Details

analyze36.0ms (0.2%)

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)

sample2.7s (14.1%)

Results

1.3s	1006×	body	1024	valid
1.1s	6494×	body	256	valid
140.0ms	647×	body	512	valid
49.0ms	109×	body	2048	valid

Bogosity

preprocess71.0ms (0.4%)

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)

simplify69.0ms (0.4%)

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

32.24%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.24%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	5.98%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series46.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	alpha	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite93.0ms (0.5%)

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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simplify129.0ms (0.7%)

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

eval292.0ms (1.5%)

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

prune114.0ms (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

0.02%

Counts

355 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	32.9%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
	50.52%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 2)
▶	50.55%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	63.51%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	49.15%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	68.2%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	32.24%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	35.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	32.24%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	41.3%	(/.f64 (+.f64 (.f64 (.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) (/.f64 1 (+.f64 alpha beta))) 1) 2)
	96.22%	(/.f64 (+.f64 -1 1) 2)
	68.06%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
▶	70.51%	(/.f64 2 2)

Compiler

Compiled 555 to 409 computations (26.3% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.15%	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	9.76%	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 63 to 39 computations (38.1% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite133.0ms (0.7%)

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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(+.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)))))))))

simplify204.0ms (1.1%)

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)))

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(/.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	@	-inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	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)

rewrite102.0ms (0.5%)

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)))))))

simplify54.0ms (0.3%)

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)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.07%	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
✓	0.08%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
✓	2.53%	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
✓	8.47%	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))

Compiler

Compiled 113 to 66 computations (41.6% saved)

series33.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
4.0ms	alpha	@	inf	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
3.0ms	alpha	@	-inf	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
3.0ms	beta	@	0	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))
3.0ms	beta	@	inf	(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`distribute-lft-neg-in`
836×	`distribute-rgt-neg-in`
408×	`+-commutative`
364×	`add-sqr-sqrt`
356×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	172
1	342	130
2	5334	130

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify249.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-r`
1442×	`+-commutative`
1212×	`associate-l`
966×	`associate-+r+`
794×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1131	35592
1	3755	35206

Stop Event

1×	node limit

Counts

282 → 536

Calls

Call 1

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

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

eval1.0s (5.5%)

Compiler: Compiled 59207 to 40052 computations (32.4% saved)

prune410.0ms (2.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1195	11	1206
Fresh	3	4	7
Picked	1	0	1
Done	0	5	5
Total	1199	20	1219

Error

0.02%

Counts

1219 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) 2)
	50.56%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
▶	50.52%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 2)
	52.25%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) 2)
	52.29%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 alpha 2) beta)) (-.f64 -2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	68.25%	(/.f64 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (.f64 -2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 2 (/.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	63.51%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	69.37%	(/.f64 (/.f64 2 alpha) 2)
	49.15%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	68.06%	(/.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (.f64 (/.f64 (fma.f64 -2 (.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (.f64 alpha alpha)) -1/2)) (.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) 2)
	68.2%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	32.24%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	35.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	32.24%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	41.29%	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) 2)
▶	75.51%	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
	64.09%	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) 2)
	90.44%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	68.06%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
✓	70.51%	(/.f64 2 2)

Compiler

Compiled 1109 to 795 computations (28.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))
✓	0.17%	(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)
✓	0.39%	(cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
✓	5.98%	(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))

Compiler

Compiled 81 to 42 computations (48.1% saved)

series75.0ms (0.4%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
41.0ms	alpha	@	-inf	(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)
4.0ms	alpha	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)
4.0ms	beta	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)
4.0ms	beta	@	inf	(cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
3.0ms	beta	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/l*`
1648×	`associate-/r/`
336×	`add-sqr-sqrt`
320×	`*-un-lft-identity`
320×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	122
1	344	122
2	4582	122

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (-.f64 1 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1/6) (.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1/6) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1/6) 3) (pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 2) 3) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta 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(2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta 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simplify277.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-l`
1112×	`+-commutative`
734×	`associate-+r+`
618×	`associate-/l*`
610×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	968	33882
1	3398	32942

Stop Event

1×	node limit

Counts

284 → 480

Calls

Call 1

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

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.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 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 1) (.f64 (.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
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2
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2
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(cbrt.f64 2)
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(cbrt.f64 2)
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(fma.f64 -1/3 (*.f64 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 2))
(fma.f64 -1/3 (*.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 2))
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(fma.f64 1/3 (/.f64 (fma.f64 1/27 (/.f64 (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 3) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 -1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (.f64 -2/3 (.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))))) (.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (fma.f64 -1/3 (.f64 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 2)) (.f64 -1/3 (/.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (neg.f64 (.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))))) (.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 2) 2))))))
(fma.f64 1/3 (/.f64 (fma.f64 1/27 (/.f64 (pow.f64 (-.f64 alpha (-.f64 -2 alpha)) 3) (pow.f64 (cbrt.f64 2) 2)) (fma.f64 -1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 alpha (-.f64 -2 alpha))) (.f64 (-.f64 alpha (-.f64 -2 alpha)) (.f64 (.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 alpha (-.f64 -2 alpha)) 2)) (.f64 (-.f64 alpha (-.f64 -2 alpha)) (-.f64 -2 alpha))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) -2/3)))) (.f64 (pow.f64 beta 3) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (fma.f64 -1/3 (.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (cbrt.f64 2)) (/.f64 -1/3 (/.f64 (.f64 beta (.f64 beta (pow.f64 (cbrt.f64 2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (pow.f64 (-.f64 alpha (-.f64 -2 alpha)) 2)) (.f64 (-.f64 alpha (-.f64 -2 alpha)) (-.f64 -2 alpha)))))))
(pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 1/3)
(cbrt.f64 (-.f64 1 (neg.f64 (/.f64 beta (+.f64 2 beta)))))
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1
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(.f64 (/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2))))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2))))
(.f64 (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 alpha (+.f64 beta -2))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)))) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(.f64 (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2)))) (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2))))))
(.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (*.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (+.f64 beta (+.f64 alpha -2)))
(.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))
(/.f64 (.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (+.f64 alpha (+.f64 beta -2))) (.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2)))) (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))))
(.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha -2)))
(.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))))
(/.f64 (.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (+.f64 alpha (+.f64 beta -2))) (.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))))
(.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2)))) (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))))
(.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 4 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(.f64 (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2))))))
(.f64 (+.f64 alpha (+.f64 beta -2)) (.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))))
(.f64 (/.f64 (-.f64 (.f64 beta (-.f64 -2 (+.f64 beta alpha))) (.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) (.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (.f64 (+.f64 4 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)))) (+.f64 beta (+.f64 alpha -2))))
(.f64 (/.f64 (fma.f64 beta (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (.f64 alpha (-.f64 -2 (+.f64 alpha beta))))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha -2))))))
(.f64 (+.f64 alpha (+.f64 beta -2)) (.f64 (+.f64 4 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 (.f64 beta (-.f64 (-.f64 -2 alpha) beta)) (.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))))
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 1)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)) -1)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1))
(/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))

localize6.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1)
✓	0.37%	(*.f64 (/.f64 1 beta) (-.f64 beta alpha))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*l/`
940×	`*-commutative`
658×	`associate-/r*`
614×	`distribute-lft-in`
596×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	202	32
2	2787	32

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 alpha) 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (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) beta) (*.f64 (fma.f64 (neg.f64 alpha) 1 alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta beta) (/.f64 (neg.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta beta) (*.f64 (/.f64 (neg.f64 alpha) beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 beta beta)) (*.f64 1 (/.f64 (neg.f64 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 beta (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 beta) (/.f64 1 (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 beta alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 beta alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 beta (sqrt.f64 (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 beta (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 beta (cbrt.f64 (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 beta (/.f64 1 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))))) 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simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-+r-`
954×	`associate-/l*`
754×	`+-commutative`
574×	`times-frac`
548×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	8386
1	1573	7738
2	7425	7724

Stop Event

1×	node limit

Counts

240 → 307

Calls

Call 1

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

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

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (neg.f64 beta) (+.f64 2 beta))
✓	0.02%	(pow.f64 (+.f64 2 beta) 2)
✓	3.14%	(+.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)))
✓	5.44%	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))

Compiler

Compiled 142 to 87 computations (38.7% saved)

series66.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
60.0ms	beta	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))
1.0ms	alpha	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha))
1.0ms	beta	@	-inf	(+.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)))
1.0ms	beta	@	0	(+.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)))
1.0ms	alpha	@	0	(+.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)))

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`associate-+l+`
452×	`+-commutative`
420×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	391	120
2	6629	120

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 alpha) (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 alpha -2) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (/.f64 1 (.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) 1) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) alpha) (/.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) 1) (/.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 2 beta) alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (-.f64 1 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)) (/.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))))) (#(struct:change #<rule 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(pow.f64 alpha -2)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (-.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (/.f64 (.f64 (+.f64 beta (+.f64 beta -2)) (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 beta (+.f64 beta -2)) (.f64 alpha alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (+.f64 beta (+.f64 beta -2)) (.f64 alpha alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha)) alpha) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2)) (-.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta (+.f64 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(2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta beta) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta -2) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta -2) 0) beta)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 beta (+.f64 beta -2))))))

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-def`
866×	`times-frac`
792×	`associate-l`
762×	`associate-r`
712×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	13581
1	1710	11603

Stop Event

1×	node limit

Counts

289 → 361

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)
(.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))
(.f64 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)
(.f64 1 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))
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(fma.f64 1 (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(+.f64 (.f64 beta (+.f64 2 beta)) (.f64 (+.f64 2 beta) 2))
(+.f64 (.f64 beta (+.f64 2 beta)) (.f64 2 (+.f64 2 beta)))
(+.f64 (.f64 beta beta) (+.f64 (.f64 2 beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (.f64 beta beta) (+.f64 (.f64 2 beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (.f64 2 beta) (+.f64 (.f64 beta beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (.f64 2 beta) (+.f64 (.f64 beta beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 2 (+.f64 2 beta)) (.f64 beta (+.f64 2 beta)))
(+.f64 (.f64 (.f64 2 beta) 1) (+.f64 (.f64 (.f64 beta beta) 1) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (.f64 (.f64 2 beta) 1) (+.f64 (.f64 (.f64 beta beta) 1) (*.f64 2 (+.f64 2 beta))))
(+.f64 (+.f64 (.f64 (+.f64 2 beta) 2) (.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (.f64 (+.f64 2 beta) 2) (.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (.f64 (+.f64 2 beta) 2) (.f64 (.f64 2 beta) 1)) (.f64 (*.f64 beta beta) 1))
(+.f64 (+.f64 (.f64 2 (+.f64 2 beta)) (.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (.f64 2 (+.f64 2 beta)) (.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (.f64 2 (+.f64 2 beta)) (.f64 (.f64 2 beta) 1)) (.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 beta (+.f64 2 beta)))) (-.f64 1 (.f64 (+.f64 2 beta) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 beta (+.f64 2 beta)))) (-.f64 1 (.f64 2 (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(-.f64 (+.f64 (.f64 (+.f64 2 beta) 2) (exp.f64 (log1p.f64 (.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (+.f64 (.f64 2 (+.f64 2 beta)) (exp.f64 (log1p.f64 (.f64 beta (+.f64 2 beta))))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) 1)
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(.f64 (sqrt.f64 (+.f64 2 beta)) (.f64 (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (.f64 (cbrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(.f64 (.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(.f64 (.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (+.f64 4 (.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (.f64 (+.f64 2 beta) (+.f64 4 (.f64 beta beta))) (+.f64 2 beta))
(/.f64 (.f64 (+.f64 2 beta) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (.f64 (+.f64 4 (.f64 beta beta)) (+.f64 2 beta)) (+.f64 2 beta))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 beta)) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (.f64 (+.f64 4 (.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 2 beta) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (.f64 beta beta))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 2 beta))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(+.f64 beta (+.f64 beta -2))
(+.f64 beta (*.f64 (+.f64 beta -2) 1))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) beta)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 0 (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 beta beta) -2)
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 -2 (+.f64 beta beta))
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(*.f64 (+.f64 beta (+.f64 beta -2)) 1)
(*.f64 1 (+.f64 beta (+.f64 beta -2)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2))))
(.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -2))

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 6 (/.f64 beta (*.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 6 beta) (.f64 alpha alpha)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 (.f64 6 beta) (.f64 alpha alpha)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (.f64 alpha alpha)) (fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (.f64 alpha alpha))
(.f64 (+.f64 2 beta) (.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 beta beta) beta) (.f64 alpha alpha))
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(fma.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 -2 alpha))))
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4
(+.f64 4 (*.f64 4 beta))
(fma.f64 4 beta 4)
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
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(+.f64 4 (*.f64 beta (+.f64 4 beta)))
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(*.f64 beta beta)
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(*.f64 beta (+.f64 4 beta))
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(*.f64 beta beta)
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(*.f64 beta (+.f64 4 beta))
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(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
-2
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
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(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
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(pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) 2)
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(/.f64 (+.f64 2 beta) (/.f64 (neg.f64 (*.f64 alpha alpha)) (fma.f64 beta -2 -2)))
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(/.f64 (.f64 (+.f64 4 (.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 2 beta) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (+.f64 4 (.f64 beta beta)) (+.f64 2 beta)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (.f64 beta beta))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 4 (.f64 beta beta)) (+.f64 2 beta)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (fma.f64 beta beta 4) (+.f64 2 beta)) (/.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(pow.f64 (+.f64 2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 2 beta))) 1))
(pow.f64 (+.f64 2 beta) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 2 beta) 2)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 beta (*.f64 (+.f64 beta -2) 1))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 2 (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(fma.f64 2 (+.f64 -2 (fma.f64 2 beta 2)) (fma.f64 2 beta -2))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta -2) beta)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 0 (+.f64 beta (+.f64 beta -2)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 beta beta) -2)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 beta (+.f64 (+.f64 beta -2) (+.f64 (+.f64 beta -2) (+.f64 2 beta))))
(+.f64 (fma.f64 2 beta -2) (+.f64 -2 (fma.f64 2 beta 2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(*.f64 (+.f64 beta (+.f64 beta -2)) 1)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(*.f64 1 (+.f64 beta (+.f64 beta -2)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 2 beta 2))
(.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) 1) (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 2 beta 2))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) 1) (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 2 beta 2))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) 1) (fma.f64 beta beta (.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 2 beta -2))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (fma.f64 2 beta -2) 1)
(/.f64 (-.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (fma.f64 2 beta -2) (/.f64 (fma.f64 2 beta -2) -2))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (fma.f64 beta beta (.f64 (+.f64 beta -2) (+.f64 beta -2))) (.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta (+.f64 beta -2) 4))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 beta -2) (+.f64 beta -2) (*.f64 beta (+.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (fma.f64 beta (fma.f64 2 beta -2) (*.f64 (+.f64 beta -2) (+.f64 beta -2))))
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))
(fabs.f64 (fma.f64 2 beta -2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2)))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 1 beta (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 -1 beta (+.f64 beta -2))
-2

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.08%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	0.2%	(*.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))
✓	2.53%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	8.41%	(-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)

Compiler

Compiled 239 to 142 computations (40.6% saved)

series50.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
2.0ms	alpha	@	inf	(-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
2.0ms	beta	@	inf	(-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
2.0ms	beta	@	-inf	(-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)
2.0ms	alpha	@	0	(-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`associate-/l*`
1174×	`associate-/r/`
384×	`+-commutative`
368×	`add-sqr-sqrt`
358×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	130
1	359	130
2	5137	130

Stop Event

1×	node limit

Counts

4 → 252

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> 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(-.f64 beta alpha)) (-.f64 beta alpha)) (.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 beta alpha)) 1) (.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))))))

simplify323.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-+r+`
1480×	`associate-+l+`
782×	`associate--r+`
704×	`associate--l+`
658×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1351	38062
1	4525	37724

Stop Event

1×	node limit

Counts

348 → 709

Calls

Call 1

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

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

eval3.1s (16.5%)

Compiler: Compiled 157018 to 101968 computations (35.1% saved)

prune1.7s (8.7%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	2476	9	2485
Fresh	2	8	10
Picked	1	0	1
Done	2	7	9
Total	2481	24	2505

Error

Counts

2505 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2%	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) 3) 2)
✓	32.9%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) 2)
	68.05%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) 3) 2)
	50.52%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)))))) 2)
▶	52.25%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) 2)
	52.29%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 alpha 2) beta)) (-.f64 -2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	68.25%	(/.f64 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (.f64 -2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 2 (/.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	63.51%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	50.56%	(/.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4) -1))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 2)
✓	69.37%	(/.f64 (/.f64 2 alpha) 2)
	75.51%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	49.15%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	68.2%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	32.24%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	74.99%	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2)
✓	35.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	32.24%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	41.29%	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) 2)
	64.09%	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) 2)
▶	90.44%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	94.81%	(/.f64 (.f64 -1 (fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (/.f64 (.f64 beta beta) (*.f64 alpha alpha))))) 2)
▶	71.03%	(/.f64 (.f64 -1 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)
	67.51%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))) 2)
✓	70.51%	(/.f64 2 2)

Compiler

Compiled 1228 to 879 computations (28.4% saved)

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.38%	(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
	0.39%	(cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
✓	0.47%	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)
	5.98%	(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))

Compiler

Compiled 115 to 64 computations (44.3% saved)

series46.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)
9.0ms	alpha	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)
7.0ms	alpha	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)
5.0ms	beta	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)
4.0ms	alpha	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3)

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/l*`
1648×	`associate-/r/`
350×	`add-sqr-sqrt`
334×	`*-un-lft-identity`
332×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	360	74
2	4751	74

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify252.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1398×	`distribute-lft-in`
1386×	`distribute-rgt-in`
984×	`+-commutative`
786×	`associate-+r+`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	36975
1	2832	35475

Stop Event

1×	node limit

Counts

97 → 206

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3))
(*.f64 1 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3)) (.f64 beta (+.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 1/3)))) (.f64 (pow.f64 (.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/9) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9) (-.f64 (/.f64 1 (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))) (.f64 1/9 (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 2 alpha))) (.f64 -1 (/.f64 alpha (.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/9))))))))
(fma.f64 1 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (.f64 beta (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))) (.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1/18) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1/18)) (.f64 1/9 (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (neg.f64 alpha) (.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18)))))))))
(fma.f64 1 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (.f64 beta (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1/18) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1/18)) (.f64 1/9 (.f64 2 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 alpha 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) 1/18)))))))))
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(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) 1))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)))) 1/3))
(exp.f64 (.f64 1/3 (.f64 1/3 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))))
(exp.f64 (.f64 1/3 (.f64 1/3 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 2 (/.f64 beta alpha))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1380×	`add-cbrt-cube`
1366×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1847	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1662×	`distribute-lft-in`
1616×	`distribute-rgt-in`
1066×	`associate-r`
922×	`associate-l`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	531
1	144	417
2	541	297
3	3889	297

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.04%	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
✓	0.53%	(/.f64 4 (*.f64 alpha alpha))

Compiler

Compiled 50 to 31 computations (38% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	0	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
0.0ms	alpha	@	inf	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	-inf	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
0.0ms	alpha	@	inf	(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/r*`
928×	`*-commutative`
550×	`associate-/l*`
430×	`distribute-lft-in`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	210	32
2	3008	32

Stop Event

1×	node limit

Counts

2 → 239

Calls

Call 1

Inputs
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))

Outputs

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(2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))))))

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
868×	`associate-r`
744×	`associate-/r*`
724×	`associate-/l*`
666×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	11197
1	1763	10119

Stop Event

1×	node limit

Counts

263 → 326

Calls

Call 1

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

Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 4 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 2 (.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (sqrt.f64 (/.f64 2 alpha)) (.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (cbrt.f64 (/.f64 2 alpha)) (.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (pow.f64 alpha -2) 4)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (/.f64 1 alpha) (.f64 2 (/.f64 2 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 -4 (/.f64 (/.f64 -1 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 2 alpha)))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(.f64 (.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(.f64 (.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(.f64 (/.f64 2 alpha) (.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(*.f64 (/.f64 (/.f64 -1 alpha) alpha) -4)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(/.f64 (/.f64 4 (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 4 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1/3)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(neg.f64 (/.f64 (/.f64 4 alpha) (neg.f64 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (/.f64 -1 alpha) 2 (/.f64 2 alpha))))
(+.f64 (/.f64 -2 alpha) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (fma.f64 (/.f64 -1 alpha) 2 (/.f64 2 alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 alpha)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha))
(+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (fma.f64 (/.f64 -2 alpha) 1 (/.f64 2 alpha))))
(+.f64 (/.f64 -2 alpha) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (fma.f64 (/.f64 -1 alpha) 2 (/.f64 2 alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 alpha)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha))
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(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (/.f64 1 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 alpha -2) 3) 64) (/.f64 -8 (pow.f64 alpha 3))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (.f64 (.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (.f64 (.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (/.f64 alpha (/.f64 alpha (-.f64 4 (.f64 alpha 2)))) alpha) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (fabs.f64 (cbrt.f64 alpha))))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) 1) alpha)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (/.f64 alpha (/.f64 alpha (-.f64 4 (.f64 alpha 2)))) alpha) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (fabs.f64 (cbrt.f64 alpha))))
(/.f64 (/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 alpha alpha)) (*.f64 alpha 1/2))
(/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 (pow.f64 alpha 3) 1/2))
(/.f64 (+.f64 (/.f64 2 alpha) -1) (*.f64 alpha 1/2))
(/.f64 (/.f64 (neg.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2)))) (*.f64 alpha alpha)) (neg.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 alpha (.f64 2 (.f64 (/.f64 alpha 4) alpha))) (*.f64 (/.f64 alpha 4) alpha)) alpha)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha 1/2) (.f64 (/.f64 alpha 4) alpha)) (.f64 (/.f64 alpha 4) alpha)) (.f64 alpha 1/2))
(/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 (pow.f64 alpha 3) 1/2))
(/.f64 (+.f64 (/.f64 2 alpha) -1) (*.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) -1/4) -2)) (.f64 (/.f64 alpha 4) alpha)) (neg.f64 alpha))
(/.f64 (+.f64 (neg.f64 alpha) (.f64 alpha (.f64 alpha 1/2))) (.f64 (neg.f64 alpha) (.f64 alpha (/.f64 alpha 4))))
(/.f64 (-.f64 (.f64 alpha (.f64 alpha 1/2)) alpha) (/.f64 (neg.f64 (pow.f64 alpha 3)) 4))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) alpha) alpha)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) 1) (*.f64 alpha alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (.f64 alpha (+.f64 -2 (/.f64 4 alpha))) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (+.f64 4 (.f64 alpha -2)) (.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (.f64 alpha (+.f64 -2 (/.f64 4 alpha))) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (+.f64 4 (.f64 alpha -2)) (.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 alpha (/.f64 4 alpha)) (.f64 alpha 2)) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (.f64 alpha 1/2)) alpha) alpha) (*.f64 alpha 1/2))
(/.f64 (-.f64 (.f64 4 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 (pow.f64 alpha 3) 1/2))
(/.f64 (+.f64 (/.f64 2 alpha) -1) (*.f64 alpha 1/2))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) alpha) (neg.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) 1) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (.f64 alpha (+.f64 -2 (/.f64 4 alpha))) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (+.f64 4 (.f64 alpha -2)) (.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (neg.f64 alpha)) alpha)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (sqrt.f64 (.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (.f64 (cbrt.f64 (.f64 alpha (neg.f64 alpha))) (cbrt.f64 (.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) -1) (*.f64 alpha alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 4 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (.f64 alpha (+.f64 -2 (/.f64 4 alpha))) (.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (+.f64 4 (.f64 alpha -2)) (.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (+.f64 (.f64 alpha -4) (.f64 alpha (.f64 alpha 2))) (.f64 alpha (neg.f64 alpha))) alpha)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 alpha 1/2) -4) (.f64 alpha alpha)) (.f64 alpha (neg.f64 alpha))) (*.f64 alpha 1/2))
(/.f64 (+.f64 (.f64 alpha alpha) (.f64 alpha -2)) (.f64 (.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (.f64 alpha (+.f64 alpha -2)) (.f64 1/2 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 (.f64 -4 (neg.f64 alpha)) (.f64 (.f64 alpha alpha) -2)) (.f64 alpha (neg.f64 alpha))) (neg.f64 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 1)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 3)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3) 1/3)
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))))
(/.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 alpha -2) -4 (/.f64 16 (pow.f64 alpha 4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 alpha -2) 3) 64)) (/.f64 8 (pow.f64 alpha 3))) (-.f64 (/.f64 -16 (pow.f64 alpha 4)) (fma.f64 4 (pow.f64 alpha -2) (/.f64 8 (pow.f64 alpha 3)))))
(neg.f64 (/.f64 (.f64 alpha (-.f64 4 (.f64 alpha 2))) (neg.f64 (pow.f64 alpha 3))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) 2))
(fabs.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(fma.f64 4 (pow.f64 alpha -2) (/.f64 -2 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) (/.f64 -2 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(fma.f64 1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (/.f64 -2 alpha))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
✓	0.53%	(/.f64 6 (*.f64 alpha alpha))
✓	13.52%	(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
✓	28.03%	(/.f64 (.f64 beta beta) (.f64 alpha alpha))

Compiler

Compiled 112 to 49 computations (56.3% saved)

series23.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Expression
18.0ms	alpha	@	(/.f64 6 (*.f64 alpha alpha))
1.0ms	beta	@	(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
1.0ms	beta	@	(/.f64 (.f64 beta beta) (.f64 alpha alpha))
0.0ms	alpha	@	(/.f64 (.f64 beta beta) (.f64 alpha alpha))
0.0ms	alpha	@	(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`distribute-rgt-in`
750×	`distribute-lft-in`
734×	`associate-/r/`
546×	`associate-/l/`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	342	90
2	5000	90

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

Inputs
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))
(/.f64 6 (*.f64 alpha alpha))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))

Outputs
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alpha alpha) 1/6) 2)) (.f64 (.f64 (.f64 alpha alpha) 1/6) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 alpha 1/2) (.f64 (.f64 (.f64 alpha alpha) 1/6) 1)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) 1/6) -2)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 6 alpha) alpha) (.f64 alpha 2)) (.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 6 alpha) (.f64 alpha 1/2)) alpha) (.f64 alpha (.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 6 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -6 alpha) (.f64 (.f64 alpha (neg.f64 alpha)) 2)) (.f64 (.f64 alpha (neg.f64 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -6 (.f64 alpha 1/2)) (.f64 (.f64 alpha (neg.f64 alpha)) 1)) (.f64 (.f64 alpha (neg.f64 alpha)) (.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -6 (neg.f64 alpha)) (.f64 (.f64 alpha (neg.f64 alpha)) -2)) (.f64 (.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 4 (.f64 alpha alpha)))) (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 36 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 alpha 6) (.f64 alpha (.f64 alpha 2)))) (neg.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 6 (pow.f64 alpha -2)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (.f64 6 (pow.f64 alpha -2))) (/.f64 -2 alpha))))))

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-r`
1010×	`fma-def`
832×	`associate-l`
818×	`times-frac`
744×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	13698
1	1855	11818

Stop Event

1×	node limit

Counts

302 → 366

Calls

Call 1

Inputs
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(/.f64 (+.f64 (.f64 6 beta) (.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (pow.f64 alpha 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2))) 1)
(.f64 beta (.f64 beta (pow.f64 alpha -2)))
(.f64 beta (.f64 (pow.f64 alpha -2) beta))
(.f64 (.f64 beta beta) (pow.f64 alpha -2))
(*.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(*.f64 1 (pow.f64 (/.f64 beta alpha) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) (cbrt.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)))
(.f64 (cbrt.f64 (pow.f64 beta 4)) (.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 alpha -2)))
(.f64 (.f64 (/.f64 beta alpha) beta) (pow.f64 alpha -1))
(.f64 (pow.f64 alpha -2) (.f64 beta beta))
(.f64 (pow.f64 alpha -1) (.f64 (/.f64 beta alpha) beta))
(*.f64 (/.f64 beta alpha) (/.f64 beta alpha))
(.f64 (neg.f64 (.f64 beta beta)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (.f64 beta beta) (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 beta 1) (/.f64 beta (.f64 alpha alpha)))
(.f64 (/.f64 beta (.f64 alpha alpha)) beta)
(.f64 (.f64 (pow.f64 alpha -2) beta) beta)
(.f64 (/.f64 1 (.f64 alpha (neg.f64 alpha))) (neg.f64 (*.f64 beta beta)))
(*.f64 (/.f64 beta (cbrt.f64 (pow.f64 alpha 4))) (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) alpha) (/.f64 (cbrt.f64 (.f64 beta beta)) alpha))
(.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) 1) (/.f64 (cbrt.f64 (.f64 beta beta)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)))
(.f64 (/.f64 beta (.f64 alpha (neg.f64 alpha))) (neg.f64 beta))
(.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) 1)) beta)
(.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) (sqrt.f64 beta))) (sqrt.f64 beta))
(.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) (cbrt.f64 (*.f64 beta beta)))) (cbrt.f64 beta))
(.f64 (/.f64 1 (/.f64 (.f64 alpha alpha) (cbrt.f64 (pow.f64 beta 4)))) (cbrt.f64 (*.f64 beta beta)))
(.f64 (/.f64 (sqrt.f64 beta) (.f64 (/.f64 alpha beta) alpha)) (sqrt.f64 beta))
(.f64 (/.f64 (cbrt.f64 (.f64 beta beta)) (*.f64 (/.f64 alpha beta) alpha)) (cbrt.f64 beta))
(.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (.f64 alpha alpha)) (cbrt.f64 (*.f64 beta beta)))
(pow.f64 (pow.f64 (/.f64 beta alpha) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3) 1/3)
(pow.f64 (/.f64 (.f64 alpha alpha) (.f64 beta beta)) -1)
(pow.f64 (/.f64 beta alpha) 2)
(neg.f64 (/.f64 (.f64 beta beta) (.f64 alpha (neg.f64 alpha))))
(sqrt.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 beta alpha) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 beta beta) 3) (pow.f64 (.f64 alpha alpha) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 beta alpha) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 beta alpha))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2) (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2) (.f64 (*.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1))
(+.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))
(+.f64 (.f64 beta (.f64 6 (pow.f64 alpha -2))) (+.f64 (.f64 beta (/.f64 -2 alpha)) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))
(+.f64 (.f64 (.f64 6 (pow.f64 alpha -2)) beta) (+.f64 (.f64 (/.f64 -2 alpha) beta) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))
(+.f64 (.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2))
(+.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2) (.f64 beta (.f64 6 (pow.f64 alpha -2)))) (.f64 beta (/.f64 -2 alpha)))
(+.f64 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2) (.f64 (.f64 6 (pow.f64 alpha -2)) beta)) (.f64 (/.f64 -2 alpha) beta))
(+.f64 (.f64 1 (.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1)) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))
(+.f64 (.f64 (.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1) 1) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))) (-.f64 1 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha))))
(-.f64 (+.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) (exp.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))) 1)
(-.f64 (+.f64 (.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))) 1)
(.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)) 1)
(.f64 1 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))
(.f64 (sqrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))) (sqrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2))))
(.f64 (cbrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2))) 2) (cbrt.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 2))))
(/.f64 (-.f64 (.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha))) (.f64 4 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)))) (-.f64 (.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) (.f64 (pow.f64 (/.f64 beta alpha) 2) 2)))
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(/.f64 (-.f64 (.f64 (.f64 alpha 6) (.f64 alpha 6)) (.f64 (.f64 alpha (.f64 alpha 2)) (.f64 alpha (.f64 alpha 2)))) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 alpha 6) (.f64 alpha (.f64 alpha 2)))))
(/.f64 (-.f64 (.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 216 (pow.f64 (.f64 alpha alpha) 3))) (.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 8 (pow.f64 alpha 3)))) (.f64 (+.f64 (/.f64 36 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3)))) (+.f64 (/.f64 216 (pow.f64 (*.f64 alpha alpha) 3)) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (-.f64 (.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 36 (pow.f64 alpha 4))) (.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha)))) (.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 36 (pow.f64 alpha 4)))))
(/.f64 (+.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (/.f64 -2 alpha) 3)) (+.f64 (/.f64 36 (pow.f64 alpha 4)) (-.f64 (.f64 (/.f64 -2 alpha) (/.f64 -2 alpha)) (.f64 (.f64 6 (pow.f64 alpha -2)) (/.f64 -2 alpha)))))
(/.f64 (-.f64 (pow.f64 (.f64 alpha 6) 3) (pow.f64 (.f64 alpha (.f64 alpha 2)) 3)) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 (.f64 alpha 6) (.f64 alpha 6)) (+.f64 (.f64 (.f64 alpha (.f64 alpha 2)) (.f64 alpha (.f64 alpha 2))) (.f64 (.f64 alpha 6) (.f64 alpha (.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) 3) (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3)) (.f64 (+.f64 (/.f64 36 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3)))) (+.f64 (.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 216 (pow.f64 (.f64 alpha alpha) 3))) (+.f64 (.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 8 (pow.f64 alpha 3))) (.f64 (/.f64 216 (pow.f64 (*.f64 alpha alpha) 3)) (/.f64 8 (pow.f64 alpha 3)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 36 (pow.f64 alpha 4)) 3) (pow.f64 (/.f64 4 (.f64 alpha alpha)) 3)) (.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 36 (pow.f64 alpha 4))) (+.f64 (.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 4 (.f64 alpha alpha))) (.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 4 (.f64 alpha alpha)))))))
(/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)
(/.f64 (-.f64 (.f64 6 (.f64 alpha 1/2)) (.f64 alpha alpha)) (.f64 (.f64 alpha alpha) (.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 6 (neg.f64 alpha)) (.f64 (.f64 alpha alpha) -2)) (.f64 (*.f64 alpha alpha) (neg.f64 alpha)))
(/.f64 (-.f64 alpha (.f64 (.f64 (.f64 alpha alpha) 1/6) 2)) (.f64 (.f64 (.f64 alpha alpha) 1/6) alpha))
(/.f64 (-.f64 (.f64 alpha 1/2) (.f64 (.f64 (.f64 alpha alpha) 1/6) 1)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (.f64 alpha 1/2)))
(/.f64 (-.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) 1/6) -2)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) alpha) (.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) (.f64 alpha 1/2)) alpha) (.f64 alpha (.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 -6 alpha) (.f64 (.f64 alpha (neg.f64 alpha)) 2)) (.f64 (*.f64 alpha (neg.f64 alpha)) alpha))
(/.f64 (-.f64 (.f64 -6 (.f64 alpha 1/2)) (.f64 (.f64 alpha (neg.f64 alpha)) 1)) (.f64 (.f64 alpha (neg.f64 alpha)) (*.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 -6 (neg.f64 alpha)) (.f64 (.f64 alpha (neg.f64 alpha)) -2)) (.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha)))) (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (neg.f64 (-.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 36 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (-.f64 (.f64 alpha 6) (.f64 alpha (*.f64 alpha 2)))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))
(fma.f64 1 (*.f64 6 (pow.f64 alpha -2)) (/.f64 -2 alpha))
(fma.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) (/.f64 -2 alpha))

Outputs
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(.f64 beta (/.f64 beta (.f64 alpha alpha)))
(pow.f64 (/.f64 beta alpha) 2)
(.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)))
(*.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (.f64 2 (.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 2 (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (.f64 2 (.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 2 (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (.f64 2 (.f64 beta beta)) (.f64 alpha alpha)))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha) (*.f64 2 (pow.f64 (/.f64 beta alpha) 2)))
(/.f64 (+.f64 (.f64 6 beta) (.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (fma.f64 6 beta (.f64 2 (.f64 beta beta))) (*.f64 alpha alpha))
(/.f64 (fma.f64 2 (.f64 beta beta) (.f64 beta 6)) (*.f64 alpha alpha))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(*.f64 -2 (/.f64 beta alpha))
(*.f64 beta (/.f64 -2 alpha))
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(*.f64 -2 (/.f64 beta alpha))
(*.f64 beta (/.f64 -2 alpha))
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(+.f64 (.f64 -2 (/.f64 beta alpha)) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 beta alpha) (fma.f64 2 (.f64 beta (/.f64 beta (.f64 alpha alpha))) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(fma.f64 beta (/.f64 -2 alpha) (fma.f64 2 (pow.f64 (/.f64 beta alpha) 2) (.f64 6 (/.f64 beta (.f64 alpha alpha)))))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(/.f64 6 (pow.f64 alpha 2))
(/.f64 6 (*.f64 alpha alpha))
(*.f64 6 (pow.f64 alpha -2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
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(/.f64 (-.f64 alpha (.f64 (.f64 alpha alpha) 1/3)) (.f64 alpha (.f64 alpha (*.f64 alpha 1/6))))
(/.f64 (+.f64 alpha (.f64 alpha (.f64 alpha -1/3))) (*.f64 1/6 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 alpha 1/2) (.f64 (.f64 (.f64 alpha alpha) 1/6) 1)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 alpha 1/2) (.f64 alpha (.f64 alpha 1/6))) (.f64 (.f64 alpha alpha) (.f64 1/6 (*.f64 alpha 1/2))))
(/.f64 (.f64 alpha (-.f64 1/2 (.f64 alpha 1/6))) (.f64 1/2 (.f64 1/6 (pow.f64 alpha 3))))
(/.f64 (-.f64 (neg.f64 alpha) (.f64 (.f64 (.f64 alpha alpha) 1/6) -2)) (.f64 (.f64 (.f64 alpha alpha) 1/6) (neg.f64 alpha)))
(/.f64 (-.f64 (neg.f64 alpha) (.f64 (.f64 alpha alpha) -1/3)) (.f64 (neg.f64 alpha) (.f64 alpha (*.f64 alpha 1/6))))
(/.f64 (fma.f64 -1 alpha (.f64 alpha (.f64 alpha 1/3))) (neg.f64 (*.f64 1/6 (pow.f64 alpha 3))))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) alpha) (.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (.f64 alpha 6) alpha) (.f64 2 alpha)) (*.f64 alpha alpha))
(/.f64 (.f64 alpha (+.f64 -2 (/.f64 6 alpha))) (.f64 alpha alpha))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) (.f64 alpha 1/2)) alpha) (.f64 alpha (.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha 6) alpha) 1/2) alpha) (.f64 alpha (.f64 alpha 1/2)))
(/.f64 (-.f64 (/.f64 (.f64 alpha 3) alpha) alpha) (.f64 alpha (*.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 6 alpha) (neg.f64 alpha)) (.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 (neg.f64 alpha) (/.f64 6 alpha)) (.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (.f64 (neg.f64 alpha) (+.f64 -2 (/.f64 6 alpha))) (.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 -6 alpha) (.f64 (.f64 alpha (neg.f64 alpha)) 2)) (.f64 (*.f64 alpha (neg.f64 alpha)) alpha))
(/.f64 (-.f64 (.f64 6 (neg.f64 alpha)) (.f64 alpha (*.f64 alpha -2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (.f64 alpha (-.f64 -6 (.f64 alpha -2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 -6 (.f64 alpha 1/2)) (.f64 (.f64 alpha (neg.f64 alpha)) 1)) (.f64 (.f64 alpha (neg.f64 alpha)) (*.f64 alpha 1/2)))
(/.f64 (-.f64 (.f64 -6 (.f64 alpha 1/2)) (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 (pow.f64 alpha 3)) 1/2))
(/.f64 (+.f64 (.f64 alpha alpha) (.f64 alpha -3)) (neg.f64 (*.f64 (pow.f64 alpha 3) 1/2)))
(/.f64 (-.f64 (.f64 -6 (neg.f64 alpha)) (.f64 (.f64 alpha (neg.f64 alpha)) -2)) (.f64 (*.f64 alpha (neg.f64 alpha)) (neg.f64 alpha)))
(.f64 (.f64 alpha (-.f64 6 (*.f64 2 alpha))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 6 (*.f64 alpha -2))))
(/.f64 (neg.f64 (-.f64 (/.f64 36 (pow.f64 alpha 4)) (/.f64 4 (*.f64 alpha alpha)))) (neg.f64 (fma.f64 6 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (-.f64 (/.f64 -36 (pow.f64 alpha 4)) (/.f64 -4 (.f64 alpha alpha))) (+.f64 (.f64 (pow.f64 alpha -2) -6) (/.f64 -2 alpha)))
(/.f64 (neg.f64 (-.f64 (/.f64 216 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 36 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 12 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (+.f64 (/.f64 216 (pow.f64 alpha 6)) (/.f64 -8 (pow.f64 alpha 3)))) (+.f64 (/.f64 -36 (pow.f64 alpha 4)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -12 (pow.f64 alpha 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 alpha 6) (.f64 alpha (*.f64 alpha 2)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 6 (neg.f64 alpha)) (.f64 alpha (*.f64 alpha -2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (.f64 alpha (-.f64 -6 (.f64 alpha -2))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 1)
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 2)
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 3)
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3) 1/3)
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 6 alpha) -2) alpha) 2))
(fabs.f64 (/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha))))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha) 3))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)) 1))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(fma.f64 6 (pow.f64 alpha -2) (/.f64 -2 alpha))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(fma.f64 1 (*.f64 6 (pow.f64 alpha -2)) (/.f64 -2 alpha))
(-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha))
(/.f64 (+.f64 -2 (/.f64 6 alpha)) alpha)
(fma.f64 (/.f64 (sqrt.f64 6) alpha) (/.f64 (sqrt.f64 6) alpha) (/.f64 -2 alpha))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 6) alpha) 2) (/.f64 -2 alpha))
(+.f64 (/.f64 -2 alpha) (pow.f64 (/.f64 (sqrt.f64 6) alpha) 2))
(fma.f64 (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (*.f64 6 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 36 (pow.f64 alpha 4))) (/.f64 -2 alpha))

localize111.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.16%	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)
✓	5.98%	(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))
✓	8.39%	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
	8.47%	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))

Compiler

Compiled 372 to 214 computations (42.5% saved)

series39.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
5.0ms	beta	@	inf	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
4.0ms	alpha	@	-inf	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
4.0ms	alpha	@	inf	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))
4.0ms	alpha	@	0	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`+-commutative`
474×	`add-sqr-sqrt`
458×	`*-un-lft-identity`
456×	`pow1`
444×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	445	99
2	6779	99

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))

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

(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))))))

simplify252.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-+r+`
1390×	`associate-r`
1204×	`associate-+l+`
1120×	`associate-l`
566×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	31325
1	3222	31199

Stop Event

1×	node limit

Counts

153 → 312

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 beta (.f64 (+.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))) (pow.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (+.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))) (pow.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 3))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.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))) 2) (.f64 -2 (/.f64 (.f64 (pow.f64 alpha 3) (+.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)))))) (pow.f64 (+.f64 2 alpha) 3)))))))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (+.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))) (pow.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.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))) 2) (.f64 -2 (/.f64 (.f64 (pow.f64 alpha 3) (+.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)))))) (pow.f64 (+.f64 2 alpha) 3)))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -2 (/.f64 (.f64 (+.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 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))))) (/.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))))) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 3))) (.f64 2 (.f64 (+.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 (.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 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(/.f64 (-.f64 (+.f64 12 (+.f64 (.f64 4 alpha) (.f64 2 alpha))) (+.f64 (.f64 -2 alpha) (.f64 -4 alpha))) beta)
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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
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1
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(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))) (-.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 3))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(+.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(+.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1))
(+.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1)
(+.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (-.f64 1 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (-.f64 1 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))
(+.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 1) 1)
(*.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3)) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))))
(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6) 1)
(*.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))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)))
(*.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (.f64 (.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))

Outputs
(-.f64 1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(-.f64 1 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 alpha 2) 6)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 beta (.f64 (+.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))) (pow.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
(+.f64 1 (-.f64 (.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (.f64 (.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)))) (pow.f64 alpha 3))))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 alpha 2) 6))))
(+.f64 1 (-.f64 (/.f64 (.f64 (.f64 2 beta) (.f64 (.f64 (pow.f64 alpha 3) 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))))) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 alpha 2) 6))))
(-.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 (.f64 beta (.f64 (+.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))) (pow.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 3))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.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))) 2) (.f64 -2 (/.f64 (.f64 (pow.f64 alpha 3) (+.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)))))) (pow.f64 (+.f64 2 alpha) 3)))))))) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 alpha) 6)))
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(/.f64 (.f64 (+.f64 (.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (-.f64 beta (+.f64 (neg.f64 beta) -2))) 2) alpha)
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2
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2
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 12)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 12)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 6))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 12))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 18))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 18))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)
(exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (.f64 (.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)

eval3.2s (16.9%)

Compiler: Compiled 131258 to 94606 computations (27.9% saved)

prune509.0ms (2.7%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	1587	5	1592
Fresh	1	11	12
Picked	1	0	1
Done	2	9	11
Total	1591	25	1616

Error

Counts

1616 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.2%	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) 3) 2)
✓	32.9%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) 2)
	68.05%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) 3) 2)
	50.52%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha)))))) 2)
	53.89%	(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) 2)
	52.29%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (+.f64 alpha 2) beta)) (-.f64 -2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	68.25%	(/.f64 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (.f64 -2 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (.f64 2 (/.f64 (-.f64 beta (.f64 -1 (+.f64 beta 2))) alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	63.51%	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	50.56%	(/.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 4) -1))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 2)
✓	69.37%	(/.f64 (/.f64 2 alpha) 2)
	95.9%	(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2)
	75.51%	(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
	49.15%	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	68.2%	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
✓	32.24%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	74.99%	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2)
✓	35.3%	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	32.24%	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	41.29%	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha beta))) (-.f64 (.f64 beta beta) (.f64 alpha alpha))) 1) 2)
✓	90.44%	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	94.91%	(/.f64 (.f64 -1 (fma.f64 beta (/.f64 -2 alpha) (.f64 2 (/.f64 (.f64 beta beta) (.f64 alpha alpha))))) 2)
	71.03%	(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
	67.51%	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)))) 2)
	91.68%	(/.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) 2) (*.f64 beta (/.f64 (-.f64 (/.f64 6 alpha) 2) alpha)))) 2)
✓	70.51%	(/.f64 2 2)

Compiler

Compiled 664 to 485 computations (27% saved)

regimes135.0ms (0.7%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	beta
31.0ms	alpha
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.6%	2	`alpha`
30.36%	3	`beta`
0.34%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.34%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.34%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 1044 to 687 computations (34.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999780311	-0.9999990805152079

Compiler

Compiled 20 to 15 computations (25% saved)

regimes88.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) 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 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2)
(/.f64 (.f64 -1 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

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

Calls

5 calls:

51.0ms	beta
15.0ms	alpha
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.6%	2	`alpha`
30.41%	3	`beta`
0.35%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.35%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.35%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 181 to 133 computations (26.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999780311	-0.9999990805152079

Compiler

Compiled 20 to 15 computations (25% saved)

regimes35.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

Inputs
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) 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 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2)
(/.f64 (.f64 -1 (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))) 2)

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

Calls

2 calls:

19.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
5.08%	2	`alpha`
30.92%	3	`beta`

Compiler

Compiled 116 to 90 computations (22.4% saved)

bsearch57.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	259213.64386162296	782194.3831934506

Results

56.0ms

80×

body

256

valid

Compiler

Compiled 140 to 115 computations (17.9% saved)

regimes127.0ms (0.7%)

Counts

8 → 2

Calls

Call 1

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

Calls

2 calls:

115.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
11.3%	2	`alpha`
26.43%	7	`beta`

Compiler

Compiled 61 to 48 computations (21.3% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	259213.64386162296	782194.3831934506

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 120 to 100 computations (16.7% saved)

regimes40.0ms (0.2%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
39.3%	6	`alpha`
46.87%	3	`beta`

Compiler

Compiled 43 to 34 computations (20.9% saved)

bsearch52.0ms (0.3%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	259213.64386162296	782194.3831934506
9.0ms	5.467332983250835e-205	1.2414891765873811e-204
15.0ms	5.609734898516604e-305	8.1075535666554e-301
15.0ms	-4.896062587799265e-284	-1.6211514581417202e-287
2.0ms	-4.733091605008596e-231	-4.48725480821156e-231

Results

45.0ms

432×

body

256

valid

Compiler

Compiled 464 to 410 computations (11.6% saved)

regimes17.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
46.51%	2	`alpha`
50.92%	2	`beta`

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	259213.64386162296	782194.3831934506

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

regimes7.0ms (0%)

Accuracy

Total -16.7b remaining (-37%)

Threshold costs -16.7b (-37%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

4.0ms	alpha
3.0ms	beta

Results

Error	Segments	Branch
70.51%	1	`alpha`
70.51%	1	`beta`

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	433
1	83	425
2	89	425
3	92	425
4	93	425

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 260000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 290000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3932954944858927/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 2 2) (if (<=.f64 alpha -5657565445943491/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2) (if (<=.f64 alpha 5732095064367195/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (/.f64 2 2) (if (<=.f64 alpha 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2) (if (<=.f64 alpha 290000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha 500000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 260000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 260000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 290000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 290000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3932954944858927/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 2 2) (if (<=.f64 alpha -5657565445943491/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2) (if (<=.f64 alpha 5732095064367195/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) (/.f64 2 2) (if (<=.f64 alpha 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 (/.f64 (neg.f64 alpha) beta) 1) 2) (if (<=.f64 alpha 290000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -3932954944858927/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) 1 (if (<=.f64 alpha -5657565445943491/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (/.f64 (+.f64 1 (/.f64 (neg.f64 alpha) beta)) 2) (if (<=.f64 alpha 5732095064367195/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) 1 (if (<=.f64 alpha 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (+.f64 1 (/.f64 (neg.f64 alpha) beta)) 2) (if (<=.f64 alpha 290000) 1 (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -3932954944858927/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) 1 (if (<=.f64 alpha -5657565445943491/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (/.f64 (-.f64 1 (/.f64 alpha beta)) 2) (if (<=.f64 alpha 5732095064367195/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) 1 (if (<=.f64 alpha 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (/.f64 (-.f64 1 (/.f64 alpha beta)) 2) (if (<=.f64 alpha 290000) 1 (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha 500000) (/.f64 2 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 500000) 1 (/.f64 (/.f64 2 alpha) 2))
(/.f64 2 2)
1

Compiler

Compiled 177 to 132 computations (25.4% saved)

soundness365.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

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	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
1×	node limit

Compiler

Compiled 56 to 38 computations (32.1% saved)

end79.0ms (0.4%)

Compiler: Compiled 165 to 118 computations (28.5% saved)