f64 2 beta))))
(/.f64 (*.f64 2 (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)))
(/.f64 (/.f64 beta 1/2) alpha)
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 alpha))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (cbrt.f64 alpha))
(/.f64 (*.f64 beta -2) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 2 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 2 (sqrt.f64 (/.f64 alpha beta))) (sqrt.f64 (/.f64 alpha beta)))
(/.f64 (/.f64 2 (*.f64 (cbrt.f64 (/.f64 alpha beta)) (cbrt.f64 (/.f64 alpha beta)))) (cbrt.f64 (/.f64 alpha beta)))
(/.f64 (/.f64 2 (/.f64 1 (sqrt.f64 beta))) (/.f64 alpha (sqrt.f64 beta)))
(/.f64 (/.f64 2 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2))) (/.f64 alpha (cbrt.f64 beta)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) 1)) (/.f64 (sqrt.f64 alpha) beta))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) (sqrt.f64 beta))) (/.f64 (sqrt.f64 alpha) (sqrt.f64 beta)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (sqrt.f64 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) (/.f64 (cbrt.f64 alpha) beta))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 beta))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 beta)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 beta 1/2) 1) alpha)
(/.f64 (/.f64 (/.f64 beta 1/2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) 1) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (sqrt.f64 alpha) beta)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) 1) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta)) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 beta -2) 1) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 beta -2) (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 beta -2) (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 beta -2) -1) alpha)
(/.f64 (/.f64 (*.f64 beta -2) (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 (.f64 beta -2) (.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 (*.f64 beta -2) (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (*.f64 beta -2) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) 1/3)
(neg.f64 (/.f64 (*.f64 2 beta) (neg.f64 alpha)))
(neg.f64 (*.f64 (/.f64 beta (neg.f64 alpha)) 2))
(neg.f64 (*.f64 2 (/.f64 beta (neg.f64 alpha))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))

Outputs
(/.f64 2 alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(*.f64 2 (/.f64 beta alpha))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 2 (/.f64 beta alpha))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1) (/.f64 beta (/.f64 alpha 2)))
(fma.f64 2 (/.f64 beta alpha) (expm1.f64 (log1p.f64 (/.f64 2 alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) (-.f64 1 (/.f64 2 alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)) (/.f64 (pow.f64 alpha -2) (/.f64 (.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 2 alpha) (+.f64 beta -1))) 4) (.f64 (/.f64 (pow.f64 alpha -2) (.f64 (/.f64 2 alpha) (+.f64 beta -1))) 4))
(.f64 4 (-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (fma.f64 2 beta -2) alpha)) (.f64 (/.f64 (pow.f64 alpha -2) (fma.f64 2 beta -2)) alpha)))
(.f64 4 (.f64 alpha (-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (fma.f64 2 beta -2)) (/.f64 (pow.f64 alpha -2) (fma.f64 2 beta -2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1) (/.f64 beta (/.f64 alpha 2)))
(fma.f64 2 (/.f64 beta alpha) (expm1.f64 (log1p.f64 (/.f64 2 alpha))))
(-.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 1 (.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (/.f64 1 alpha) (+.f64 (.f64 2 beta) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (/.f64 1 alpha) (+.f64 2 (.f64 2 beta)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (sqrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (cbrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2) (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(.f64 4 (.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -1) (*.f64 2 alpha)))
(.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (/.f64 1 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 beta (/.f64 alpha 2)) (.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (.f64 alpha alpha))))
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (/.f64 1 (.f64 (/.f64 2 alpha) (-.f64 beta 1))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(.f64 4 (.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -1) (*.f64 2 alpha)))
(.f64 (/.f64 1 (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (.f64 2 (/.f64 beta alpha)) (.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 (/.f64 beta (/.f64 alpha 2)) (.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (.f64 alpha alpha))))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(/.f64 (fma.f64 2 beta 2) alpha)
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(.f64 (/.f64 4 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (/.f64 8 (pow.f64 alpha 3))) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 -8 (pow.f64 alpha 3))) 4)) (fma.f64 (/.f64 2 alpha) (/.f64 (fma.f64 2 beta 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 -8 (pow.f64 alpha 3))) 4)) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (.f64 (+.f64 beta 1) (*.f64 4 (pow.f64 alpha -2)))))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 2 beta) 2)) alpha)
(.f64 4 (.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -1) (*.f64 2 alpha)))
(.f64 (/.f64 (.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2))) (.f64 alpha alpha))
(.f64 (.f64 alpha alpha) (/.f64 4 (/.f64 (-.f64 (.f64 2 (.f64 beta alpha)) (*.f64 2 alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))
(.f64 alpha (.f64 alpha (.f64 (/.f64 4 (.f64 alpha (fma.f64 2 beta -2))) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta)))))) (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (.f64 (/.f64 -2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (.f64 (.f64 (/.f64 2 alpha) (-.f64 1 beta)) (/.f64 -2 alpha)))) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 (/.f64 beta alpha) 2)) 16) (.f64 (/.f64 2 alpha) (.f64 (.f64 (/.f64 2 alpha) (-.f64 1 beta)) (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (pow.f64 (/.f64 beta alpha) 4) 16 (.f64 (.f64 (/.f64 2 alpha) (.f64 (/.f64 2 alpha) (-.f64 1 beta))) (.f64 (.f64 (/.f64 -2 alpha) (-.f64 1 beta)) (/.f64 2 alpha))))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (.f64 (.f64 (/.f64 -2 alpha) (-.f64 1 beta)) (/.f64 2 alpha))))
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(/.f64 2 (/.f64 alpha beta))
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))
(neg.f64 (/.f64 (*.f64 2 beta) (neg.f64 alpha)))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(neg.f64 (*.f64 (/.f64 beta (neg.f64 alpha)) 2))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(neg.f64 (*.f64 2 (/.f64 beta (neg.f64 alpha))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(exp.f64 (.f64 (log.f64 (.f64 2 (/.f64 beta alpha))) 1))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))

localize97.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)
✓	0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
✓	2.2b	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
✓	2.2b	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

Compiler

Compiled 182 to 105 computations (42.3% saved)

series34.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	alpha	@	-inf	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
3.0ms	beta	@	0	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
3.0ms	beta	@	0	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
3.0ms	alpha	@	inf	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
2.0ms	alpha	@	0	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite142.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-/l*`
426×	`+-commutative`
382×	`add-sqr-sqrt`
372×	`associate-+l+`
370×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	160
1	372	160
2	5428	160

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

Inputs
(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) (fma.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta alpha) (/.f64 (-.f64 beta 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(-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))))

simplify344.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-r`
1234×	`associate-l`
772×	`+-commutative`
702×	`associate-*r/`
688×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1356	45632
1	4412	45424

Stop Event

1×	node limit

Counts

368 → 624

Calls

Call 1

Inputs
(.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (.f64 2 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))))))))
-2
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2)))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 -2 (.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))))))) (pow.f64 beta 3))))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
-2
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta))) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 2 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2))))) 2)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 2 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2))))))))) 2)
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
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2
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2
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(*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
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1
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1
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))
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1
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(/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) 1) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))

Outputs
(.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))))
(neg.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))))
(+.f64 -1 (*.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (neg.f64 beta) (.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))))
(+.f64 (+.f64 -1 (.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (/.f64 (.f64 3 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (neg.f64 beta)))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 -1 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 -1 (fma.f64 beta (.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha)))) (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))
(+.f64 (+.f64 -1 (.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 -1 (fma.f64 beta (/.f64 (.f64 3 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (.f64 2 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))))))))
(fma.f64 -1 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (.f64 -1 (fma.f64 beta (.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha)))) (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))) (neg.f64 (.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (.f64 2 (.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (+.f64 alpha 2) alpha)) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) (.f64 alpha (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))))))))
(+.f64 (+.f64 -1 (.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (.f64 -1 (fma.f64 beta (/.f64 (.f64 3 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))) (neg.f64 (.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (.f64 2 (.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (+.f64 alpha 2) alpha)) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) (.f64 alpha (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))))))))
-2
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 6 beta))) (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2)))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 6 beta)) (neg.f64 (/.f64 (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (.f64 beta beta))))) (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 6 beta)) (neg.f64 (/.f64 (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (.f64 (+.f64 alpha 2) (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (.f64 beta beta))))) (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 -2 (.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))))))) (pow.f64 beta 3))))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 6 beta)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (.f64 beta beta)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 2 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))))) (.f64 -2 (.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))))))) (pow.f64 beta 3)))))) (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 6 beta)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (.f64 (+.f64 alpha 2) (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (.f64 beta beta)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 -2 (.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 2 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1 (.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (-.f64 (.f64 alpha -2) (+.f64 4 (.f64 alpha 2))))) (.f64 (+.f64 alpha 2) (.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) -2)))))) (pow.f64 beta 3)))))) (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
-2
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta))) 2)
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-1
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-1
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1
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1
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1
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(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
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(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (*.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (.f64 (.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)))
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(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (fma.f64 alpha alpha (.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
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(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (-.f64 beta alpha)) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))))
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(/.f64 -1 (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (+.f64 (+.f64 alpha 2) beta)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (exp.f64 2) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)

eval1.6s (11.8%)

Compiler: Compiled 80107 to 53518 computations (33.2% saved)

prune647.0ms (4.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1443	5	1448
Fresh	4	5	9
Picked	1	0	1
Done	1	8	9
Total	1449	18	1467

Error

0.0b

Counts

1467 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	16.6b	(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)
	16.6b	(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)))) 2)
	54.3b	(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha)) 2)
✓	45.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	16.6b	(/.f64 (/.f64 (log.f64 (exp.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 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
▶	59.8b	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
▶	46.8b	(/.f64 (/.f64 2 alpha) 2)
▶	16.6b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
	47.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	30.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.6b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
✓	32.2b	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
	45.0b	(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
✓	16.6b	(/.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) 2)
✓	42.3b	(/.f64 2 2)
✓	30.3b	(/.f64 1 2)

Compiler

Compiled 562 to 407 computations (27.6% saved)

localize118.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
	2.2b	(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
✓	2.2b	(log.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
✓	2.2b	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))

Compiler

Compiled 232 to 137 computations (40.9% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(log.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
1.0ms	beta	@	0	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.0ms	alpha	@	-inf	(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.0ms	beta	@	0	(log.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
1.0ms	alpha	@	-inf	(log.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`associate-/l*`
1142×	`associate-/r/`
362×	`add-sqr-sqrt`
350×	`*-un-lft-identity`
346×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	367	105
2	4960	105

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs

(-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))

(log.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))

(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))))

simplify332.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-r`
1140×	`+-commutative`
1054×	`*-commutative`
978×	`associate-+r+`
900×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	877	37402
1	3066	37160

Stop Event

1×	node limit

Counts

274 → 394

Calls

Call 1

Inputs
(.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (.f64 2 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))))))))
-2
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2)))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -2 (/.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 6 (/.f64 1 beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (+.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (.f64 -2 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 -2 (.f64 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))))))) (pow.f64 beta 3))))))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))))
-2
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta))) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 2 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2))))) 2)
(-.f64 (+.f64 (.f64 4 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (.f64 -2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (.f64 2 (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2))))))))) 2)
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 -1 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (.f64 2 (/.f64 (.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 -1 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (.f64 2 (/.f64 (.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (.f64 -2 (/.f64 (.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (.f64 2 (/.f64 (.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -2 (/.f64 (.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3))) (.f64 -1 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))
(/.f64 (-.f64 (.f64 -1 (+.f64 beta 2)) (+.f64 beta (.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))) alpha)
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-2
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-2
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(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
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1
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1
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(.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 3)) (pow.f64 (-.f64 beta (+.f64 alpha 2)) 3))
(.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) 3)) (pow.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) 3))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) 1) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) 1) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (-.f64 beta alpha) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 4 (.f64 (+.f64 beta alpha) 2))))
(.f64 (/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(.f64 (/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 2)))
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(/.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(/.f64 1 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(/.f64 (.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha)))))
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.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 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 3)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (pow.f64 (-.f64 beta alpha) 3/2) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3/2)))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 3) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))

Outputs
(.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))))
(neg.f64 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))))
(+.f64 -1 (*.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 (neg.f64 beta) (.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))))
(.f64 -1 (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (.f64 3 (.f64 beta (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))))))))
(+.f64 (.f64 -1 (+.f64 1 (.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 -2 (/.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 -1 (+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) (.f64 -1 (fma.f64 beta (.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha)))) (.f64 (.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 alpha alpha))) (.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))
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-2
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-2
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-2
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-2
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1
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(.f64 (/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(.f64 (/.f64 (-.f64 beta alpha) (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (neg.f64 (-.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) -1) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 1 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(/.f64 1 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 3))
(/.f64 1 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 3))
(/.f64 1 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3/2)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3/2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))))
(.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)) (/.f64 (sqrt.f64 (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 4) (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) 3) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(/.f64 (.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha)))))
(.f64 (/.f64 (.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (*.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (-.f64 beta alpha)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) 1) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) 2)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3) (cbrt.f64 (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (cbrt.f64 (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (*.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 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 -2 (+.f64 beta alpha)))
(.f64 (-.f64 beta alpha) (.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 3)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (neg.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (pow.f64 (-.f64 beta alpha) 3/2) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3/2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3) (/.f64 (pow.f64 (sqrt.f64 (-.f64 beta alpha)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 3) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (-.f64 beta alpha)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 3) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3) (-.f64 beta alpha)))
(*.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3))
(*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3))
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 9))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

localize6.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	-inf	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
0.0ms	alpha	@	-inf	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
0.0ms	beta	@	inf	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
0.0ms	beta	@	0	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
0.0ms	alpha	@	inf	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`associate-/r*`
1578×	`associate-/l*`
936×	`*-commutative`
622×	`associate-/r/`
556×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	13
2	2489	7

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

Inputs
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (/.f64 2 alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) (*.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 beta (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (/.f64 -2 alpha)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 1/2) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 1/2) (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta 2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 beta (/.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) alpha) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 beta) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 2) (*.f64 (/.f64 (sqrt.f64 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 beta) alpha) 2) (/.f64 (sqrt.f64 beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2) (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (*.f64 alpha 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) (neg.f64 alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (neg.f64 beta)) alpha) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (neg.f64 beta)) (neg.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (neg.f64 beta)) -1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) (neg.f64 alpha)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (neg.f64 (*.f64 alpha 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (*.f64 alpha (/.f64 1/2 beta))))) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 2))) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 beta (/.f64 2 alpha))) 2) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 beta (/.f64 2 alpha))) 2) 2) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (*.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (/.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (*.f64 alpha 1/2))) (/.f64 beta (sqrt.f64 (*.f64 alpha 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 alpha 1/2)) 2)) (/.f64 beta (cbrt.f64 (*.f64 alpha 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 alpha)) (*.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 alpha -1/2)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 alpha (*.f64 (sqrt.f64 beta) 2))) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha))) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta 1/2) -1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 beta 2) -1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 beta (/.f64 -2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (neg.f64 beta) alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 beta (/.f64 2 alpha)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/2 (*.f64 beta (/.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 beta (/.f64 -2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha)))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-/r*`
1280×	`associate-+r-`
1172×	`times-frac`
1144×	`associate-/l/`
850×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	213	1226
1	574	1154
2	1816	1154
3	7793	1154

Stop Event

1×	node limit

Counts

110 → 95

Calls

Call 1

Inputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)
(*.f64 beta (/.f64 1 alpha))
(.f64 (.f64 beta (/.f64 2 alpha)) 1/2)
(*.f64 (/.f64 beta alpha) 1)
(*.f64 1 (/.f64 beta alpha))
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))
(.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) (.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2))
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))
(.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2) (.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2))
(.f64 1/2 (.f64 beta (/.f64 2 alpha)))
(.f64 (.f64 beta (/.f64 -2 alpha)) -1/2)
(.f64 (.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2) (sqrt.f64 (.f64 beta (/.f64 2 alpha))))
(.f64 (.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2) (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 beta 2) (/.f64 2 alpha))
(*.f64 (/.f64 1 alpha) beta)
(.f64 -1/2 (.f64 beta (/.f64 -2 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(*.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) 1))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))
(*.f64 (/.f64 (cbrt.f64 beta) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))
(.f64 (/.f64 (sqrt.f64 beta) 2) (.f64 (/.f64 (sqrt.f64 beta) alpha) 2))
(.f64 (.f64 (/.f64 (sqrt.f64 beta) alpha) 2) (/.f64 (sqrt.f64 beta) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2) (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha))
(*.f64 (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha) (cbrt.f64 beta))
(.f64 (/.f64 beta (.f64 alpha 2)) 2)
(.f64 (/.f64 (.f64 beta 1/2) alpha) 2)
(.f64 (/.f64 (.f64 beta 1/2) 1) (/.f64 2 alpha))
(.f64 (/.f64 (.f64 beta 1/2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(.f64 (/.f64 (.f64 beta 1/2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(.f64 (/.f64 (.f64 beta 1/2) (neg.f64 alpha)) -2)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) alpha) -2)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) (neg.f64 alpha)) 2)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) -1) (/.f64 2 alpha))
(*.f64 (/.f64 (/.f64 beta 2) alpha) 2)
(*.f64 (/.f64 (/.f64 beta 2) 1) (/.f64 2 alpha))
(*.f64 (/.f64 (/.f64 beta 2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 beta 2) (neg.f64 alpha)) -2)
(.f64 (/.f64 beta (neg.f64 (.f64 alpha 2))) -2)
(.f64 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 alpha (/.f64 1/2 beta))))) (sqrt.f64 (.f64 beta (/.f64 2 alpha))))
(.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2))) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))
(.f64 (/.f64 1 (.f64 2 (/.f64 alpha beta))) 2)
(.f64 (/.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 2) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2) 2) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))
(.f64 (/.f64 1/2 alpha) (.f64 beta 2))
(*.f64 (/.f64 1/2 alpha) (/.f64 beta 1/2))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 alpha 1/2))) (/.f64 beta (sqrt.f64 (*.f64 alpha 1/2))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 alpha 1/2)) 2)) (/.f64 beta (cbrt.f64 (*.f64 alpha 1/2))))
(.f64 (/.f64 1/2 (neg.f64 alpha)) (.f64 beta -2))
(.f64 (/.f64 1/2 (.f64 alpha -1/2)) (neg.f64 beta))
(.f64 (/.f64 1/2 (/.f64 alpha (.f64 (sqrt.f64 beta) 2))) (sqrt.f64 beta))
(*.f64 (/.f64 1/2 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha))) (cbrt.f64 beta))
(.f64 (/.f64 (.f64 beta 1/2) -1) (/.f64 -2 alpha))
(*.f64 (/.f64 (/.f64 beta 2) -1) (/.f64 -2 alpha))
(pow.f64 (/.f64 beta alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)
(pow.f64 (/.f64 alpha beta) -1)
(neg.f64 (/.f64 (neg.f64 beta) alpha))
(neg.f64 (.f64 (.f64 beta (/.f64 -2 alpha)) 1/2))
(neg.f64 (*.f64 (/.f64 (neg.f64 beta) alpha) 1))
(neg.f64 (.f64 (.f64 beta (/.f64 2 alpha)) -1/2))
(neg.f64 (.f64 1/2 (.f64 beta (/.f64 -2 alpha))))
(neg.f64 (/.f64 (*.f64 beta (/.f64 -2 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))
(log.f64 (exp.f64 (/.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 beta alpha)))

Outputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)
(/.f64 beta alpha)
(*.f64 beta (/.f64 1 alpha))
(/.f64 beta alpha)
(.f64 (.f64 beta (/.f64 2 alpha)) 1/2)
(/.f64 beta alpha)
(*.f64 (/.f64 beta alpha) 1)
(/.f64 beta alpha)
(*.f64 1 (/.f64 beta alpha))
(/.f64 beta alpha)
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) (.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2))
(/.f64 beta alpha)
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))
(/.f64 beta alpha)
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2) (.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2))
(/.f64 beta alpha)
(.f64 1/2 (.f64 beta (/.f64 2 alpha)))
(/.f64 beta alpha)
(.f64 (.f64 beta (/.f64 -2 alpha)) -1/2)
(/.f64 beta alpha)
(.f64 (.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2) (sqrt.f64 (.f64 beta (/.f64 2 alpha))))
(/.f64 beta alpha)
(.f64 (.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 1/2) (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2))
(/.f64 beta alpha)
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 beta 2) (/.f64 2 alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 beta alpha)
(.f64 -1/2 (.f64 beta (/.f64 -2 alpha)))
(/.f64 beta alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 beta (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (sqrt.f64 beta))
(/.f64 beta alpha)
(*.f64 (/.f64 (sqrt.f64 beta) alpha) (/.f64 (sqrt.f64 beta) 1))
(/.f64 beta alpha)
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (cbrt.f64 beta) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 beta) 2)) (pow.f64 (cbrt.f64 alpha) 2))
(.f64 (/.f64 (sqrt.f64 beta) 2) (.f64 (/.f64 (sqrt.f64 beta) alpha) 2))
(/.f64 beta alpha)
(.f64 (.f64 (/.f64 (sqrt.f64 beta) alpha) 2) (/.f64 (sqrt.f64 beta) 2))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2) (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (/.f64 (cbrt.f64 beta) 1/2) alpha) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 2))
(/.f64 beta alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha) (cbrt.f64 beta))
(/.f64 beta alpha)
(.f64 (/.f64 beta (.f64 alpha 2)) 2)
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 beta 1/2) alpha) 2)
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 beta 1/2) 1) (/.f64 2 alpha))
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 beta 1/2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(.f64 (/.f64 (.f64 beta 1/2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(.f64 (/.f64 (.f64 beta 1/2) (neg.f64 alpha)) -2)
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) alpha) -2)
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) (neg.f64 alpha)) 2)
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 1/2 (neg.f64 beta)) -1) (/.f64 2 alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (/.f64 beta 2) alpha) 2)
(/.f64 beta alpha)
(*.f64 (/.f64 (/.f64 beta 2) 1) (/.f64 2 alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (/.f64 beta 2) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 beta (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 beta 2) (neg.f64 alpha)) -2)
(/.f64 beta alpha)
(.f64 (/.f64 beta (neg.f64 (.f64 alpha 2))) -2)
(/.f64 beta alpha)
(.f64 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 alpha (/.f64 1/2 beta))))) (sqrt.f64 (.f64 beta (/.f64 2 alpha))))
(.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) (/.f64 1/2 (sqrt.f64 (*.f64 alpha (/.f64 1/2 beta)))))
(.f64 1/2 (/.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) (sqrt.f64 (*.f64 alpha (/.f64 1/2 beta)))))
(.f64 1/2 (/.f64 (sqrt.f64 (/.f64 beta (.f64 alpha 1/2))) (sqrt.f64 (/.f64 (*.f64 alpha 1/2) beta))))
(.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2))) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))
(/.f64 beta alpha)
(.f64 (/.f64 1 (.f64 2 (/.f64 alpha beta))) 2)
(/.f64 beta alpha)
(.f64 (/.f64 (sqrt.f64 (.f64 beta (/.f64 2 alpha))) 2) (sqrt.f64 (*.f64 beta (/.f64 2 alpha))))
(/.f64 beta alpha)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 2 alpha))) 2) 2) (cbrt.f64 (*.f64 beta (/.f64 2 alpha))))
(/.f64 beta alpha)
(.f64 (/.f64 1/2 alpha) (.f64 beta 2))
(/.f64 beta alpha)
(*.f64 (/.f64 1/2 alpha) (/.f64 beta 1/2))
(/.f64 beta alpha)
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 alpha 1/2))) (/.f64 beta (sqrt.f64 (*.f64 alpha 1/2))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (.f64 alpha 1/2)) 2)) (/.f64 beta (cbrt.f64 (*.f64 alpha 1/2))))
(.f64 (/.f64 1/2 (neg.f64 alpha)) (.f64 beta -2))
(/.f64 beta alpha)
(.f64 (/.f64 1/2 (.f64 alpha -1/2)) (neg.f64 beta))
(/.f64 beta alpha)
(.f64 (/.f64 1/2 (/.f64 alpha (.f64 (sqrt.f64 beta) 2))) (sqrt.f64 beta))
(/.f64 beta alpha)
(*.f64 (/.f64 1/2 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) alpha))) (cbrt.f64 beta))
(/.f64 beta alpha)
(.f64 (/.f64 (.f64 beta 1/2) -1) (/.f64 -2 alpha))
(/.f64 beta alpha)
(*.f64 (/.f64 (/.f64 beta 2) -1) (/.f64 -2 alpha))
(/.f64 beta alpha)
(pow.f64 (/.f64 beta alpha) 1)
(/.f64 beta alpha)
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)
(/.f64 beta alpha)
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)
(/.f64 beta alpha)
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)
(/.f64 beta alpha)
(pow.f64 (/.f64 alpha beta) -1)
(/.f64 beta alpha)
(neg.f64 (/.f64 (neg.f64 beta) alpha))
(/.f64 beta alpha)
(neg.f64 (.f64 (.f64 beta (/.f64 -2 alpha)) 1/2))
(/.f64 beta alpha)
(neg.f64 (*.f64 (/.f64 (neg.f64 beta) alpha) 1))
(/.f64 beta alpha)
(neg.f64 (.f64 (.f64 beta (/.f64 2 alpha)) -1/2))
(/.f64 beta alpha)
(neg.f64 (.f64 1/2 (.f64 beta (/.f64 -2 alpha))))
(/.f64 beta alpha)
(neg.f64 (/.f64 (*.f64 beta (/.f64 -2 alpha)) 2))
(/.f64 beta alpha)
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))
(/.f64 beta alpha)
(log.f64 (exp.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))
(/.f64 beta alpha)
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))
(/.f64 beta alpha)
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 beta alpha)
(expm1.f64 (log1p.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(exp.f64 (log.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)
(log1p.f64 (expm1.f64 (/.f64 beta alpha)))
(/.f64 beta alpha)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	2.5b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

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))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`associate-*r/`
948×	`associate-*l/`
902×	`associate-/r*`
796×	`*-commutative`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	180	32
2	2431	32

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 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simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r/`
826×	`associate-+l+`
686×	`associate-+r+`
600×	`+-commutative`
492×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7727
1	1123	6943
2	4260	6921

Stop Event

1×	node limit

Counts

163 → 257

Calls

Call 1

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)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 1/2 alpha (.f64 -1/4 (.f64 alpha alpha)))
(fma.f64 alpha 1/2 (.f64 alpha (.f64 alpha -1/4)))
(.f64 alpha (+.f64 1/2 (.f64 alpha -1/4)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(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)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 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 (+.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))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 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 (+.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)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.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 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.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)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.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 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)) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 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)) 3))) (+.f64 1 (.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))))
(.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 (.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 (-.f64 1 (/.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 (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 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 (/.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 alpha (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)))))
(*.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))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) 1))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.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)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (+.f64 1 (/.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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 (+.f64 1 (/.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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (.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)))))
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(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.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 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
✓	2.2b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 82 to 50 computations (39% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
2.0ms	alpha	@	inf	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
1.0ms	alpha	@	0	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
1.0ms	alpha	@	-inf	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
1.0ms	beta	@	inf	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))

rewrite260.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`associate-/l*`
1400×	`associate-/r/`
318×	`+-commutative`
312×	`add-sqr-sqrt`
302×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	124
1	315	124
2	4454	124

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 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(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) 1) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) -1) (cbrt.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 (-.f64 beta 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simplify197.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1112×	`*-commutative`
1016×	`+-commutative`
1004×	`associate-r`
958×	`associate-/l*`
874×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	30070
1	3156	29928

Stop Event

1×	node limit

Counts

366 → 527

Calls

Call 1

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))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
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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))))
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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))))
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(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(/.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)))
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(-.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))))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.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))))
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1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1)
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 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 alpha (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))))))))
1/2
(+.f64 1/2 (.f64 1/4 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))
(+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 (+.f64 2 (.f64 2 alpha)) 2)) (.f64 1/4 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (.f64 1/4 (/.f64 (+.f64 2 (.f64 2 alpha)) beta))))
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1/2
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(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (.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) (-.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))))
(-.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) (-.f64 (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))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (.f64 beta beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) 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 (fma.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.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)))))
2
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (+.f64 2 beta) (/.f64 (.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (pow.f64 alpha 4) beta))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta 2)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 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))))
(+.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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 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 -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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))
(-.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)))
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(-.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)))
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2
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2
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1
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1
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1/2
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1/2
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(fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2)
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(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
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(/.f64 alpha (+.f64 2 (*.f64 2 beta)))
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(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (sqrt.f64 -1))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) -1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) -1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))))
(.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)))
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3)
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

eval1.7s (12.2%)

Compiler: Compiled 81712 to 56467 computations (30.9% saved)

prune487.0ms (3.5%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1455	6	1461
Fresh	2	3	5
Picked	1	0	1
Done	4	8	12
Total	1462	17	1479

Error

Counts

1479 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1) (+.f64 -1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))) 2)
	54.3b	(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha)) 2)
✓	45.0b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	46.8b	(/.f64 (/.f64 2 alpha) 2)
	30.0b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
	0.5b	(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
	45.1b	(/.f64 (/.f64 1 (+.f64 1/2 (.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 1/4))) 2)
	47.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	30.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	31.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	16.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	17.6b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	32.2b	(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
	45.0b	(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
	59.8b	(/.f64 beta alpha)
✓	42.3b	(/.f64 2 2)
✓	30.3b	(/.f64 1 2)

Compiler

Compiled 227 to 186 computations (18.1% saved)

regimes98.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha)) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1) (+.f64 -1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) 2)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(/.f64 (/.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)))))) 2)
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 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 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) 2)
(/.f64 (/.f64 (log.f64 (exp.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 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (/.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))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) 2)

Outputs

(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)

Calls

5 calls:

43.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms	beta
15.0ms	alpha
4.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
4.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
0.5b	1	`alpha`
0.5b	1	`beta`
0.5b	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.5b	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.5b	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 693 to 476 computations (31.3% saved)

regimes121.0ms (0.9%)

Counts

27 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha)) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1) (+.f64 -1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) 2)

Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)

Calls

5 calls:

53.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
25.0ms	alpha
24.0ms	beta
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.8b	2	`alpha`
15.2b	2	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 355 to 257 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9991283567887261

Compiler

Compiled 20 to 15 computations (25% saved)

regimes133.0ms (1%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (/.f64 1 (+.f64 1/2 (.f64 (/.f64 (+.f64 2 (.f64 alpha 2)) beta) 1/4))) 2)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 2 beta) alpha) (.f64 alpha 2)) (.f64 alpha alpha)) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) -1) (+.f64 -1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2)

Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Calls

5 calls:

58.0ms	beta
21.0ms	alpha
12.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.8b	2	`alpha`
15.2b	2	`beta`
0.1b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.1b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.1b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 327 to 239 computations (26.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9991283567887261

Compiler

Compiled 20 to 15 computations (25% saved)

regimes80.0ms (0.6%)

Counts

15 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha))) 2)

Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)

Calls

2 calls:

52.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
3.6b	2	`alpha`
16.3b	3	`beta`

Compiler

Compiled 111 to 86 computations (22.5% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	3727227.1922304295	12179734804613356000.0

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 260 to 215 computations (17.3% saved)

regimes37.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)

Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)

Calls

2 calls:

21.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
3.6b	2	`alpha`
16.3b	3	`beta`

Compiler

Compiled 89 to 70 computations (21.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	3727227.1922304295	12179734804613356000.0

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 260 to 215 computations (17.3% saved)

regimes25.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)

Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)

Calls

2 calls:

12.0ms	beta
11.0ms	alpha

Results

Error	Segments	Branch
13.7b	2	`alpha`
17.9b	2	`beta`

Compiler

Compiled 71 to 56 computations (21.1% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	4.147304604223898e-7	3.0793207954831563

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 218 to 186 computations (14.7% saved)

regimes24.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)

Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (/.f64 2 alpha) 2)

Calls

2 calls:

11.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
15.8b	2	`alpha`
17.9b	2	`beta`

Compiler

Compiled 62 to 49 computations (21% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	4.147304604223898e-7	3.0793207954831563

Results

31.0ms

144×

body

256

valid

Compiler

Compiled 182 to 159 computations (12.6% saved)

regimes56.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)

Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)

Calls

2 calls:

46.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
16.1b	2	`alpha`
18.0b	2	`beta`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	4.147304604223898e-7	3.0793207954831563

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 146 to 132 computations (9.6% saved)

regimes47.0ms (0.3%)

Accuracy

Total -44.1b remaining (-241.7%)

Threshold costs -44.1b (-241.7%)

Counts

4 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)

Outputs
(/.f64 1 2)
(/.f64 2 2)

Calls

2 calls:

36.0ms	beta
9.0ms	alpha

Results

Error	Segments	Branch
26.8b	3	`alpha`
18.3b	2	`beta`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	20959692.75284718	28147839634.330555

Results

9.0ms	92×	body	256	valid
4.0ms	18×	body	1024	valid
3.0ms	16×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 116 to 111 computations (4.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
14×	`*-commutative`
6×	`sub-neg`
4×	`distribute-lft-neg-in`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	554
1	98	554
2	110	554
3	114	554
4	116	554

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 6200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 350000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha 5404319552844595/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/4503599627370496) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 21000000) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 alpha 6200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 6200000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 350000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha 350000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha 8782019273372467/4503599627370496) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (.f64 (/.f64 2 alpha) (+.f64 1 beta)) 2))
(if (<=.f64 alpha 5404319552844595/4503599627370496) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/4503599627370496) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/4503599627370496) 1/2 (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 21000000) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 21000000) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 224 to 173 computations (22.8% saved)

soundness236.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

982×	`associate-/l*`
924×	`distribute-lft-in`
812×	`distribute-rgt-in`
734×	`*-commutative`
724×	`+-commutative`

Iterations

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 82 to 54 computations (34.1% saved)

end154.0ms (1.1%)

Compiler: Compiled 206 to 153 computations (25.7% saved)