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)

sample2.2s (11%)

Results

1.1s	6507×	body	256	valid
916.0ms	1081×	body	1024	valid
115.0ms	588×	body	512	valid
29.0ms	80×	body	2048	valid

Bogosity

preprocess68.0ms (0.3%)

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)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	25	37
2	41	37
3	69	37
4	117	37
5	255	33
6	463	33
7	845	33
8	1720	33
9	3940	33

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4)))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

16.9b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.9b	(/.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
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	0.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series31.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	alpha	@	inf	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite140.0ms (0.7%)

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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simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	12724
1	2161	12284

Stop Event

1×	node limit

Counts

182 → 354

Calls

Call 1

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

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

eval303.0ms (1.5%)

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

prune91.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	338	16	354
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	338	17	355

Error

0.1b

Counts

355 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(/.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)
▶	44.6b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	16.9b	(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
▶	45.8b	(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
	32.7b	(/.f64 (-.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))) 2)
▶	16.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	46.7b	(/.f64 (+.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)))))) 2)
	46.0b	(/.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)
✓	16.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	16.9b	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	23.3b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2)
	61.5b	(/.f64 (+.f64 -1 1) 2)
	32.7b	(/.f64 (*.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)) 2)
	45.8b	(/.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
▶	41.3b	(/.f64 2 2)

Compiler

Compiled 857 to 633 computations (26.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
✓	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	0.9b	(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

Compiler

Compiled 73 to 47 computations (35.6% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite182.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-/r/`
904×	`associate-/l/`
404×	`+-commutative`
378×	`associate-+l+`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	321	100
2	5017	100

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

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

simplify200.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-r`
1054×	`*-commutative`
1024×	`distribute-lft-in`
1006×	`associate-l`
810×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	19495
1	2663	19401

Stop Event

1×	node limit

Counts

323 → 530

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

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)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)
✓	0.0b	(/.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))))
✓	2.0b	(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))
✓	2.8b	(-.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	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))))
4.0ms	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))))
3.0ms	alpha	@	inf	(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))
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))))
2.0ms	alpha	@	inf	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)

rewrite122.0ms (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)))
(/.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))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)

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

simplify530.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1490×	`associate-r`
1442×	`+-commutative`
1218×	`associate-l`
966×	`associate-+r+`
794×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1131	35592
1	3759	35206

Stop Event

1×	node limit

Counts

282 → 537

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

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

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))
✓	2.5b	(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta))))
✓	2.8b	(fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))
✓	9.0b	(/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))

Compiler

Compiled 141 to 80 computations (43.3% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite168.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`associate-/l/`
426×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
414×	`pow1`
394×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	186
1	415	168
2	6121	168

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify181.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1090×	`associate-+l+`
788×	`associate-r`
784×	`associate-+r+`
756×	`associate-l`
672×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	599	24944
1	1756	22338

Stop Event

1×	node limit

Counts

330 → 400

Calls

Call 1

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

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

eval1.6s (8.1%)

Compiler: Compiled 75794 to 52634 computations (30.6% saved)

prune564.0ms (2.8%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1499	12	1511
Fresh	6	5	11
Picked	1	0	1
Done	1	4	5
Total	1507	21	1528

Error

0.0b

Counts

1528 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	33.7b	(/.f64 (/.f64 (-.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha (neg.f64 beta))) (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
✓	44.6b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	48.5b	(/.f64 (/.f64 2 alpha) 2)
	16.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) 2)
▶	32.7b	(/.f64 (-.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))) 2)
	45.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) 2)
✓	16.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	46.7b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
	46.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	49.8b	(/.f64 (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
	58.4b	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) -2) (.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
▶	58.8b	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
▶	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	16.9b	(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2)
	23.3b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2)
	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	57.7b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	41.3b	(/.f64 2 2)

Compiler

Compiled 906 to 642 computations (29.1% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
	0.0b	(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
	0.0b	(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
✓	0.9b	(+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)

Compiler

Compiled 79 to 50 computations (36.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite198.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`associate-/l*`
1664×	`associate-/r/`
448×	`associate-+l+`
384×	`+-commutative`
316×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	294	56
2	4687	56

Stop Event

1×	node limit

Counts

2 → 266

Calls

Call 1

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

Outputs

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

simplify202.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/l*`
966×	`+-commutative`
900×	`*-commutative`
824×	`associate-r`
672×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	873	28924
1	2936	28484

Stop Event

1×	node limit

Counts

314 → 553

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

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

localize5.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.0b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule 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(/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule 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2))))))))

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 257

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)))
(+.f64 (.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4))))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (.f64 alpha (+.f64 alpha -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))

Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 alpha (.f64 alpha 1/4))))
(+.f64 1 (.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (.f64 alpha (.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(+.f64 (.f64 alpha (+.f64 -1/2 (.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (.f64 1/2 alpha) (.f64 -1/4 (pow.f64 alpha 2)))
(fma.f64 1/2 alpha (.f64 -1/4 (.f64 alpha alpha)))
(fma.f64 alpha 1/2 (.f64 alpha (.f64 alpha -1/4)))
(.f64 alpha (+.f64 1/2 (.f64 alpha -1/4)))
(+.f64 (.f64 1/2 alpha) (+.f64 (.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (.f64 -1/4 (.f64 alpha alpha))))
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(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(+.f64 (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(+.f64 (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 -2 alpha))) (.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha alpha)))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(+.f64 (.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4))))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(+.f64 (.f64 (+.f64 4 (.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (.f64 (.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 alpha (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (.f64 alpha (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha))
(.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(.f64 (/.f64 alpha (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (.f64 alpha (+.f64 alpha -2)))))
(/.f64 (.f64 alpha (+.f64 -4 (.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3)))
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4)))
(.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2))
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(.f64 (/.f64 alpha (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))
(.f64 (/.f64 alpha (.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2)))
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2)))
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))
(fabs.f64 (/.f64 alpha (+.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1))
(/.f64 alpha (+.f64 alpha 2))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
✓	8.8b	(.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)))
	9.0b	(/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))
✓	15.6b	(/.f64 (.f64 beta beta) (.f64 alpha alpha))

Compiler

Compiled 171 to 78 computations (54.4% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)))
2.0ms	beta	@	inf	(.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)))
1.0ms	beta	@	0	(.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha)))
1.0ms	beta	@	0	(/.f64 (.f64 beta beta) (.f64 alpha alpha))
0.0ms	alpha	@	0	(/.f64 (.f64 beta beta) (.f64 alpha alpha))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`distribute-lft-in`
834×	`associate-/r/`
712×	`associate-/l/`
338×	`add-sqr-sqrt`
328×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	105
1	328	77
2	5080	77

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-/l/`
930×	`associate-/r/`
666×	`+-commutative`
556×	`associate-+r+`
550×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	9792
1	999	8114
2	4520	8092

Stop Event

1×	node limit

Counts

198 → 216

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

Outputs
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
(/.f64 (.f64 beta beta) (.f64 alpha alpha))
(pow.f64 (/.f64 beta alpha) 2)
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))
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(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 1 (pow.f64 (/.f64 beta alpha) 2) (*.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 1 (*.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 (sqrt.f64 (.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))) (sqrt.f64 (.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))) (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))) 2) (cbrt.f64 (.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))) (pow.f64 (/.f64 beta alpha) 2))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 beta alpha) 2)) (*.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))
(fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (*.f64 beta (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))
(fma.f64 beta (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha) (pow.f64 (/.f64 beta alpha) 2))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
✓	0.0b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
✓	2.0b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
✓	2.6b	(-.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)))

Compiler

Compiled 161 to 94 computations (41.6% saved)

series56.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	beta	@	inf	(-.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)))
7.0ms	beta	@	0	(-.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)))
7.0ms	alpha	@	0	(-.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)))
7.0ms	beta	@	-inf	(-.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)))
7.0ms	alpha	@	-inf	(-.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)))

rewrite268.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`associate-/l/`
432×	`+-commutative`
404×	`add-sqr-sqrt`
394×	`*-un-lft-identity`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	172
1	388	130
2	5973	130

Stop Event

1×	node limit

Counts

4 → 273

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (fma.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) 1 (/.f64 -1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) -1/2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) -1/2) (/.f64 -1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (cbrt.f64 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simplify586.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1086×	`*-commutative`
920×	`+-commutative`
780×	`associate--l+`
626×	`associate--r+`
570×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1825	70785
1	6860	70717

Stop Event

1×	node limit

Counts

369 → 667

Calls

Call 1

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

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

eval3.1s (15.4%)

Compiler: Compiled 132686 to 91417 computations (31.1% saved)

prune1.1s (5.5%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	2183	9	2192
Fresh	2	10	12
Picked	1	0	1
Done	2	6	8
Total	2188	25	2213

Error

0.0b

Counts

2213 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	33.7b	(/.f64 (/.f64 (-.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha (neg.f64 beta))) (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
	32.2b	(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
✓	44.6b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	48.5b	(/.f64 (/.f64 2 alpha) 2)
	16.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) 2)
	32.7b	(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
	45.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) 2)
✓	16.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	46.7b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
	46.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	49.5b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	49.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
	58.4b	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) -2) (.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
	58.8b	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (/.f64 -2 alpha)))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
✓	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	33.6b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	49.3b	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
▶	16.9b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
▶	23.3b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2)
	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	57.7b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	41.3b	(/.f64 2 2)
▶	32.5b	(/.f64 1 2)

Compiler

Compiled 956 to 701 computations (26.7% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
✓	0.9b	(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)

Compiler

Compiled 65 to 38 computations (41.5% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
1.0ms	beta	@	0	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms	alpha	@	0	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms	alpha	@	inf	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms	alpha	@	-inf	(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-/l*`
1136×	`associate-/r/`
622×	`associate-/l/`
312×	`+-commutative`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	287	81
2	4226	81

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

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

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 (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (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 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 (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2)) (-.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)) (+.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 (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -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 (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -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 (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (-.f64 1 (/.f64 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simplify184.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`*-commutative`
962×	`distribute-lft-in`
900×	`+-commutative`
836×	`associate-r`
770×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	17940
1	2810	17354

Stop Event

1×	node limit

Counts

276 → 529

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

localize3.0ms (0%)

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def`
832×	`times-frac`
784×	`associate-/l*`
770×	`unswap-sqr`
644×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2706
1	481	2460
2	1722	2280

Stop Event

1×	node limit

Counts

94 → 133

Calls

Call 1

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

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta)))
(fma.f64 -1/4 (.f64 beta beta) (.f64 1/2 beta))
(.f64 beta (+.f64 1/2 (.f64 beta -1/4)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (.f64 (.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (.f64 (.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (fma.f64 1/2 beta (.f64 -1/4 (.f64 beta beta))) 1)
(+.f64 (.f64 beta (.f64 beta -1/4)) (fma.f64 1/2 beta 1))
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1))
(+.f64 1 (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 -1/4 (.f64 beta beta) (.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1))
(+.f64 (.f64 beta (+.f64 1/2 (.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta)))
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta)))
(-.f64 (+.f64 2 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 beta (/.f64 1 (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 beta (.f64 (/.f64 1 (+.f64 beta 2)) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (sqrt.f64 beta) (.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(.f64 (pow.f64 (cbrt.f64 beta) 2) (.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (.f64 beta 2))))
(.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (.f64 beta -2))))
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4))))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(/.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(/.f64 beta (+.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
✓	0.7b	(-.f64 (.f64 beta beta) (.f64 (+.f64 alpha 2) (+.f64 alpha 2)))
✓	3.5b	(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)
✓	17.1b	(/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha 2) (+.f64 alpha 2))))

Compiler

Compiled 122 to 68 computations (44.3% saved)

series49.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
38.0ms	beta	@	inf	(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)
1.0ms	alpha	@	0	(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)
1.0ms	alpha	@	inf	(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)
1.0ms	alpha	@	-inf	(+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1)
1.0ms	alpha	@	0	(/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha 2) (+.f64 alpha 2))))

rewrite228.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`associate-/l/`
556×	`associate-+l+`
464×	`+-commutative`
412×	`associate-+r+`
390×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	174
1	367	118
2	5830	118

Stop Event

1×	node limit

Counts

4 → 328

Calls

Call 1

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

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

simplify299.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1422×	`+-commutative`
1364×	`associate-/l*`
948×	`associate-+r+`
920×	`associate-+l+`
502×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1140	33858
1	3923	33648

Stop Event

1×	node limit

Counts

424 → 707

Calls

Call 1

Inputs
(/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 4))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 beta (-.f64 (pow.f64 beta 2) 4))
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (.f64 -1 (.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha)))
(+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 4 (/.f64 (+.f64 (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))) (.f64 -1 (.f64 (+.f64 (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)) (.f64 4 (/.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 4 (/.f64 (+.f64 (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (-.f64 (pow.f64 beta 2) 4))))))) (+.f64 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 4 (/.f64 (+.f64 (.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 2))) (.f64 -1 (.f64 (+.f64 (*.f64 -4 (/.f64 beta (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (/.f64 1 (-.f64 (pow.f64 beta 2) 4))) alpha)))))
(/.f64 1 alpha)
(-.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (-.f64 (.f64 -1 beta) 4)) (.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (-.f64 (.f64 -1 beta) 4)) (.f64 -1 (-.f64 (pow.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (.f64 -1 beta) 4))) (.f64 -4 (+.f64 (.f64 4 (-.f64 (.f64 -1 beta) 4)) (.f64 -1 (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 1 alpha)
(-.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (.f64 -4 (-.f64 (.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (pow.f64 beta 2) 4) (-.f64 (.f64 -1 beta) 4))) (.f64 -4 (-.f64 4 (+.f64 (pow.f64 beta 2) (.f64 -4 (-.f64 (.f64 -1 beta) 4)))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 4 (+.f64 (pow.f64 beta 2) (.f64 -4 (-.f64 (.f64 -1 beta) 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 beta (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))
2
(+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (.f64 -1 alpha) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 2 (.f64 2 alpha))) (pow.f64 beta 3)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (/.f64 (*.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)))
(+.f64 1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (/.f64 (.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4))))
(+.f64 1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (/.f64 (.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 -4 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) alpha) (+.f64 (/.f64 (.f64 beta (-.f64 beta 2)) (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 -4 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (pow.f64 alpha 2)) (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))) (.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 (pow.f64 beta 2) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2))) (.f64 -4 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 beta 2) (-.f64 (pow.f64 beta 2) 4))) (.f64 -1 (/.f64 beta (-.f64 (pow.f64 beta 2) 4)))) (.f64 -4 (/.f64 (*.f64 beta (-.f64 beta 2)) (pow.f64 (-.f64 (pow.f64 beta 2) 4) 2)))) (-.f64 (pow.f64 beta 2) 4))))) (-.f64 (pow.f64 beta 2) 4))))))))))
(/.f64 (+.f64 4 (.f64 -1 (+.f64 (.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) alpha)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 alpha))))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 -1 (+.f64 (.f64 -1 beta) (*.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 beta) (.f64 -1 (-.f64 beta 2))) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (-.f64 (+.f64 4 (.f64 -1 (.f64 beta (-.f64 beta 2)))) (+.f64 (.f64 4 (+.f64 4 (.f64 -1 (+.f64 (.f64 -1 beta) (.f64 -1 (-.f64 beta 2)))))) (pow.f64 beta 2)))) (.f64 -1 (.f64 (+.f64 4 (.f64 -1 (+.f64 (.f64 -1 beta) (.f64 -1 (-.f64 beta 2))))) (-.f64 (pow.f64 beta 2) 4)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 beta (-.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 alpha)))))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 -1 (+.f64 (.f64 -1 beta) (.f64 -1 (-.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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1
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1
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-1
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(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) 3)) (.f64 (.f64 (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 beta 4) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (.f64 beta beta) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))))))
(/.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) 3)) (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha))) (+.f64 (pow.f64 beta 4) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (.f64 (.f64 beta beta) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 3) (pow.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) 3)) (.f64 (.f64 (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 2) (-.f64 (.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 3) (pow.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) 3)) (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha))) (+.f64 (pow.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) 2) (-.f64 (.f64 (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 (-.f64 -2 alpha) (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 beta alpha) 3) 8) (.f64 (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (+.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 4 (*.f64 (-.f64 beta alpha) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (.f64 (.f64 (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (pow.f64 beta 6) (+.f64 (pow.f64 (+.f64 alpha 2) 6) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (+.f64 beta alpha) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (.f64 (fma.f64 beta beta (.f64 alpha (+.f64 beta alpha))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (.f64 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 beta alpha)) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) 1) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha))))
(/.f64 (.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (neg.f64 (-.f64 beta alpha))) (.f64 (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (.f64 (/.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 beta alpha)) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (.f64 (-.f64 beta alpha) (+.f64 (-.f64 beta alpha) -2))) (neg.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 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)))))

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
✓	0.3b	(/.f64 4 (*.f64 alpha alpha))
✓	0.5b	(/.f64 8 (pow.f64 alpha 3))
✓	10.0b	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))

Compiler

Compiled 67 to 44 computations (34.3% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 8 (pow.f64 alpha 3))
0.0ms	alpha	@	0	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
0.0ms	alpha	@	0	(/.f64 4 (*.f64 alpha alpha))
0.0ms	alpha	@	-inf	(/.f64 8 (pow.f64 alpha 3))
0.0ms	alpha	@	inf	(/.f64 8 (pow.f64 alpha 3))

rewrite142.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`associate-/l*`
856×	`associate-/r/`
736×	`associate-/l/`
328×	`add-sqr-sqrt`
320×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	336	78
2	4825	78

Stop Event

1×	node limit

Counts

4 → 306

Calls

Call 1

Inputs
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 8 (pow.f64 alpha 3))
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))

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

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-l`
1110×	`associate-/l*`
1044×	`*-commutative`
998×	`associate-/r*`
744×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	836	20398
1	2682	19716

Stop Event

1×	node limit

Counts

342 → 558

Calls

Call 1

Inputs
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 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 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3))))
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) (-.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (+.f64 (.f64 8 (pow.f64 alpha -3)) (.f64 (pow.f64 alpha -2) -4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (+.f64 1 (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 8 (pow.f64 alpha -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1)
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(+.f64 (.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (*.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 (pow.f64 alpha -2) -4) (+.f64 (/.f64 2 alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (.f64 4 (pow.f64 alpha -2)))))
(+.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) 1) (/.f64 2 alpha))
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (fma.f64 (.f64 (pow.f64 alpha -2) -4) 1 (.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (*.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(+.f64 (-.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2))))) 1)
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (/.f64 1 (+.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2)))))
(.f64 (pow.f64 alpha -3) (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))
(.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (/.f64 1 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)) (pow.f64 alpha -3))
(*.f64 (+.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)))
(.f64 (/.f64 1 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))
(.f64 (/.f64 1 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))) (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (+.f64 (.f64 4 (pow.f64 alpha -2)) (-.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 8 (pow.f64 alpha -3)))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4))) (pow.f64 alpha 3))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 alpha (.f64 2 (.f64 (.f64 alpha alpha) 1/4)))) (.f64 alpha (.f64 (.f64 alpha alpha) 1/4)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 2 alpha) (.f64 alpha (/.f64 4 alpha)))) (*.f64 alpha alpha))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 2 (.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4))) (neg.f64 (pow.f64 alpha 3)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 alpha alpha) (.f64 (.f64 alpha 1/2) 4))) (.f64 (.f64 alpha 1/2) (.f64 alpha alpha)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 (.f64 alpha alpha) 1/4) (.f64 (.f64 alpha 1/2) 1))) (*.f64 (pow.f64 alpha 3) 1/8))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 alpha (.f64 (.f64 alpha 1/2) (/.f64 4 alpha)))) (.f64 (.f64 alpha 1/2) alpha))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (.f64 alpha 1/2) -4))) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 (neg.f64 alpha) 4) (.f64 -2 (*.f64 alpha alpha)))) (neg.f64 (pow.f64 alpha 3)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 -2 (.f64 (.f64 alpha alpha) 1/4)) (.f64 (neg.f64 alpha) 1))) (.f64 (neg.f64 alpha) (.f64 (*.f64 alpha alpha) 1/4)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 -2 alpha) (.f64 (neg.f64 alpha) (/.f64 4 alpha)))) (*.f64 alpha (neg.f64 alpha)))
(.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 -2 (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 alpha) -4))) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(.f64 (/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (-.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4)))))) (-.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3))) (/.f64 16 (pow.f64 alpha 4))))
(.f64 (/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))) 3))) (-.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))))) (.f64 (.f64 4 (pow.f64 alpha -2)) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))))
(/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))) (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4)) (pow.f64 alpha 3))
(/.f64 (sqrt.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (sqrt.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (sqrt.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4))) (/.f64 (pow.f64 alpha 3) (sqrt.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))) (/.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (cbrt.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (cbrt.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))) (/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (cbrt.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4))) (cbrt.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))) (/.f64 (pow.f64 alpha 3) (cbrt.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))))
(/.f64 (/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)) alpha) (.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)) (.f64 alpha alpha)) alpha)
(/.f64 (/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4)) 1) (pow.f64 alpha 3))
(/.f64 (/.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4)) (pow.f64 alpha 3/2)) (pow.f64 alpha 3/2))
(/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (.f64 (.f64 (pow.f64 alpha -2) -4) (.f64 (pow.f64 alpha -2) -4))) (-.f64 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)))
(/.f64 (-.f64 (/.f64 16 (pow.f64 alpha 4)) (.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4)))) (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha))) (.f64 (.f64 alpha 4) (.f64 alpha 4))) (.f64 (pow.f64 alpha 3) (+.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4))))
(/.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (pow.f64 (.f64 (pow.f64 alpha -2) -4) 3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (-.f64 (.f64 (.f64 (pow.f64 alpha -2) -4) (.f64 (pow.f64 alpha -2) -4)) (.f64 (/.f64 2 alpha) (.f64 (pow.f64 alpha -2) -4)))))
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2))) (+.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4)))) (/.f64 64 (pow.f64 alpha 6)))))
(/.f64 (-.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (pow.f64 (/.f64 64 (pow.f64 alpha 6)) 3)) (.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 64 (pow.f64 alpha 6)) (+.f64 (/.f64 512 (pow.f64 (pow.f64 alpha 3) 3)) (.f64 (/.f64 64 (pow.f64 alpha 6)) (/.f64 64 (pow.f64 alpha 6)))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (.f64 alpha alpha)) 3) (pow.f64 (.f64 alpha 4) 3)) (.f64 (pow.f64 alpha 3) (+.f64 (+.f64 (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 2 (.f64 alpha alpha))) (.f64 (.f64 alpha 4) (.f64 alpha 4))) (.f64 (.f64 2 (.f64 alpha alpha)) (.f64 alpha 4)))))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(/.f64 (-.f64 (.f64 2 (.f64 (.f64 alpha alpha) 1/4)) alpha) (.f64 alpha (.f64 (.f64 alpha alpha) 1/4)))
(/.f64 (-.f64 (.f64 2 alpha) (.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha))
(/.f64 (-.f64 (.f64 2 (.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 alpha alpha) (.f64 (.f64 alpha 1/2) 4)) (.f64 (.f64 alpha 1/2) (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) 1/4) (.f64 (.f64 alpha 1/2) 1)) (*.f64 (pow.f64 alpha 3) 1/8))
(/.f64 (-.f64 alpha (.f64 (.f64 alpha 1/2) (/.f64 4 alpha))) (.f64 (.f64 alpha 1/2) alpha))
(/.f64 (-.f64 (.f64 alpha (neg.f64 alpha)) (.f64 (.f64 alpha 1/2) -4)) (.f64 (.f64 alpha 1/2) (.f64 alpha (neg.f64 alpha))))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha alpha)) (*.f64 (neg.f64 alpha) 4)) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (-.f64 (.f64 -2 (.f64 (.f64 alpha alpha) 1/4)) (.f64 (neg.f64 alpha) 1)) (.f64 (neg.f64 alpha) (.f64 (*.f64 alpha alpha) 1/4)))
(/.f64 (-.f64 (.f64 -2 alpha) (.f64 (neg.f64 alpha) (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (-.f64 (.f64 -2 (.f64 alpha (neg.f64 alpha))) (.f64 (neg.f64 alpha) -4)) (.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))

Outputs
(/.f64 8 (pow.f64 alpha 3))
(-.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
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(/.f64 (+.f64 (.f64 alpha -4) (.f64 alpha (*.f64 (neg.f64 alpha) -2))) (neg.f64 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (neg.f64 (+.f64 (/.f64 2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4)))) (+.f64 (/.f64 -2 alpha) (neg.f64 (.f64 4 (pow.f64 alpha -2)))))
(neg.f64 (/.f64 (-.f64 (.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))) (-.f64 (/.f64 -2 alpha) (.f64 4 (pow.f64 alpha -2)))))
(/.f64 (neg.f64 (-.f64 (.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (+.f64 (.f64 8 (pow.f64 alpha -3)) (+.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 64 (pow.f64 alpha 6)))) (neg.f64 (fma.f64 8 (pow.f64 alpha -3) (fma.f64 4 (pow.f64 alpha -2) (/.f64 16 (pow.f64 alpha 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 2 (.f64 alpha alpha)) (*.f64 alpha 4))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (neg.f64 (fma.f64 2 (.f64 alpha alpha) (.f64 4 (neg.f64 alpha)))) (neg.f64 (pow.f64 alpha 3)))
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3)
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2)))

eval1.5s (7.5%)

Compiler: Compiled 69517 to 49164 computations (29.3% saved)

prune709.0ms (3.6%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	1923	4	1927
Fresh	4	10	14
Picked	1	0	1
Done	0	10	10
Total	1928	24	1952

Error

0.0b

Counts

1952 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	49.5b	(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
✓	44.6b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	48.5b	(/.f64 (/.f64 2 alpha) 2)
	16.9b	(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) 2)
	45.8b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) 2)
✓	16.3b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
	46.7b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
	46.0b	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
	49.6b	(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
	58.4b	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) -2) (.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)))) 2)
	58.8b	(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (/.f64 -2 alpha)))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
	45.7b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	32.2b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	33.6b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	18.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	16.9b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
	49.3b	(/.f64 (+.f64 (.f64 (/.f64 (/.f64 2 alpha) (.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
✓	23.3b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2)
	34.7b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	57.7b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	57.7b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	41.3b	(/.f64 2 2)
✓	32.5b	(/.f64 1 2)

Compiler

Compiled 421 to 320 computations (24% saved)

regimes170.0ms (0.9%)

Counts

43 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) 2)
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 2 alpha) (.f64 alpha alpha)) 4) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (.f64 alpha alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (-.f64 (.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (/.f64 -2 alpha)))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (.f64 -1 (+.f64 (/.f64 (.f64 beta beta) (.f64 alpha alpha)) (.f64 beta (-.f64 (/.f64 4 (.f64 alpha alpha)) (/.f64 2 alpha))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (/.f64 (-.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (+.f64 alpha (neg.f64 beta))) (.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 beta alpha) 2) -2) (.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 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 (*.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)) 2)
(/.f64 (-.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))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) 2)
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (.f64 alpha alpha) (+.f64 2 beta)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
(/.f64 (+.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)))))) 2)

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

Calls

5 calls:

81.0ms	beta
35.0ms	alpha
19.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.2b	2	`alpha`
13.4b	5	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 971 to 649 computations (33.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999971607	-0.9999998857811363

Compiler

Compiled 20 to 15 computations (25% saved)

regimes84.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	beta
17.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
2.2b	2	`alpha`
14.1b	5	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 220 to 162 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999971607	-0.9999998857811363

Compiler

Compiled 20 to 15 computations (25% saved)

regimes1.4s (7.3%)

Counts

16 → 2

Calls

Call 1

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

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:

731.0ms	beta
83.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
16.0ms	alpha
9.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.2b	2	`alpha`
14.1b	5	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 171 to 129 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999971607	-0.9999998857811363

Compiler

Compiled 20 to 15 computations (25% saved)

regimes52.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	beta
14.0ms	alpha

Results

Error	Segments	Branch
2.8b	2	`alpha`
14.6b	5	`beta`

Compiler

Compiled 106 to 85 computations (19.8% saved)

bsearch43.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	1.4439917794528319e+26	1.9802578155893613e+43

Results

38.0ms

160×

body

256

valid

Compiler

Compiled 260 to 215 computations (17.3% saved)

regimes49.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	beta
18.0ms	alpha

Results

Error	Segments	Branch
7.0b	2	`alpha`
14.6b	5	`beta`

Compiler

Compiled 77 to 63 computations (18.2% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.4439917794528319e+26	1.9802578155893613e+43

Results

16.0ms

160×

body

256

valid

Compiler

Compiled 220 to 185 computations (15.9% saved)

regimes43.0ms (0.2%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
19.7b	2	`alpha`
15.9b	6	`beta`

Compiler

Compiled 59 to 49 computations (16.9% saved)

bsearch141.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	0.025322317509039297	28.231091622128652
22.0ms	1.2579367236834386e-135	1.996746608349838e-131
16.0ms	6.14424024994383e-160	1.108039247378538e-158
64.0ms	-1.0056638785729422e-257	-2.5848683702829333e-260
20.0ms	-1.48325773503669e-192	-1.626569354348838e-194

Results

49.0ms	444×	body	256	valid
23.0ms	92×	body	1024	valid
9.0ms	56×	body	512	valid
5.0ms	16×	body	2048	valid

Compiler

Compiled 660 to 594 computations (10% saved)

regimes81.0ms (0.4%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
19.7b	2	`alpha`
16.3b	6	`beta`

Compiler

Compiled 52 to 43 computations (17.3% saved)

bsearch99.0ms (0.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	0.025322317509039297	28.231091622128652
22.0ms	1.2579367236834386e-135	1.996746608349838e-131
17.0ms	6.14424024994383e-160	1.108039247378538e-158
22.0ms	-1.0056638785729422e-257	-2.5848683702829333e-260
18.0ms	-1.48325773503669e-192	-1.626569354348838e-194

Results

44.0ms	422×	body	256	valid
31.0ms	115×	body	1024	valid
9.0ms	53×	body	512	valid
5.0ms	18×	body	2048	valid

Compiler

Compiled 628 to 570 computations (9.2% saved)

regimes47.0ms (0.2%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
19.8b	2	`alpha`
16.5b	6	`beta`

Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch114.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
10.0ms	28.231091622128652	46.0442619919487
20.0ms	1.2579367236834386e-135	1.996746608349838e-131
46.0ms	6.14424024994383e-160	1.108039247378538e-158
20.0ms	-1.0056638785729422e-257	-2.5848683702829333e-260
18.0ms	-1.48325773503669e-192	-1.626569354348838e-194

Results

40.0ms	394×	body	256	valid
38.0ms	47×	body	512	valid
22.0ms	87×	body	1024	valid
5.0ms	16×	body	2048	valid

Compiler

Compiled 488 to 453 computations (7.2% saved)

regimes14.0ms (0.1%)

Accuracy

Total -42.6b remaining (-220.5%)

Threshold costs -42.6b (-220.5%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
30.0b	2	`alpha`
19.3b	2	`beta`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	28.231091622128652	46.0442619919487

Results

5.0ms	46×	body	256	valid
3.0ms	12×	body	1024	valid
1.0ms	4×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 68 to 63 computations (7.4% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
12×	`sub-neg`
10×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	742
1	108	742
2	122	742
3	128	742
4	131	742

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.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 144999999999999999177916416) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 144999999999999999177916416) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 1 2) (if (<=.f64 beta -8655577598126739/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 3068803694902633/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 57/2) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 beta 57/2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007198354021067/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007198354021067/9007199254740992) (/.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)) -9007198354021067/9007199254740992) (/.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 144999999999999999177916416) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 144999999999999999177916416) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 144999999999999999177916416) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 144999999999999999177916416) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1/2 (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))))
(if (<=.f64 beta -4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1/2 (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (.f64 1/2 beta) 1) 2) (/.f64 2 2))))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) (if (<=.f64 beta -1352433999707303/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1/2 (if (<=.f64 beta 4124472165949139/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (.f64 beta 1/2)) 2) 1)))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (/.f64 1 2) (if (<=.f64 beta -8655577598126739/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 1 2) (if (<=.f64 beta 3068803694902633/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 57/2) (/.f64 1 2) (/.f64 2 2))))))
(if (<=.f64 beta -339032196779485/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) 1/2 (if (<=.f64 beta -8655577598126739/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) 1/2 (if (<=.f64 beta 3068803694902633/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 57/2) 1/2 1)))))
(if (<=.f64 beta 57/2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 57/2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 309 to 238 computations (23% saved)

soundness383.0ms (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)

end158.0ms (0.8%)

Compiler: Compiled 291 to 216 computations (25.8% saved)