Details

analyze802.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	28.1%	71.9%	0%	0%	0%	0
0%	0%	28.1%	71.9%	0%	0%	0%	1
0%	0%	28.1%	71.9%	0%	0%	0%	2
0%	0%	28.1%	71.9%	0%	0%	0%	3
12.5%	3.5%	24.6%	71.9%	0%	0%	0%	4
18.8%	5.3%	22.8%	71.9%	0%	0%	0%	5
37.5%	10.5%	17.5%	71.9%	0%	0%	0%	6
39.1%	11%	17.1%	71.9%	0%	0%	0%	7
50%	14%	14%	71.9%	0%	0%	0%	8
64.1%	18%	10.1%	71.9%	0%	0%	0%	9
66%	18.5%	9.5%	71.9%	0%	0%	0%	10
73.8%	20.7%	7.3%	71.9%	0%	0%	0%	11
81.6%	22.9%	5.2%	71.9%	0%	0%	0%	12

Compiler

Compiled 43 to 28 computations (34.9% saved)

sample2.6s (12.5%)

Results

1.9s	6995×	body	256	valid
341.0ms	703×	body	1024	valid
270.0ms	510×	body	512	valid
62.0ms	48×	body	2048	valid

Bogosity

preprocess67.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1198×	`fma-def`
950×	`*-commutative`
674×	`associate-+r-`
628×	`associate-+l+`
614×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	340
1	113	308
2	375	292
3	1541	292
4	4246	292
5	5744	292
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1552×	`distribute-lft-in`
1326×	`associate-/l*`
1236×	`associate-l`
994×	`*-commutative`
692×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 166 to 90 computations (45.8% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

9.7b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1) 2)
▶	9.8b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
▶	22.4b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	22.4b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1) 2)

Compiler

Compiled 122 to 79 computations (35.2% saved)

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))
✓	1.5b	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1)
✓	23.4b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i)))))

New

Error

Program

✓

0.0b

(*.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))

✓

1.5b

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

✓

23.4b

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

Compiler

Compiled 148 to 75 computations (49.3% saved)

series36.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`+-commutative`
560×	`associate-+r+`
476×	`add-sqr-sqrt`
468×	`pow1`
468×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	189
1	442	173
2	7432	173

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Inputs

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

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

(*.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))

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

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simplify241.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1278×	`+-commutative`
1180×	`associate-r`
1088×	`*-commutative`
954×	`associate-l`
856×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	918	35840
1	3436	34904

Stop Event

1×	node limit

Counts

276 → 490

Calls

Call 1

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

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

localize56.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	1.5b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
✓	18.6b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

New

Error

Program

✓

0.1b

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

✓

1.5b

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

✓

18.6b

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

Compiler

Compiled 136 to 58 computations (57.4% saved)

series22.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`associate-+l+`
462×	`+-commutative`
406×	`add-sqr-sqrt`
402×	`associate-+r+`
398×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	195
1	380	175
2	6053	175

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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simplify217.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1350×	`+-commutative`
1314×	`associate-r`
1150×	`associate-l`
902×	`associate-+l+`
880×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	34815
1	3574	34123

Stop Event

1×	node limit

Counts

237 → 474

Calls

Call 1

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

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

localize53.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
✓	0.0b	(/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))
✓	1.8b	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)

New

Error

Program

✓

0.0b

(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))

✓

0.0b

(/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))

✓

1.8b

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

Compiler

Compiled 114 to 60 computations (47.4% saved)

series37.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	i	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
6.0ms	alpha	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
5.0ms	beta	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
3.0ms	alpha	@	-inf	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
3.0ms	alpha	@	inf	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`associate-+l+`
526×	`+-commutative`
444×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	127
1	414	127
2	6301	127

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

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

(/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))

(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))

Outputs

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

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

simplify267.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`+-commutative`
1146×	`associate-+r+`
1086×	`associate-r`
904×	`*-commutative`
840×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	21329
1	2866	21205

Stop Event

1×	node limit

Counts

205 → 366

Calls

Call 1

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

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

localize81.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))

✓

10.0b

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

✓

17.8b

(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))

Compiler

Compiled 126 to 69 computations (45.2% saved)

series37.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite133.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`associate-+l+`
548×	`+-commutative`
472×	`associate-+r+`
446×	`add-sqr-sqrt`
438×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	416	161
2	6512	161

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))

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

(*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))

Outputs

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simplify211.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-r`
1346×	`+-commutative`
1320×	`associate-l`
1054×	`associate-+r+`
812×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	940	33808
1	3440	33184

Stop Event

1×	node limit

Counts

252 → 445

Calls

Call 1

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

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

eval2.6s (12.3%)

Compiler: Compiled 127565 to 80662 computations (36.8% saved)

prune761.0ms (3.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1759	16	1775
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1763	16	1779

Error

0.1b

Counts

1779 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
	53.7b	(/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))) alpha))) 2)
	53.7b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 i alpha)) (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 2))))))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) alpha))) 2)
	32.1b	(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 0 beta) alpha) (+.f64 (neg.f64 beta) (.f64 -2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	20.8b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	36.3b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	9.8b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.4b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta alpha)) (+.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta alpha)) (.f64 2 (+.f64 beta (+.f64 2 alpha)))) i) (.f64 4 (pow.f64 i 2))))) 1) 2)
▶	23.4b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	21.2b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	10.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	44.8b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
	49.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 (.f64 0 alpha) (.f64 -1 (+.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) beta))) 2)
	61.8b	(/.f64 (+.f64 -1 1) 2)
	42.5b	(/.f64 2 2)
▶	21.5b	(/.f64 1 2)

Compiler

Compiled 1012 to 750 computations (25.9% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta)))
✓	0.1b	(/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha))
✓	1.5b	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

Compiler

Compiled 141 to 62 computations (56% saved)

series22.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`associate-+l+`
470×	`+-commutative`
428×	`add-sqr-sqrt`
420×	`pow1`
420×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	202
1	425	202
2	6253	202

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify230.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-r`
1246×	`associate-+l+`
1046×	`associate-+r+`
630×	`*-commutative`
602×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1146	38619
1	4101	37855

Stop Event

1×	node limit

Counts

307 → 557

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize47.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 69 to 40 computations (42% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`distribute-lft-in`
1134×	`associate-/r*`
828×	`associate-/l*`
568×	`associate-/r/`
474×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	259	27
2	3859	27

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

858×	`unswap-sqr`
638×	`associate-/l/`
616×	`+-commutative`
582×	`associate-/r/`
560×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	6035
1	976	5847
2	3782	5685

Stop Event

1×	node limit

Counts

101 → 181

Calls

Call 1

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

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

localize69.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha)))

✓

1.5b

(+.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha)))) 1)

✓

14.7b

(/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha))))

Compiler

Compiled 102 to 62 computations (39.2% saved)

series26.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	0	(/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha))))
7.0ms	alpha	@	-inf	(+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1)
3.0ms	i	@	0	(/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha))))
1.0ms	alpha	@	inf	(+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1)
1.0ms	i	@	-inf	(/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha))))

rewrite157.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`associate-/r/`
920×	`associate-/l/`
352×	`add-sqr-sqrt`
342×	`pow1`
342×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	125
1	342	117
2	5231	117

Stop Event

1×	node limit

Counts

3 → 262

Calls

Call 1

Inputs

(/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha))))

(+.f64 (/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha)))) 1)

(*.f64 (+.f64 (*.f64 2 i) alpha) (+.f64 2 (+.f64 (*.f64 2 i) alpha)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))))) (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) 0) (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) (/.f64 0 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))))) (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 alpha 4) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) -1) (pow.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))) 2))) (+.f64 (/.f64 1 (+.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) (/.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 (neg.f64 alpha) (/.f64 (/.f64 1 (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 alpha (/.f64 (/.f64 1 (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha alpha) (/.f64 (/.f64 1 (fma.f64 2 i alpha)) (+.f64 2 (fma.f64 2 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha alpha) (/.f64 1 (*.f64 (fma.f64 2 i alpha) (neg.f64 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egg-rr> (2) ((x fma.f64 (fma.f64 2 i alpha) 2 (pow.f64 (fma.f64 2 i alpha) 2))))))

simplify230.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-r`
1400×	`associate-l`
1116×	`associate-*l/`
1060×	`associate-*r/`
950×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	955	27216
1	3519	26862

Stop Event

1×	node limit

Counts

334 → 555

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (*.f64 2 i)) i)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 4 i) 2) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 3) (pow.f64 i 3)))))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 4 i) 2) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3))))) (+.f64 (.f64 4 i) 2)) (.f64 (+.f64 2 (.f64 2 i)) i))) (.f64 -1/8 (/.f64 (+.f64 (.f64 4 i) 2) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 3) (pow.f64 i 3))))) (pow.f64 alpha 5)) (+.f64 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 3) (pow.f64 i 3)))))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 4 i) 2) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (*.f64 2 i)) 2) (pow.f64 i 2)))))))
-1
(-.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 -2 (.f64 (+.f64 2 (.f64 2 i)) i))) (pow.f64 alpha 2))) (*.f64 4 (/.f64 i alpha)))) 1)
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 (.f64 2 i)) (.f64 i (+.f64 (.f64 4 i) 2)))) (.f64 -1 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 -2 (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 4 i) 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (.f64 -2 (.f64 (+.f64 2 (.f64 2 i)) i))) (pow.f64 alpha 2))) (.f64 4 (/.f64 i alpha))))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 (+.f64 2 (*.f64 2 i)) i))) (pow.f64 alpha 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) alpha)) (+.f64 (.f64 2 (/.f64 (.f64 i (.f64 (+.f64 2 (.f64 2 i)) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 (+.f64 2 (*.f64 2 i)) i))) (pow.f64 alpha 2)))))) 1)
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (.f64 2 (/.f64 1 (+.f64 2 alpha)))) i) (.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (.f64 (+.f64 2 alpha) alpha))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 i 2)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (.f64 2 (/.f64 1 (+.f64 2 alpha)))) i) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (.f64 (+.f64 2 alpha) alpha))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 i 2)) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (.f64 2 (/.f64 1 (+.f64 2 alpha)))) i) (+.f64 (.f64 (pow.f64 i 3) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (+.f64 2 alpha) alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (.f64 2 (/.f64 1 (+.f64 2 alpha)))) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha))) (.f64 (+.f64 2 alpha) alpha)))) (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha))) (.f64 (+.f64 2 alpha) alpha))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(*.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (.f64 1/16 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (*.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 3))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 i 4))) (.f64 1/16 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (*.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 3))))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 i 4))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))) (pow.f64 i 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 3))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) (+.f64 (.f64 -1/64 (.f64 (pow.f64 (+.f64 (.f64 2 (+.f64 2 alpha)) (.f64 2 alpha)) 2) (pow.f64 alpha 2))) (.f64 1/16 (.f64 (+.f64 2 alpha) (pow.f64 alpha 3))))) (pow.f64 i 5))))))))
(*.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
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(/.f64 (.f64 (fma.f64 2 i alpha) (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3))) (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))))
(/.f64 (.f64 (+.f64 2 (fma.f64 2 i alpha)) (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2))) (-.f64 (.f64 2 i) alpha))
(/.f64 (.f64 (+.f64 2 (fma.f64 2 i alpha)) (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3))) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (*.f64 2 i)))))
(/.f64 (.f64 (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2)) (+.f64 2 (fma.f64 2 i alpha))) (-.f64 (.f64 2 i) alpha))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3)) (+.f64 2 (fma.f64 2 i alpha))) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (*.f64 2 i)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2)) (fma.f64 2 i alpha)) (-.f64 2 (fma.f64 2 i alpha)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3)) (fma.f64 2 i alpha)) (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))))
(/.f64 (-.f64 (.f64 (.f64 2 (fma.f64 2 i alpha)) (.f64 2 (fma.f64 2 i alpha))) (.f64 (pow.f64 (fma.f64 2 i alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2))) (-.f64 (*.f64 2 (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
(/.f64 (-.f64 (.f64 (.f64 2 (fma.f64 2 i alpha)) (.f64 2 (fma.f64 2 i alpha))) (.f64 (pow.f64 (fma.f64 2 i alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2))) (.f64 1 (-.f64 (.f64 2 (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (fma.f64 2 i alpha)) 3) (pow.f64 (pow.f64 (fma.f64 2 i alpha) 2) 3)) (+.f64 (.f64 (.f64 2 (fma.f64 2 i alpha)) (.f64 2 (fma.f64 2 i alpha))) (-.f64 (.f64 (pow.f64 (fma.f64 2 i alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2)) (.f64 (*.f64 2 (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (fma.f64 2 i alpha)) 3) (pow.f64 (pow.f64 (fma.f64 2 i alpha) 2) 3)) (.f64 1 (+.f64 (.f64 (.f64 2 (fma.f64 2 i alpha)) (.f64 2 (fma.f64 2 i alpha))) (-.f64 (.f64 (pow.f64 (fma.f64 2 i alpha) 2) (pow.f64 (fma.f64 2 i alpha) 2)) (.f64 (.f64 2 (fma.f64 2 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2))))))
(/.f64 (.f64 (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2)) (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2))) (.f64 (-.f64 (*.f64 2 i) alpha) (-.f64 2 (fma.f64 2 i alpha))))
(/.f64 (.f64 (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2)) (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2))) (.f64 1 (.f64 (-.f64 (.f64 2 i) alpha) (-.f64 2 (fma.f64 2 i alpha)))))
(/.f64 (.f64 (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2)) (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3))) (.f64 (-.f64 (.f64 2 i) alpha) (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2)))))
(/.f64 (.f64 (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2)) (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3))) (.f64 1 (.f64 (-.f64 (.f64 2 i) alpha) (+.f64 4 (*.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3)) (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2))) (.f64 (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (.f64 2 i)))) (-.f64 2 (fma.f64 2 i alpha))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3)) (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2))) (.f64 1 (.f64 (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (*.f64 2 i)))) (-.f64 2 (fma.f64 2 i alpha)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3)) (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3))) (.f64 (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (.f64 2 i)))) (+.f64 4 (*.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3)) (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3))) (.f64 1 (.f64 (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (.f64 2 i)))) (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))))))
(/.f64 (.f64 (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2)) (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2))) (.f64 (-.f64 2 (fma.f64 2 i alpha)) (-.f64 (*.f64 2 i) alpha)))
(/.f64 (.f64 (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2)) (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2))) (.f64 1 (.f64 (-.f64 2 (fma.f64 2 i alpha)) (-.f64 (.f64 2 i) alpha))))
(/.f64 (.f64 (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2)) (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3))) (.f64 (-.f64 2 (fma.f64 2 i alpha)) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (.f64 2 i))))))
(/.f64 (.f64 (-.f64 4 (pow.f64 (fma.f64 2 i alpha) 2)) (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3))) (.f64 1 (.f64 (-.f64 2 (fma.f64 2 i alpha)) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (*.f64 2 i)))))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2))) (.f64 (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))) (-.f64 (.f64 2 i) alpha)))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (.f64 alpha alpha) (pow.f64 (.f64 2 i) 2))) (.f64 1 (.f64 (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))) (-.f64 (*.f64 2 i) alpha))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3))) (.f64 (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (*.f64 2 i))))))
(/.f64 (.f64 (+.f64 8 (pow.f64 (fma.f64 2 i alpha) 3)) (+.f64 (.f64 (pow.f64 i 3) 8) (pow.f64 alpha 3))) (.f64 1 (.f64 (+.f64 4 (.f64 (fma.f64 2 i alpha) (-.f64 (fma.f64 2 i alpha) 2))) (+.f64 (pow.f64 (.f64 2 i) 2) (.f64 alpha (-.f64 alpha (.f64 2 i)))))))
(pow.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 (fma.f64 2 i alpha))) (fma.f64 2 i alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 i alpha) 3) (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (fma.f64 2 i alpha)) 3) (pow.f64 (fma.f64 2 i alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 i alpha) (+.f64 2 (fma.f64 2 i alpha)))))
(fma.f64 2 (fma.f64 2 i alpha) (pow.f64 (fma.f64 2 i alpha) 2))
(fma.f64 (fma.f64 2 i alpha) 2 (pow.f64 (fma.f64 2 i alpha) 2))

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

localize107.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (.f64 i (-.f64 beta alpha)))
✓	2.3b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
✓	14.4b	(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
✓	16.0b	(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha))

Compiler

Compiled 266 to 120 computations (54.9% saved)

series36.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

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

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`add-sqr-sqrt`
532×	`*-un-lft-identity`
530×	`pow1`
502×	`add-exp-log`
502×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	220
1	511	220

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))) (/.f64 1 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))) (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (/.f64 (+.f64 alpha beta) (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))) (.f64 2 (/.f64 1 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha)))) (/.f64 1 (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))))) (sqrt.f64 (.f64 (/.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))))) (.f64 (sqrt.f64 (.f64 2 (.f64 (+.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 alpha))) (.f64 i (-.f64 beta alpha))))) (/.f64 1 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 2 (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 beta beta) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))) 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simplify201.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1722×	`associate-r`
1496×	`associate-l`
1062×	`associate-/r*`
1012×	`+-commutative`
648×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	925	28064
1	3218	27468

Stop Event

1×	node limit

Counts

280 → 466

Calls

Call 1

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

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

eval2.1s (10.3%)

Compiler: Compiled 102212 to 66178 computations (35.3% saved)

prune1.0s (5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1748	11	1759
Fresh	7	4	11
Picked	1	0	1
Done	2	2	4
Total	1758	17	1775

Error

0.1b

Counts

1775 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
	53.1b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
	53.7b	(/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))) alpha))) 2)
	56.6b	(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
	17.8b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	23.4b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
✓	23.4b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
▶	28.0b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) 2)
▶	10.7b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2)
	15.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
	28.8b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
▶	43.7b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
	54.5b	(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 2 (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 i alpha)) (*.f64 2 (/.f64 1 alpha))))) 2)
	57.2b	(/.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
	61.8b	(/.f64 (+.f64 -1 1) 2)
▶	42.5b	(/.f64 2 2)
✓	21.5b	(/.f64 1 2)

Compiler

Compiled 945 to 717 computations (24.1% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	i	@	-inf	(/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))
1.0ms	beta	@	0	(/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))
1.0ms	i	@	inf	(/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))
1.0ms	i	@	0	(/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))
0.0ms	beta	@	inf	(/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`distribute-lft-in`
1158×	`associate-/r*`
812×	`associate-/l*`
574×	`associate-/r/`
284×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	251	48
2	3565	48

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 i 2) 2))) (-.f64 beta (fma.f64 2 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i 2) 3))) (fma.f64 beta beta (*.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 i 2) 2))) (*.f64 beta (-.f64 beta (fma.f64 2 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 i 2) 3))) (*.f64 beta (fma.f64 beta beta (*.f64 (fma.f64 2 i 2) (-.f64 (fma.f64 2 i 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta (fma.f64 2 i 2))) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (fma.f64 2 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (+.f64 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simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`+-commutative`
732×	`associate-+l-`
696×	`associate-+r-`
680×	`associate--r+`
556×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	9667
1	1402	9365
2	5723	9365

Stop Event

1×	node limit

Counts

183 → 271

Calls

Call 1

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

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

localize11.0ms (0.1%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
✓	2.6b	(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)

Compiler

Compiled 35 to 23 computations (34.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-*r/`
1154×	`associate-/r*`
986×	`associate-*l/`
908×	`associate-/l*`
864×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	222	32
2	3137	32

Stop Event

1×	node limit

Counts

2 → 173

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

666×	`distribute-lft-neg-in`
662×	`+-commutative`
642×	`distribute-rgt-neg-in`
530×	`associate-+r-`
524×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	7471
1	1126	7129
2	4908	7107

Stop Event

1×	node limit

Counts

197 → 319

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

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))
	2.3b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))

Compiler

Compiled 92 to 55 computations (40.2% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`associate-/r*`
1444×	`associate-/l*`
976×	`associate-/r/`
602×	`associate-/l/`
266×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	220	25
2	3406	25

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-+l+`
1054×	`+-commutative`
948×	`associate-+r+`
510×	`associate-+l-`
458×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	5721
1	1171	5371
2	4958	5329

Stop Event

1×	node limit

Counts

91 → 182

Calls

Call 1

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

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

localize85.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 i (+.f64 2 (.f64 2 i)))
✓	0.0b	(+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (*.f64 -2 i))
✓	1.5b	(+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1)
✓	14.7b	(/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i)))))))

Compiler

Compiled 254 to 189 computations (25.6% saved)

series29.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	inf	(+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1)
2.0ms	alpha	@	0	(/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i)))))))
2.0ms	i	@	inf	(.f64 i (+.f64 2 (.f64 2 i)))
2.0ms	i	@	0	(/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i)))))))
2.0ms	alpha	@	-inf	(+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1)

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`add-sqr-sqrt`
548×	`*-un-lft-identity`
546×	`pow1`
520×	`add-cbrt-cube`
520×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	238
1	576	168

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify191.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

980×	`associate-r`
860×	`times-frac`
748×	`associate-l`
680×	`*-commutative`
638×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	659	18847
1	2185	17775

Stop Event

1×	node limit

Counts

237 → 369

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (*.f64 2 i)) i)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))) (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 3) (pow.f64 i 3))))) (pow.f64 alpha 4))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 (+.f64 2 (.f64 2 i)) i))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))) (+.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3)))))) (.f64 (+.f64 2 (.f64 2 i)) i))) (.f64 1/8 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 3) (pow.f64 i 3))))) (pow.f64 alpha 5)) (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 (+.f64 2 (*.f64 2 i)) 3) (pow.f64 i 3))))) (pow.f64 alpha 4)))))
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) 2) (.f64 -2 (.f64 i (+.f64 2 (*.f64 2 i))))) (pow.f64 alpha 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) 2) (.f64 -2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 i (+.f64 2 (.f64 2 i)))) (pow.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) 2)) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 i (.f64 (+.f64 2 (.f64 2 i)) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (*.f64 -2 i)))))) (pow.f64 alpha 3))))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 i (+.f64 2 (*.f64 2 i))))) (pow.f64 alpha 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 2 (.f64 2 i)) (.f64 i (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 -2 (.f64 i (+.f64 2 (.f64 2 i))))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (*.f64 -2 i))) (pow.f64 alpha 3)))))) 1)
(.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 alpha 2) (.f64 2 alpha))))
(+.f64 (/.f64 (.f64 i (.f64 (+.f64 4 (.f64 4 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2)) (.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)))))
(+.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 4 alpha)))) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2)) (+.f64 (.f64 (pow.f64 i 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 4 (.f64 4 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 3))) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2))))) (.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 alpha 2) (*.f64 2 alpha))))))
(+.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 4 alpha)))) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (.f64 4 alpha)) 2)) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 3))) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2)))) (+.f64 4 (.f64 4 alpha))) (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)))) (.f64 -4 (/.f64 (.f64 (+.f64 4 (.f64 4 alpha)) (pow.f64 alpha 2)) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 3)))) (pow.f64 i 3)) (+.f64 (.f64 (pow.f64 i 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 4 (.f64 4 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 3))) (.f64 4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) 2))))) (.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)))))))
(*.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (.f64 1/16 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 4 alpha))) (pow.f64 i 3))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 4 alpha))) (pow.f64 i 3))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (+.f64 4 (.f64 4 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 i 4))) (.f64 1/16 (/.f64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 4))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 4 alpha))) (pow.f64 i 3))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (.f64 (+.f64 4 (.f64 4 alpha)) (pow.f64 alpha 2))) (pow.f64 i 5))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 (+.f64 4 (.f64 4 alpha)) 2) (pow.f64 alpha 2)) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2))) (.f64 -1/64 (.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 4 (.f64 4 alpha)) 2)))) (+.f64 4 (.f64 4 alpha))) (pow.f64 i 5))) (.f64 1/16 (/.f64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 4))))))))
(*.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (-.f64 (.f64 -4 alpha) 4) (pow.f64 alpha 2)) (pow.f64 i 3))) (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (-.f64 (.f64 -4 alpha) 4) (pow.f64 alpha 2)) (pow.f64 i 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 4))) (.f64 -1/64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -4 alpha) 4) 2) (pow.f64 alpha 2)) (pow.f64 i 4))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (-.f64 (.f64 -4 alpha) 4) (pow.f64 alpha 2)) (pow.f64 i 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (.f64 (-.f64 (.f64 -4 alpha) 4) (pow.f64 alpha 2)))) (.f64 -1/4 (.f64 (-.f64 (.f64 -4 alpha) 4) (+.f64 (.f64 1/16 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2))) (.f64 -1/64 (.f64 (pow.f64 (-.f64 (.f64 -4 alpha) 4) 2) (pow.f64 alpha 2))))))) (pow.f64 i 5))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (+.f64 (pow.f64 alpha 2) (.f64 2 alpha)) (pow.f64 alpha 2)) (pow.f64 i 4))) (.f64 -1/64 (/.f64 (.f64 (pow.f64 (-.f64 (*.f64 -4 alpha) 4) 2) (pow.f64 alpha 2)) (pow.f64 i 4)))))))
1
(+.f64 1 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 i (+.f64 2 (*.f64 2 i))))))
(+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 i (+.f64 2 (.f64 2 i)))))))
(+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 2) (.f64 i (+.f64 2 (.f64 2 i))))) (.f64 (pow.f64 alpha 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (.f64 2 i)) 2)))) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3)))))))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (/.f64 (.f64 (+.f64 2 (*.f64 2 i)) i) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)))) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 2 (.f64 2 i)) i) (pow.f64 alpha 2))) (.f64 2 (/.f64 (.f64 (+.f64 2 (.f64 2 i)) (.f64 i (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (*.f64 2 i)))))) (pow.f64 alpha 3)))))))
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(/.f64 (.f64 (+.f64 (.f64 -8 (pow.f64 i 3)) 8) i) (-.f64 (+.f64 4 (.f64 i (.f64 4 i))) (*.f64 4 i)))
(/.f64 (-.f64 (.f64 i (.f64 4 i)) (.f64 (.f64 i (.f64 2 i)) (.f64 i (.f64 2 i)))) (-.f64 (.f64 2 i) (.f64 i (.f64 2 i))))
(/.f64 (+.f64 (.f64 -8 (pow.f64 i 3)) (pow.f64 (.f64 i (.f64 2 i)) 3)) (+.f64 (.f64 i (.f64 4 i)) (-.f64 (.f64 (.f64 i (.f64 2 i)) (.f64 i (.f64 2 i))) (.f64 (.f64 2 i) (.f64 i (.f64 2 i))))))
(pow.f64 (*.f64 i (fma.f64 2 i 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 i (fma.f64 2 i 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 i (fma.f64 2 i 2))) 3)
(pow.f64 (pow.f64 (*.f64 i (fma.f64 2 i 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 i (fma.f64 2 i 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 i 2)) i))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (fma.f64 2 i 2)))))
(cbrt.f64 (pow.f64 (*.f64 i (fma.f64 2 i 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (fma.f64 2 i 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 i 2) 3) (pow.f64 i 3)))
(expm1.f64 (log1p.f64 (*.f64 i (fma.f64 2 i 2))))
(exp.f64 (log.f64 (*.f64 i (fma.f64 2 i 2))))
(exp.f64 (.f64 (log.f64 (.f64 i (fma.f64 2 i 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 i (fma.f64 2 i 2))))
(fma.f64 2 i (.f64 i (.f64 2 i)))
(fma.f64 i 2 (.f64 i (.f64 2 i)))
(fma.f64 1 (.f64 2 i) (.f64 i (*.f64 2 i)))
(fma.f64 (sqrt.f64 (.f64 2 i)) (sqrt.f64 (.f64 2 i)) (.f64 i (.f64 2 i)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 i)) 2) (cbrt.f64 (.f64 2 i)) (.f64 i (.f64 2 i)))

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

eval1.3s (6.4%)

Compiler: Compiled 45917 to 33496 computations (27.1% saved)

prune582.0ms (2.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1226	9	1235
Fresh	5	5	10
Picked	1	0	1
Done	3	3	6
Total	1235	17	1252

Error

0.1b

Counts

1252 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	52.2b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
▶	53.1b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
▶	55.0b	(/.f64 (/.f64 2 alpha) 2)
	55.9b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	28.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	56.6b	(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
▶	61.8b	(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
	17.8b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.2b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (.f64 i -4) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
✓	23.4b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
▶	15.6b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	28.8b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
	28.9b	(/.f64 (+.f64 (*.f64 -1/2 alpha) 1) 2)
	54.5b	(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (/.f64 (.f64 (+.f64 2 (*.f64 2 i)) i) (pow.f64 alpha 2))))) 2)
	48.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
✓	42.5b	(/.f64 2 2)
✓	21.5b	(/.f64 1 2)

Compiler

Compiled 679 to 529 computations (22.1% saved)

localize13.0ms (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 30 to 22 computations (26.7% saved)

series2.0ms (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)

rewrite67.0ms (0.3%)

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)))))

simplify58.0ms (0.3%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (*.f64 4 i) 2) alpha)

Compiler

Compiled 31 to 23 computations (25.8% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`associate-*r/`
852×	`*-commutative`
762×	`associate-/r*`
740×	`associate-*l/`
598×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	197	15
2	2499	15

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(/.f64 (+.f64 (*.f64 4 i) 2) alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) (*.f64 4 i)) (*.f64 (/.f64 1 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) 2) (*.f64 (/.f64 1 alpha) (*.f64 4 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 i) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (*.f64 4 i) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 i 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 i 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 i 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 4 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 i -4) -2) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (sqrt.f64 (fma.f64 4 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (+.f64 (*.f64 i -4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) alpha) (cbrt.f64 (fma.f64 4 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))) (cbrt.f64 (fma.f64 4 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 16 (*.f64 i i)) -4) alpha) (+.f64 (*.f64 16 (*.f64 i i)) -4)) (fma.f64 4 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 16 (*.f64 i i)) -4) alpha) (-.f64 (*.f64 64 (pow.f64 i 3)) 8)) (+.f64 (*.f64 16 (*.f64 i i)) (+.f64 4 (*.f64 i 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 64 (pow.f64 i 3))) alpha) (-.f64 (*.f64 (*.f64 i (pow.f64 i 3)) 256) (*.f64 (+.f64 4 (*.f64 i -8)) (+.f64 4 (*.f64 i -8))))) (-.f64 (*.f64 16 (*.f64 i i)) (+.f64 4 (*.f64 i -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 64 (pow.f64 i 3))) alpha) (+.f64 (pow.f64 (*.f64 16 (*.f64 i i)) 3) (pow.f64 (+.f64 4 (*.f64 i -8)) 3))) (+.f64 (*.f64 (*.f64 i (pow.f64 i 3)) 256) (*.f64 (+.f64 4 (*.f64 i -8)) (-.f64 (+.f64 4 (*.f64 i -8)) (*.f64 16 (*.f64 i i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 4 i 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 i -4) -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 4 i 2) (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 i 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha)))))))

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1732×	`associate-+l+`
742×	`associate-*r/`
686×	`distribute-lft-in`
634×	`distribute-rgt-in`
578×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2323
1	465	1875
2	1567	1863
3	6109	1863

Stop Event

1×	node limit

Counts

71 → 82

Calls

Call 1

Inputs
(/.f64 2 alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 4 (/.f64 i alpha))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 4 (/.f64 i alpha))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 1 alpha) (.f64 4 i)) (*.f64 (/.f64 1 alpha) 2))
(+.f64 (.f64 (/.f64 1 alpha) 2) (.f64 (/.f64 1 alpha) (*.f64 4 i)))
(+.f64 (.f64 (.f64 4 i) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (*.f64 4 i) (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha))) 1)
(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)
(*.f64 1 (/.f64 (fma.f64 4 i 2) alpha))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 4 i 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 4 i 2))
(.f64 (+.f64 (.f64 i -4) -2) (/.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (sqrt.f64 (fma.f64 4 i 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1))
(*.f64 (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) alpha) (cbrt.f64 (fma.f64 4 i 2)))
(*.f64 (/.f64 1 (/.f64 alpha (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))) (cbrt.f64 (fma.f64 4 i 2)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 16 (.f64 i i)) -4) alpha) (+.f64 (.f64 16 (*.f64 i i)) -4)) (fma.f64 4 i 2))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 16 (.f64 i i)) -4) alpha) (-.f64 (.f64 64 (pow.f64 i 3)) 8)) (+.f64 (.f64 16 (.f64 i i)) (+.f64 4 (*.f64 i 8))))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 64 (pow.f64 i 3))) alpha) (-.f64 (.f64 (.f64 i (pow.f64 i 3)) 256) (.f64 (+.f64 4 (.f64 i -8)) (+.f64 4 (.f64 i -8))))) (-.f64 (.f64 16 (.f64 i i)) (+.f64 4 (.f64 i -8))))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 64 (pow.f64 i 3))) alpha) (+.f64 (pow.f64 (.f64 16 (.f64 i i)) 3) (pow.f64 (+.f64 4 (.f64 i -8)) 3))) (+.f64 (.f64 (.f64 i (pow.f64 i 3)) 256) (.f64 (+.f64 4 (.f64 i -8)) (-.f64 (+.f64 4 (.f64 i -8)) (.f64 16 (.f64 i i))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (fma.f64 4 i 2)) -1)
(neg.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 (*.f64 i -4) -2) alpha))
(neg.f64 (*.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)) 1))
(neg.f64 (*.f64 (fma.f64 4 i 2) (/.f64 -1 alpha)))
(neg.f64 (*.f64 1 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha)))

Outputs
(/.f64 2 alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 4 (/.f64 i alpha))
(/.f64 i (/.f64 alpha 4))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 4 (/.f64 i alpha))
(/.f64 i (/.f64 alpha 4))
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 (/.f64 1 alpha) (.f64 4 i)) (*.f64 (/.f64 1 alpha) 2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 (/.f64 1 alpha) 2) (.f64 (/.f64 1 alpha) (*.f64 4 i)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 (.f64 4 i) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (*.f64 4 i) (/.f64 1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha))) 1)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 1 (/.f64 (fma.f64 4 i 2) alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 4 i 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 1 alpha) (fma.f64 4 i 2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(.f64 (+.f64 (.f64 i -4) -2) (/.f64 -1 alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (sqrt.f64 (fma.f64 4 i 2)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (*.f64 (fma.f64 4 i 2) (/.f64 1 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 4 i 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)))
(/.f64 (*.f64 (fma.f64 4 i 2) (/.f64 1 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (fma.f64 4 i 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 4 i 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 4 i 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 4 i 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) 1) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 4 i 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 4 i 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 4 i 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 4 i 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (fma.f64 4 i 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) alpha) (cbrt.f64 (fma.f64 4 i 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(*.f64 (/.f64 1 (/.f64 alpha (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)))) (cbrt.f64 (fma.f64 4 i 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4 i 2) 2)) (/.f64 (cbrt.f64 (fma.f64 4 i 2)) alpha))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 16 (.f64 i i)) -4) alpha) (+.f64 (.f64 16 (*.f64 i i)) -4)) (fma.f64 4 i 2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 16 (.f64 i i)) -4) alpha) (-.f64 (.f64 64 (pow.f64 i 3)) 8)) (+.f64 (.f64 16 (.f64 i i)) (+.f64 4 (*.f64 i 8))))
(.f64 (/.f64 (fma.f64 16 (.f64 i i) -4) (.f64 (fma.f64 64 (pow.f64 i 3) -8) alpha)) (fma.f64 16 (.f64 i i) (+.f64 4 (*.f64 i 8))))
(/.f64 (.f64 (/.f64 (fma.f64 16 (.f64 i i) -4) alpha) (fma.f64 16 (*.f64 i i) (fma.f64 i 8 4))) (fma.f64 64 (pow.f64 i 3) -8))
(.f64 (/.f64 (fma.f64 i (.f64 i 16) -4) alpha) (/.f64 (fma.f64 i 8 (fma.f64 i (*.f64 i 16) 4)) (fma.f64 64 (pow.f64 i 3) -8)))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 64 (pow.f64 i 3))) alpha) (-.f64 (.f64 (.f64 i (pow.f64 i 3)) 256) (.f64 (+.f64 4 (.f64 i -8)) (+.f64 4 (.f64 i -8))))) (-.f64 (.f64 16 (.f64 i i)) (+.f64 4 (.f64 i -8))))
(.f64 (/.f64 (+.f64 (.f64 64 (pow.f64 i 3)) 8) (.f64 (fma.f64 (.f64 i (pow.f64 i 3)) 256 (neg.f64 (.f64 (+.f64 4 (.f64 i -8)) (+.f64 4 (.f64 i -8))))) alpha)) (-.f64 (.f64 16 (.f64 i i)) (+.f64 4 (.f64 i -8))))
(.f64 (/.f64 (fma.f64 64 (pow.f64 i 3) 8) (.f64 alpha (-.f64 (.f64 (pow.f64 i 4) 256) (.f64 (fma.f64 i -8 4) (fma.f64 i -8 4))))) (+.f64 (fma.f64 16 (.f64 i i) -4) (.f64 i 8)))
(.f64 (/.f64 (fma.f64 64 (pow.f64 i 3) 8) alpha) (/.f64 (+.f64 -4 (.f64 i (+.f64 8 (.f64 i 16)))) (-.f64 (.f64 (pow.f64 i 4) 256) (*.f64 (fma.f64 i -8 4) (fma.f64 i -8 4)))))
(.f64 (/.f64 (/.f64 (+.f64 8 (.f64 64 (pow.f64 i 3))) alpha) (+.f64 (pow.f64 (.f64 16 (.f64 i i)) 3) (pow.f64 (+.f64 4 (.f64 i -8)) 3))) (+.f64 (.f64 (.f64 i (pow.f64 i 3)) 256) (.f64 (+.f64 4 (.f64 i -8)) (-.f64 (+.f64 4 (.f64 i -8)) (.f64 16 (.f64 i i))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 64 (pow.f64 i 3)) 8) alpha) (+.f64 (.f64 4096 (pow.f64 (.f64 i i) 3)) (pow.f64 (+.f64 4 (.f64 i -8)) 3))) (fma.f64 (.f64 i (pow.f64 i 3)) 256 (.f64 (+.f64 4 (.f64 i -8)) (+.f64 4 (-.f64 (.f64 i -8) (.f64 16 (*.f64 i i)))))))
(.f64 (/.f64 (/.f64 (fma.f64 64 (pow.f64 i 3) 8) alpha) (fma.f64 4096 (pow.f64 (.f64 i i) 3) (pow.f64 (fma.f64 i -8 4) 3))) (fma.f64 (fma.f64 i -8 4) (+.f64 4 (.f64 i (-.f64 -8 (.f64 i 16)))) (*.f64 (pow.f64 i 4) 256)))
(/.f64 (fma.f64 64 (pow.f64 i 3) 8) (.f64 (/.f64 (fma.f64 4096 (pow.f64 i 6) (pow.f64 (fma.f64 i -8 4) 3)) (fma.f64 (fma.f64 i -8 4) (fma.f64 i (+.f64 -8 (.f64 i -16)) 4) (*.f64 (pow.f64 i 4) 256))) alpha))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha))))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)))))
(pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 1)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 2)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 i 2) alpha)) 3)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3) 1/3)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 4 i 2)) -1)
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(neg.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(neg.f64 (/.f64 (+.f64 (*.f64 i -4) -2) alpha))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(neg.f64 (*.f64 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha)) 1))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(neg.f64 (*.f64 (fma.f64 4 i 2) (/.f64 -1 alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(neg.f64 (*.f64 1 (/.f64 (fma.f64 4 i 2) (neg.f64 alpha))))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 2))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(log.f64 (exp.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha))))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 i 2) alpha) 3))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 i 2) alpha)))
(fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 4 i 2) alpha)

localize25.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))
1.0ms	alpha	@	0	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))
1.0ms	beta	@	0	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))
1.0ms	i	@	inf	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))
0.0ms	beta	@	inf	(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta)))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-/r/`
704×	`associate-/l/`
356×	`add-sqr-sqrt`
346×	`pow1`
346×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	344	33
2	5256	33

Stop Event

1×	node limit

Counts

1 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (*.f64 4 (/.f64 i beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (*.f64 4 (/.f64 i beta)) (fma.f64 (*.f64 4 (/.f64 i beta)) -1 (*.f64 4 (/.f64 i beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (*.f64 4 (/.f64 i beta)) (fma.f64 (neg.f64 (/.f64 1 beta)) (*.f64 4 i) (*.f64 4 (/.f64 i beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (*.f64 4 (/.f64 i beta)) (fma.f64 (*.f64 4 (/.f64 i beta)) 1 (*.f64 4 (/.f64 i beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (*.f64 4 (/.f64 i beta)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 4 (/.f64 i beta)))) (sqrt.f64 (*.f64 4 (/.f64 i beta))) (*.f64 4 (/.f64 i beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (*.f64 4 (/.f64 i beta)) 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simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1034×	`times-frac`
986×	`associate-r`
770×	`+-commutative`
734×	`associate-l`
660×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	12135
1	1352	11269
2	7817	11237

Stop Event

1×	node limit

Counts

167 → 260

Calls

Call 1

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

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))
	2.3b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
✓	7.9b	(/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))

Compiler

Compiled 136 to 87 computations (36% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	inf	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
2.0ms	beta	@	0	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
1.0ms	beta	@	0	(/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
1.0ms	alpha	@	0	(/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`+-commutative`
516×	`add-sqr-sqrt`
498×	`*-un-lft-identity`
496×	`pow1`
480×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	497	116
2	7701	116

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (*.f64 (*.f64 alpha -4) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (*.f64 alpha -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha -4) (*.f64 i (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (*.f64 alpha -4)) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) 1) (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (sqrt.f64 (*.f64 i (*.f64 alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 alpha -4))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (*.f64 i (*.f64 alpha -4))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 alpha -4))) 2) 1) (/.f64 (cbrt.f64 (*.f64 i (*.f64 alpha -4))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 alpha -4))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (cbrt.f64 (*.f64 (*.f64 i (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (*.f64 (*.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 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simplify743.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1052×	`associate-r`
964×	`fma-def`
818×	`*-commutative`
800×	`associate-l`
730×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	13279
1	1809	12637

Stop Event

1×	node limit

Counts

159 → 261

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 4 (/.f64 (.f64 i (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (pow.f64 (+.f64 beta 2) 4))) (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 4 (/.f64 (.f64 i (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 4 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 i (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 i (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (.f64 4 (/.f64 (.f64 i (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 4 (.f64 (pow.f64 alpha 4) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 -1 (/.f64 (.f64 i (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 i (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 i (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)))))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 4 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 i (pow.f64 (+.f64 4 (.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 i (pow.f64 (+.f64 beta 2) 4))))))))
(*.f64 -4 (/.f64 i alpha))
(+.f64 (.f64 -4 (/.f64 i alpha)) (.f64 4 (/.f64 (.f64 i (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 i (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 i (pow.f64 (+.f64 4 (.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -4 (/.f64 i alpha)) (.f64 4 (/.f64 (.f64 i (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 i (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 i (pow.f64 (+.f64 4 (.f64 2 beta)) 2)))) (+.f64 4 (.f64 2 beta)))) (.f64 -1 (.f64 i (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 i (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 i (pow.f64 (+.f64 4 (.f64 2 beta)) 2)))) (pow.f64 alpha 3))) (+.f64 (.f64 -4 (/.f64 i alpha)) (.f64 4 (/.f64 (.f64 i (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))))))
(*.f64 -4 (/.f64 i alpha))
(+.f64 (.f64 8 (/.f64 (.f64 i (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 i alpha)))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -4 (.f64 i (pow.f64 (+.f64 beta 2) 2))) (.f64 i (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (.f64 i (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 i alpha))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 2 (.f64 i (pow.f64 (+.f64 beta 2) 3))) (.f64 2 (.f64 (+.f64 beta 2) (+.f64 (.f64 -4 (.f64 i (pow.f64 (+.f64 beta 2) 2))) (.f64 i (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -4 (.f64 i (pow.f64 (+.f64 beta 2) 2))) (.f64 i (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (.f64 8 (/.f64 (.f64 i (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 i alpha)))))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (.f64 4 (/.f64 (.f64 beta (.f64 i (.f64 alpha (+.f64 4 (*.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 4))))
(+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 4 (/.f64 (.f64 beta (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 4))) (.f64 4 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4)))))))
(+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 4 (/.f64 (.f64 beta (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (.f64 4 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4))))) (.f64 4 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 6)))))))))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2)))
(+.f64 (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))) (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))))
(+.f64 (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)))) (.f64 i (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 4)))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (.f64 -1 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))))) (+.f64 4 (.f64 2 alpha)))) (.f64 -1 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 alpha (+.f64 4 (.f64 2 alpha))))))) (pow.f64 beta 5))) (+.f64 (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))) (.f64 4 (/.f64 (+.f64 (.f64 -1 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)))) (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 4))))))
(.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2)))
(+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))) (.f64 8 (/.f64 (.f64 i (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 3))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -4 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 4))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))) (.f64 8 (/.f64 (.f64 i (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 3)))))
(+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -4 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 4))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 -4 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (.f64 2 (.f64 i (.f64 (pow.f64 (+.f64 2 alpha) 3) alpha)))) (pow.f64 beta 5))) (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 beta 2))) (.f64 8 (/.f64 (.f64 i (.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 3))))))
(.f64 1/2 (-.f64 1 (+.f64 (.f64 -4 (/.f64 (*.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 1/2 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)))))) (.f64 1/2 (-.f64 1 (+.f64 (.f64 -4 (/.f64 (*.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 1/2 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)))))) (.f64 1/2 (-.f64 1 (+.f64 (.f64 -4 (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (.f64 4 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 i (.f64 alpha (pow.f64 (+.f64 4 (.f64 2 alpha)) 2))) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 (.f64 i alpha) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 6)))))))) (+.f64 (.f64 1/2 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (.f64 4 (/.f64 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)))))) (.f64 1/2 (-.f64 1 (+.f64 (.f64 -4 (/.f64 (*.f64 i alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha))))))))
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 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4 (.f64 i alpha)))) (pow.f64 beta 2))) (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 3) (.f64 4 (.f64 i (.f64 alpha (+.f64 4 (.f64 2 alpha))))))) (pow.f64 beta 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (+.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -4 (.f64 i alpha)))) (pow.f64 beta 2))) (+.f64 1 (.f64 -1/2 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)))))
1
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (.f64 -4 (.f64 i alpha))) (pow.f64 beta 2)))))
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(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)) 2) (cbrt.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 2)) (.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) 1/2))
(.f64 1/2 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))
(.f64 (+.f64 (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) -1/2)
(pow.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2) 3) 1/3)
(pow.f64 (/.f64 2 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) -1)
(neg.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) -2))
(sqrt.f64 (.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)))
(exp.f64 (+.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (*.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) (log.f64 1/2)))
(exp.f64 (.f64 (+.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) (log.f64 1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1/2)))

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

eval709.0ms (3.4%)

Compiler: Compiled 38829 to 27069 computations (30.3% saved)

prune351.0ms (1.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1003	9	1012
Fresh	2	7	9
Picked	1	0	1
Done	3	4	7
Total	1009	20	1029

Error

0.1b

Counts

1029 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.1b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
	54.3b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	59.6b	(/.f64 (/.f64 i (/.f64 alpha 4)) 2)
	61.2b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
✓	55.0b	(/.f64 (/.f64 2 alpha) 2)
	55.9b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	48.2b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	28.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	17.8b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	27.2b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (.f64 i -4) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
✓	23.4b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	53.1b	(/.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	28.9b	(/.f64 (+.f64 (*.f64 -1/2 alpha) 1) 2)
	54.5b	(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (/.f64 (.f64 (+.f64 2 (*.f64 2 i)) i) (pow.f64 alpha 2))))) 2)
	48.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
	53.1b	(/.f64 (.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2)) 2)
✓	21.5b	(/.f64 1 2)
	52.2b	(/.f64 1/2 (/.f64 alpha (+.f64 (fma.f64 beta 2 2) (*.f64 i 4))))
	52.2b	(.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (*.f64 -4 i)) alpha))
	42.5b	1

Compiler

Compiled 332 to 271 computations (18.4% saved)

regimes349.0ms (1.7%)

Counts

49 → 2

Calls

Call 1

Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 -1/2 alpha) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 i (/.f64 alpha 4)) 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 (*.f64 4 i) 2) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) 2)
(/.f64 (.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (*.f64 -4 i)) alpha))
(/.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 (.f64 0 alpha) (.f64 -1 (+.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 0 beta) alpha) (+.f64 (neg.f64 beta) (.f64 -2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 1/2 (/.f64 alpha (+.f64 (fma.f64 beta 2 2) (*.f64 i 4))))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (.f64 i -4) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta alpha)) (+.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta alpha)) (.f64 2 (+.f64 beta (+.f64 2 alpha)))) i) (.f64 4 (pow.f64 i 2))))) 1) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (/.f64 (.f64 (+.f64 2 (*.f64 2 i)) i) (pow.f64 alpha 2))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))) alpha))) 2)
(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1) 2)
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 2 (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 4 i) 2) 2) (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 i alpha)) (*.f64 2 (/.f64 1 alpha))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 i alpha)) (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 2))))))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) alpha))) 2)

Outputs

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

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

Calls

7 calls:

114.0ms	beta
94.0ms	alpha
48.0ms	(*.f64 2 i)
24.0ms	i
18.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.0b	4	`alpha`
8.7b	3	`beta`
9.8b	1	`i`
2.0b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
2.0b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
2.0b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
9.8b	1	`(*.f64 2 i)`

Compiler

Compiled 1211 to 818 computations (32.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999885987	-0.9999972987689064

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes297.0ms (1.4%)

Counts

45 → 2

Calls

Call 1

Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 -1/2 alpha) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 i (/.f64 alpha 4)) 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 (*.f64 4 i) 2) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) 2)
(/.f64 (.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (*.f64 -4 i)) alpha))
(/.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 (.f64 0 alpha) (.f64 -1 (+.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 0 beta) alpha) (+.f64 (neg.f64 beta) (.f64 -2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 1/2 (/.f64 alpha (+.f64 (fma.f64 beta 2 2) (*.f64 i 4))))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (.f64 i -4) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (+.f64 (pow.f64 alpha 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (.f64 i (+.f64 2 (*.f64 2 i))))))) 1) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta alpha)) (+.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta alpha)) (.f64 2 (+.f64 beta (+.f64 2 alpha)))) i) (.f64 4 (pow.f64 i 2))))) 1) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (*.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)))) (neg.f64 (/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 beta alpha))) (.f64 i (-.f64 beta alpha)))) (+.f64 beta alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)
(/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) alpha)) (.f64 2 (/.f64 (.f64 (+.f64 2 (*.f64 2 i)) i) (pow.f64 alpha 2))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 beta (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2)))))) (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))) alpha))) 2)

Outputs

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

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

Calls

7 calls:

99.0ms	beta
76.0ms	alpha
45.0ms	i
21.0ms	(*.f64 2 i)
17.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.0b	4	`alpha`
8.7b	3	`beta`
9.8b	1	`i`
2.0b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
2.0b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
2.0b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
9.8b	1	`(*.f64 2 i)`

Compiler

Compiled 1035 to 699 computations (32.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999885987	-0.9999972987689064

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes196.0ms (0.9%)

Counts

36 → 2

Calls

Call 1

Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (+.f64 (*.f64 -1/2 alpha) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 i (/.f64 alpha 4)) 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 (*.f64 4 i) 2) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) 2)
(/.f64 (.f64 (/.f64 -1 alpha) (+.f64 (.f64 i -4) -2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (*.f64 -4 i)) alpha))
(/.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (*.f64 4 i) beta))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (/.f64 alpha (+.f64 (.f64 2 i) alpha)) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 (.f64 0 alpha) (.f64 -1 (+.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 0 beta) alpha) (+.f64 (neg.f64 beta) (.f64 -2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1) 2)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
(/.f64 1/2 (/.f64 alpha (+.f64 (fma.f64 beta 2 2) (*.f64 i 4))))
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (/.f64 (.f64 i (.f64 alpha -4)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2)

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

Calls

7 calls:

68.0ms	alpha
45.0ms	beta
18.0ms	i
17.0ms	(*.f64 2 i)
13.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.5b	4	`alpha`
8.9b	3	`beta`
10.7b	1	`i`
2.4b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
2.4b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
2.4b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
10.7b	1	`(*.f64 2 i)`

Compiler

Compiled 601 to 415 computations (30.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999972987689064	-4.364615413042797e-10

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes86.0ms (0.4%)

Counts

20 → 4

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	alpha
28.0ms	beta
19.0ms	i

Results

Error	Segments	Branch
10.2b	4	`alpha`
14.0b	3	`beta`
12.5b	2	`i`

Compiler

Compiled 175 to 139 computations (20.6% saved)

bsearch63.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
38.0ms	5.125120021282127e+188	1.1328566238276477e+196
16.0ms	1.9260836500311555e+49	2.242044290418569e+51
9.0ms	7.145943701101127e+24	8.951564636512759e+24

Results

34.0ms	228×	body	256	valid
19.0ms	52×	body	1024	valid
6.0ms	24×	body	512	valid

Compiler

Compiled 600 to 486 computations (19% saved)

regimes80.0ms (0.4%)

Counts

18 → 4

Calls

Call 1

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

Calls

3 calls:

33.0ms	alpha
26.0ms	beta
17.0ms	i

Results

Error	Segments	Branch
11.1b	4	`alpha`
14.0b	3	`beta`
12.5b	2	`i`

Compiler

Compiled 149 to 119 computations (20.1% saved)

bsearch72.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
47.0ms	5.125120021282127e+188	1.1328566238276477e+196
17.0ms	1.9260836500311555e+49	2.242044290418569e+51
7.0ms	7.145943701101127e+24	8.951564636512759e+24

Results

33.0ms	64×	body	1024	valid
31.0ms	224×	body	256	valid
4.0ms	16×	body	512	valid

Compiler

Compiled 564 to 459 computations (18.6% saved)

regimes80.0ms (0.4%)

Counts

16 → 4

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)

Calls

3 calls:

31.0ms	beta
30.0ms	alpha
15.0ms	i

Results

Error	Segments	Branch
11.2b	4	`alpha`
14.4b	3	`beta`
12.5b	2	`i`

Compiler

Compiled 127 to 103 computations (18.9% saved)

bsearch43.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
20.0ms	5.3134832013863795e+144	1.978349352533426e+145
16.0ms	1.9260836500311555e+49	2.242044290418569e+51
7.0ms	7.145943701101127e+24	8.951564636512759e+24

Results

26.0ms	196×	body	256	valid
11.0ms	34×	body	1024	valid
2.0ms	10×	body	512	valid

Compiler

Compiled 356 to 307 computations (13.8% saved)

regimes54.0ms (0.3%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	alpha
14.0ms	i
6.0ms	beta

Results

Error	Segments	Branch
12.1b	4	`alpha`
15.6b	1	`beta`
12.5b	2	`i`

Compiler

Compiled 87 to 71 computations (18.4% saved)

bsearch60.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	5.125120021282127e+188	1.1328566238276477e+196
17.0ms	1.9260836500311555e+49	2.242044290418569e+51
7.0ms	7.145943701101127e+24	8.951564636512759e+24

Results

29.0ms	221×	body	256	valid
21.0ms	59×	body	1024	valid
6.0ms	24×	body	512	valid

Compiler

Compiled 492 to 413 computations (16.1% saved)

regimes43.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	alpha
12.0ms	i
6.0ms	beta

Results

Error	Segments	Branch
13.0b	4	`alpha`
15.6b	1	`beta`
12.5b	2	`i`

Compiler

Compiled 78 to 64 computations (17.9% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	3.8979125921748366e+91	2.03362814948767e+92

Results

4.0ms	30×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes63.0ms (0.3%)

Accuracy

Total -48.8b remaining (-334.2%)

Threshold costs -48.8b (-334.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(/.f64 1 2)
1

Calls

3 calls:

25.0ms	alpha
25.0ms	i
10.0ms	beta

Results

Error	Segments	Branch
18.9b	4	`alpha`
14.6b	2	`beta`
20.4b	3	`i`

Compiler

Compiled 60 to 50 computations (16.7% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	5.58906274256144e+116	6.551096239609222e+119

Results

16.0ms	121×	body	256	valid
2.0ms	5×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 134 to 121 computations (9.7% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative`
20×	`*-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1052
1	152	1052
2	163	1052
3	170	1052
4	174	1052
5	175	1052

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 71999999999999999262678055344365488135779184017408) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 600000000000000013855854781618722929357902934911019565258338746892905313807674613319457078120770456666469431262955144517959514067881524104125617829992214111427218858867981389255380001882112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)))))
(if (<=.f64 alpha 7600000000000000301989888) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 42999999999999999126963544841649308592437874130944) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 700000000000000016165163911888510084250886757396189492801395204708389532775620382206033257807565532777547669806781001937619433079195111454813220801657583129998422002012644954131276668862464) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2))))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 165000000000000002204526520731958298375699543621632) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 5400000000000000301517190619266897653657639319217615277134028149807818067681884880281990930218451228296868614831460257896235116205129679807447040) (/.f64 1 2) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2))))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 209999999999999995253329232153652192797441122107392) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1549999999999999973961691150905567385715618993608336368134537820837045415487395394517624508512356887142612432118539542605310888171325769097816587484125417295967109943268993276424705301020672) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 i 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 2))
(if (<=.f64 beta 1120000000000000017426546065002864187180385564551588805374143050082533834904526387656783636704853141397351034571980800) (/.f64 1 2) 1)
1

Outputs
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (+.f64 (+.f64 2 (.f64 beta 2)) (.f64 i 4)) alpha)) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (.f64 1/2 (/.f64 (+.f64 (+.f64 2 (.f64 beta 2)) (.f64 i 4)) alpha)) (/.f64 (+.f64 1 (/.f64 (.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (fma.f64 2 i (+.f64 alpha beta)))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -1/2) (.f64 1/2 (/.f64 (+.f64 (+.f64 2 (.f64 beta 2)) (.f64 i 4)) alpha)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))) 2))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 71999999999999999262678055344365488135779184017408) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 600000000000000013855854781618722929357902934911019565258338746892905313807674613319457078120770456666469431262955144517959514067881524104125617829992214111427218858867981389255380001882112) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (.f64 1/2 (/.f64 (-.f64 (+.f64 2 (.f64 2 beta)) (.f64 -4 i)) alpha)))))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 71999999999999999262678055344365488135779184017408) (/.f64 (/.f64 (+.f64 2 (.f64 i 4)) alpha) 2) (if (<=.f64 alpha 600000000000000013855854781618722929357902934911019565258338746892905313807674613319457078120770456666469431262955144517959514067881524104125617829992214111427218858867981389255380001882112) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (.f64 1/2 (/.f64 (+.f64 (+.f64 2 (.f64 beta 2)) (.f64 i 4)) alpha)))))
(if (<=.f64 alpha 7600000000000000301989888) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 42999999999999999126963544841649308592437874130944) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 700000000000000016165163911888510084250886757396189492801395204708389532775620382206033257807565532777547669806781001937619433079195111454813220801657583129998422002012644954131276668862464) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2))))
(if (<=.f64 alpha 7600000000000000301989888) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 42999999999999999126963544841649308592437874130944) (not (<=.f64 alpha 700000000000000016165163911888510084250886757396189492801395204708389532775620382206033257807565532777547669806781001937619433079195111454813220801657583129998422002012644954131276668862464))) (/.f64 (/.f64 (+.f64 2 (*.f64 i 4)) alpha) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 165000000000000002204526520731958298375699543621632) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2) (if (<=.f64 alpha 5400000000000000301517190619266897653657639319217615277134028149807818067681884880281990930218451228296868614831460257896235116205129679807447040) (/.f64 1 2) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2))))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 165000000000000002204526520731958298375699543621632) (not (<=.f64 alpha 5400000000000000301517190619266897653657639319217615277134028149807818067681884880281990930218451228296868614831460257896235116205129679807447040))) (/.f64 (/.f64 (+.f64 2 (*.f64 i 4)) alpha) 2) 1/2))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 209999999999999995253329232153652192797441122107392) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1549999999999999973961691150905567385715618993608336368134537820837045415487395394517624508512356887142612432118539542605310888171325769097816587484125417295967109943268993276424705301020672) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))))
(if (<=.f64 alpha 8800000000000000067108864) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 209999999999999995253329232153652192797441122107392) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1549999999999999973961691150905567385715618993608336368134537820837045415487395394517624508512356887142612432118539542605310888171325769097816587484125417295967109943268993276424705301020672) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))))
(if (<=.f64 i 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 2))
(if (<=.f64 i 100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 1/2)
(if (<=.f64 beta 1120000000000000017426546065002864187180385564551588805374143050082533834904526387656783636704853141397351034571980800) (/.f64 1 2) 1)
(if (<=.f64 beta 1120000000000000017426546065002864187180385564551588805374143050082533834904526387656783636704853141397351034571980800) 1/2 1)
1

Compiler

Compiled 413 to 295 computations (28.6% saved)

soundness270.0ms (1.3%)

Algorithm

3×	egg-herbie

Rules

1722×	`associate-r`
1552×	`distribute-lft-in`
1496×	`associate-l`
1350×	`+-commutative`
1326×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	961	34815
1	3574	34123
0	925	28064
1	3218	27468
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1211 to 708 computations (41.5% saved)

end156.0ms (0.7%)

Compiler: Compiled 386 to 262 computations (32.1% saved)