Details

analyze234.0ms (1%)

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)

sample2.7s (11.9%)

Results

1.8s	6882×	body	256	valid
782.0ms	768×	body	1024	valid
163.0ms	551×	body	512	valid
34.0ms	55×	body	2048	valid

Bogosity

preprocess98.0ms (0.4%)

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)

simplify68.0ms (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

13.5b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(/.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)
▶	13.6b	(/.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)

localize65.0ms (0.3%)

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))))
✓	2.5b	(+.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)
✓	18.6b	(/.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))))

✓

2.5b

(+.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)

✓

18.6b

(/.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)

series48.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
23.0ms	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)
2.0ms	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)))))
2.0ms	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	beta	@	-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)))))

rewrite134.0ms (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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simplify335.0ms (1.5%)

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)))

localize37.0ms (0.2%)

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))
✓	2.5b	(+.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)
✓	16.8b	(/.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))

✓

2.5b

(+.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)

✓

16.8b

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

Compiler

Compiled 136 to 58 computations (57.4% saved)

series18.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	i	@	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	@	-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	alpha	@	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	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)

rewrite115.0ms (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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simplify301.0ms (1.3%)

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))))

localize47.0ms (0.2%)

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)))
✓	2.5b	(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)))

✓

2.5b

(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)

series29.0ms (0.1%)

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)
4.0ms	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)
2.0ms	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)
2.0ms	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)
2.0ms	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)

rewrite112.0ms (0.5%)

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

((#(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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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))))))))))

simplify209.0ms (0.9%)

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)
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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)))

localize63.0ms (0.3%)

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))))

✓

13.8b

(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)

✓

15.3b

(/.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)

series30.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite151.0ms (0.7%)

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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simplify257.0ms (1.1%)

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))

eval2.7s (11.9%)

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

prune1.2s (5.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1755	20	1775
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1759	20	1779

Error

0.1b

Counts

1779 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
▶	48.1b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
	50.5b	(/.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)
	50.5b	(/.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)
	21.3b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2)
▶	22.0b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	21.3b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	35.5b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	13.6b	(/.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)
	38.2b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	13.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	28.7b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta alpha))) 1) 2)
	25.8b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	24.4b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	15.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	50.9b	(/.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)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	13.6b	(/.f64 (exp.f64 (log1p.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)
	44.4b	(/.f64 2 2)
▶	24.9b	(/.f64 1 2)

Compiler

Compiled 1140 to 838 computations (26.5% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta))
	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
✓	0.3b	(pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1)
✓	2.5b	(fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)

Compiler

Compiled 131 to 71 computations (45.8% saved)

series31.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	0	(fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
4.0ms	alpha	@	-inf	(fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
3.0ms	alpha	@	inf	(fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
2.0ms	beta	@	0	(fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
2.0ms	i	@	-inf	(/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`associate-+l+`
532×	`+-commutative`
482×	`add-sqr-sqrt`
470×	`*-un-lft-identity`
468×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	133
1	458	121
2	6733	121

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify211.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-+r+`
1330×	`associate-r`
1100×	`associate-l`
1086×	`associate-+l+`
732×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	964	23302
1	3315	23042

Stop Event

1×	node limit

Counts

214 → 358

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 69 to 40 computations (42% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	beta	@	0	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.0ms	i	@	inf	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.0ms	i	@	0	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.0ms	alpha	@	0	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.0ms	alpha	@	inf	(/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`associate-/r*`
906×	`associate-/l*`
658×	`associate-/r/`
500×	`associate-+l+`
368×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	302	60
2	4426	60

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-/r/`
738×	`associate-+l-`
670×	`associate-+r-`
670×	`associate--r+`
574×	`associate--l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	470	11956
1	1381	11382
2	5556	11382

Stop Event

1×	node limit

Counts

194 → 323

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

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

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 88 to 63 computations (28.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`associate-/l*`
692×	`associate-+l+`
474×	`associate-+r+`
452×	`+-commutative`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	338	64
2	5303	64

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

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

Outputs

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

simplify167.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate--l-`
1138×	`associate-+r+`
894×	`fma-def`
806×	`+-commutative`
534×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	15649
1	1459	12293
2	7547	12293

Stop Event

1×	node limit

Counts

259 → 328

Calls

Call 1

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

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

localize65.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

13.3b

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

Compiler

Compiled 110 to 60 computations (45.5% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/r/`
678×	`associate-+l+`
462×	`+-commutative`
402×	`add-sqr-sqrt`
394×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	141
1	378	121
2	5941	121

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 beta (/.f64 1 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 1 (/.f64 beta (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta beta) (/.f64 1 (fma.f64 2 i beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 i beta))) (/.f64 beta (sqrt.f64 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta))) (pow.f64 (cbrt.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta))) 2) (cbrt.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta 4)) (*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 1 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2 i beta)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 beta (neg.f64 beta)) (/.f64 1 (neg.f64 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta beta) 1) (/.f64 (-.f64 beta (*.f64 2 i)) (-.f64 (*.f64 beta beta) (*.f64 (*.f64 i i) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta beta) 1) (/.f64 (fma.f64 beta beta (*.f64 (*.f64 2 i) (-.f64 (*.f64 2 i) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 2 i) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 i beta))) (/.f64 (*.f64 beta beta) (sqrt.f64 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 i beta)) 2)) (/.f64 (*.f64 beta beta) (cbrt.f64 (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 2 i beta)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta beta) (-.f64 (*.f64 beta beta) (*.f64 (*.f64 i i) 4))) (-.f64 beta (*.f64 2 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 beta beta) (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 2 i) 3))) (fma.f64 beta beta (*.f64 (*.f64 2 i) (-.f64 (*.f64 2 i) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 (*.f64 i i) 4))) (*.f64 (*.f64 beta beta) (-.f64 beta (*.f64 2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 2 i) 3))) (*.f64 (*.f64 beta beta) (fma.f64 beta beta (*.f64 (*.f64 2 i) (-.f64 (*.f64 2 i) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 beta (fma.f64 2 i beta))) beta)))) 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simplify209.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1792×	`associate-r`
1782×	`associate-/l*`
1588×	`associate-*r/`
774×	`associate-/r*`
766×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	28200
1	3305	27812

Stop Event

1×	node limit

Counts

334 → 576

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 beta 2) i))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) i))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 beta 5) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))))
beta
(+.f64 beta (*.f64 -2 i))
(+.f64 beta (+.f64 (.f64 -2 i) (.f64 4 (/.f64 (pow.f64 i 2) beta))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 i 3) (pow.f64 beta 2))) (+.f64 beta (+.f64 (.f64 -2 i) (*.f64 4 (/.f64 (pow.f64 i 2) beta)))))
beta
(+.f64 beta (*.f64 -2 i))
(+.f64 beta (+.f64 (.f64 -2 i) (.f64 4 (/.f64 (pow.f64 i 2) beta))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 i 3) (pow.f64 beta 2))) (+.f64 beta (+.f64 (.f64 -2 i) (*.f64 4 (/.f64 (pow.f64 i 2) beta)))))
beta
(+.f64 beta (*.f64 -2 i))
(+.f64 beta (+.f64 (.f64 -2 i) (.f64 4 (/.f64 (pow.f64 i 2) beta))))
(+.f64 (.f64 -8 (/.f64 (pow.f64 i 3) (pow.f64 beta 2))) (+.f64 beta (+.f64 (.f64 -2 i) (*.f64 4 (/.f64 (pow.f64 i 2) beta)))))
(*.f64 1/2 (/.f64 (pow.f64 beta 2) i))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) i))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 beta 5) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))))
(*.f64 1/2 (/.f64 (pow.f64 beta 2) i))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (*.f64 1/2 (/.f64 (pow.f64 beta 2) i))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 beta 4) (pow.f64 i 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 beta 5) (pow.f64 i 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (pow.f64 i 2))) (.f64 1/2 (/.f64 (pow.f64 beta 2) i)))))
(.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (*.f64 2 i))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) (+.f64 2 alpha))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 3))))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) (+.f64 2 alpha))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 3))))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) (+.f64 2 alpha))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))) (.f64 -1 (.f64 (pow.f64 beta 5) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 3)))))) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (.f64 -1/8 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 3))))))))))
1
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) 1)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 i (.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (.f64 -1 (.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i))))))))) (pow.f64 beta 3))) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2))))))
1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 i beta)) (.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (+.f64 alpha (.f64 2 i)))) (.f64 -2 i)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2))) (+.f64 (.f64 -2 (/.f64 i beta)) (.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta)))))
(+.f64 (.f64 -2 (/.f64 (.f64 i (.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) (+.f64 (.f64 -1 (+.f64 2 (+.f64 alpha (.f64 2 i)))) (.f64 -2 i)))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (+.f64 alpha (.f64 2 i)))) (.f64 -2 i)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (+.f64 (.f64 -1 (+.f64 2 (+.f64 alpha (.f64 2 i)))) (.f64 -2 i))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (+.f64 alpha (.f64 2 i)))) (.f64 -2 i)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2))) (+.f64 (.f64 -2 (/.f64 i beta)) (.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) beta)))))))
(/.f64 beta (+.f64 beta (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))) (.f64 beta (+.f64 beta (+.f64 2 alpha))))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 i 2))) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))) (.f64 beta (+.f64 beta (+.f64 2 alpha))))))) (.f64 beta (+.f64 beta (+.f64 2 alpha))))) (.f64 -4 (/.f64 (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) (.f64 beta (+.f64 beta (+.f64 2 alpha)))))) (pow.f64 i 3))) (+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (.f64 2 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))) (.f64 beta (+.f64 beta (+.f64 2 alpha))))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 i 2))) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (.f64 (pow.f64 beta 2) (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))))) (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 i 4))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (.f64 (pow.f64 beta 2) (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))))) (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 i 4))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))) (pow.f64 i 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/64 (.f64 (pow.f64 beta 2) (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha))))))) (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha))))) (+.f64 (.f64 2 beta) (.f64 2 (+.f64 beta (+.f64 2 alpha)))))) (.f64 -1/64 (.f64 (pow.f64 beta 3) (.f64 (+.f64 (.f64 2 (+.f64 beta (+.f64 2 alpha))) (.f64 2 beta)) (+.f64 beta (+.f64 2 alpha)))))) (pow.f64 i 5))) (.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2))))))
(*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta))) (pow.f64 i 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (.f64 -1/64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta)) 2)))) (pow.f64 i 4))) (.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))))
(+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 beta 3) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta)))) (pow.f64 i 5))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta))) (pow.f64 i 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (.f64 -1/64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta)) 2)))) (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta))) (pow.f64 i 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))) (.f64 -1/64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (.f64 -2 (+.f64 beta (+.f64 2 alpha))) (.f64 -2 beta)) 2)))) (pow.f64 i 4))) (*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))))))
(/.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 -1 (/.f64 (.f64 (pow.f64 beta 2) alpha) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 3))) (+.f64 (/.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) alpha) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) alpha) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)))) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 alpha 3)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) 4)))))))
(/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 3)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 4)))) (+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 2)))))))
(/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (*.f64 2 i)) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 3)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 4)))) (+.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2)) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 beta (+.f64 2 (.f64 2 i)))) (.f64 (+.f64 beta (.f64 2 i)) (pow.f64 alpha 2)))))))
1
(+.f64 1 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (*.f64 2 i)))))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) (+.f64 2 alpha))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2))))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 2)))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (+.f64 alpha (.f64 2 i))) 3))))))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) (+.f64 2 alpha))) (.f64 (pow.f64 i 2) (pow.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) 2)))))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) 2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 i (.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (.f64 -1 (.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i))))))))) (pow.f64 beta 3))) (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) 2)) (.f64 2 (.f64 i (+.f64 2 (+.f64 alpha (.f64 2 i)))))) (pow.f64 beta 2))))))
2
(+.f64 2 (+.f64 (.f64 -2 (/.f64 i beta)) (.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 2 i))) beta))))
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(*.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) 1) (-.f64 4 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2))) (-.f64 (-.f64 2 (fma.f64 2 i beta)) alpha))
(.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) 1) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (.f64 (fma.f64 2 i 2) (fma.f64 2 i 2)))) (-.f64 (+.f64 beta alpha) (fma.f64 2 i 2)))
(.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) 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 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2) (-.f64 4 (.f64 2 (+.f64 (fma.f64 2 i beta) alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2) -4))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha -2))))
(.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2) (-.f64 4 (.f64 2 (+.f64 (fma.f64 2 i beta) alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 2 i beta) alpha) 2) -4))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) (+.f64 alpha -2))))
(pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)
(pow.f64 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 3)
(pow.f64 (.f64 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))) (/.f64 (fma.f64 2 i beta) (.f64 beta beta))) -1)
(pow.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (-.f64 -2 (+.f64 (fma.f64 2 i beta) alpha))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(exp.f64 (log.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(-.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)) (/.f64 1 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)))
(-.f64 (+.f64 2 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1)
(.f64 1 (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))
(.f64 (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 1)
(.f64 (hypot.f64 1 (/.f64 beta (sqrt.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))) (hypot.f64 1 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1) (/.f64 1 (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)))
(.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))))
(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)) (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))) (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (-.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2))) (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1) (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1)) (+.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1) (-.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (pow.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (-.f64 (.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (.f64 (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))) (+.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1) (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (-.f64 (.f64 (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))) (.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (-.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3))) (+.f64 1 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (pow.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1) (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))) (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1) (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3)) (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2)) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) -1)) (neg.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 2) (-.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))))
(pow.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 1)
(pow.f64 (hypot.f64 1 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))))))
(exp.f64 (log1p.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))
(exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)))
(fma.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) 1)
(fma.f64 1 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 1)
(fma.f64 (/.f64 beta (sqrt.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) (/.f64 beta (sqrt.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 2) (cbrt.f64 (/.f64 (.f64 beta beta) (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))) 1)

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

eval1.3s (5.9%)

Compiler: Compiled 78625 to 52337 computations (33.4% saved)

prune786.0ms (3.4%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1690	18	1708
Fresh	10	5	15
Picked	0	1	1
Done	3	1	4
Total	1703	25	1728

Error

0.1b

Counts

1728 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	19.2b	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
	50.5b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) alpha) (+.f64 (/.f64 (.f64 (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))) (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i))))) (.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i)))) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 (/.f64 (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)) (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)))))))) 2)
	48.3b	(/.f64 (/.f64 (/.f64 (fma.f64 2 (fma.f64 2 i beta) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
	48.1b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 4 i) beta) (.f64 -1 (+.f64 beta 2))) alpha) 2)
	51.7b	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	60.5b	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
	58.0b	(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
	48.5b	(/.f64 (/.f64 (expm1.f64 (log.f64 (+.f64 3 (*.f64 2 (fma.f64 2 i beta))))) alpha) 2)
	48.1b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
	21.3b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
✓	22.0b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	14.5b	(/.f64 (+.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	21.3b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	36.1b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	13.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	37.8b	(/.f64 (+.f64 (/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i)) 1) 2)
	25.8b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	15.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2)
▶	17.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
▶	51.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) 2) 2)
	51.1b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 (+.f64 2 alpha) (*.f64 2 i)) beta))) 2)
▶	22.0b	(/.f64 (+.f64 1 (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
▶	44.4b	(/.f64 2 2)
✓	24.9b	(/.f64 1 2)

Compiler

Compiled 1058 to 779 computations (26.4% saved)

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
✓	0.1b	(*.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha))))
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))
✓	2.5b	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

Compiler

Compiled 161 to 75 computations (53.4% saved)

series21.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`associate-+l+`
478×	`+-commutative`
456×	`add-sqr-sqrt`
446×	`pow1`
446×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	208
1	454	202
2	6654	202

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify301.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-r`
1246×	`associate-+l+`
984×	`associate-+r+`
692×	`associate--l+`
632×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1175	39736
1	4183	38874

Stop Event

1×	node limit

Counts

314 → 582

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

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

localize3.0ms (0%)

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

localize54.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
1042×	`associate-/r*`
996×	`distribute-lft-in`
964×	`distribute-rgt-in`
774×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	231	44
2	3306	44

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1054×	`+-commutative`
770×	`associate-+l-`
660×	`associate-+r-`
632×	`associate--r+`
580×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	9849
1	1421	9475
2	5565	9441

Stop Event

1×	node limit

Counts

197 → 296

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 70 to 51 computations (27.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-*l/`
1096×	`distribute-lft-in`
940×	`associate-/r*`
708×	`associate-/l*`
368×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	248	21
2	3378	21

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-+r+`
1312×	`associate-+l+`
976×	`associate-*r/`
880×	`fma-def`
742×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2715
1	479	1981
2	1985	1867
3	6744	1867

Stop Event

1×	node limit

Counts

71 → 74

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

13.8b

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

Compiler

Compiled 100 to 65 computations (35% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	i	@	inf	(/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))
1.0ms	beta	@	0	(/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))
1.0ms	i	@	0	(/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))
1.0ms	beta	@	-inf	(/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))
1.0ms	i	@	-inf	(/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-/r/`
510×	`associate-+l+`
392×	`+-commutative`
350×	`associate-+r+`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	129
1	332	113
2	5324	113

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (-.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 2 i beta) (neg.f64 (+.f64 beta (fma.f64 2 i 2))))) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))) 2)) (/.f64 beta (cbrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (fma.f64 2 i beta)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta (fma.f64 2 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) (+.f64 beta (fma.f64 2 i 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (fma.f64 2 i beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta 4)) 1) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (fma.f64 2 i beta) 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simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-r`
1174×	`*-commutative`
1104×	`associate-l`
922×	`associate-/l*`
844×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	24005
1	2978	23845

Stop Event

1×	node limit

Counts

307 → 489

Calls

Call 1

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

Outputs
(.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (*.f64 2 i)))))
(.f64 1/2 (/.f64 (.f64 beta beta) (*.f64 i (fma.f64 2 i 2))))
(.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (fma.f64 2 i 2)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) 2)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))) (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (.f64 2 i))))))
(fma.f64 1/2 (/.f64 (.f64 beta beta) (.f64 i (fma.f64 2 i 2))) (.f64 -1/4 (.f64 (/.f64 (pow.f64 beta 3) (*.f64 i i)) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2)))))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (fma.f64 2 i 2)) (.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (.f64 i i))) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 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 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3))))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) 2)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))) (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (*.f64 2 i)))))))
(fma.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (fma.f64 2 i 2) 2) (.f64 i i))) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (.f64 (pow.f64 i 3) (pow.f64 (fma.f64 2 i 2) 3)))))) (fma.f64 1/2 (/.f64 (.f64 beta beta) (.f64 i (fma.f64 2 i 2))) (.f64 -1/4 (.f64 (/.f64 (pow.f64 beta 3) (.f64 i i)) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2))))))
(fma.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 1/4 (.f64 i (.f64 i (pow.f64 (fma.f64 2 i 2) 2)))) (.f64 -1/8 (/.f64 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (pow.f64 (fma.f64 2 i 2) 3)) (pow.f64 i 3))))) (fma.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (fma.f64 2 i 2)) (.f64 (.f64 -1/4 (/.f64 (pow.f64 beta 3) (.f64 i i))) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 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 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3))))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 beta 3) (+.f64 (.f64 4 i) 2)) (.f64 (pow.f64 (+.f64 2 (.f64 2 i)) 2) (pow.f64 i 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 5) (+.f64 (.f64 -1/8 (/.f64 (+.f64 (.f64 4 i) 2) (.f64 (pow.f64 i 3) (pow.f64 (+.f64 2 (.f64 2 i)) 3)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 4 i) 2) (+.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 i (+.f64 2 (.f64 2 i)))))))) (.f64 1/2 (/.f64 (pow.f64 beta 2) (.f64 i (+.f64 2 (*.f64 2 i))))))))
(fma.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (fma.f64 2 i 2) 2) (.f64 i i))) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (.f64 (pow.f64 i 3) (pow.f64 (fma.f64 2 i 2) 3)))))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 beta 3) (.f64 i i)) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2))) (fma.f64 -1 (.f64 (pow.f64 beta 5) (fma.f64 -1/8 (/.f64 (fma.f64 4 i 2) (.f64 (pow.f64 i 3) (pow.f64 (fma.f64 2 i 2) 3))) (.f64 -1/2 (.f64 (/.f64 (fma.f64 4 i 2) i) (/.f64 (+.f64 (/.f64 1/4 (.f64 (pow.f64 (fma.f64 2 i 2) 2) (.f64 i i))) (.f64 -1/8 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (.f64 (pow.f64 i 3) (pow.f64 (fma.f64 2 i 2) 3))))) (fma.f64 2 i 2)))))) (.f64 1/2 (/.f64 (.f64 beta beta) (.f64 i (fma.f64 2 i 2)))))))
(fma.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (/.f64 1/4 (.f64 i (.f64 i (pow.f64 (fma.f64 2 i 2) 2)))) (.f64 -1/8 (/.f64 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (pow.f64 (fma.f64 2 i 2) 3)) (pow.f64 i 3))))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 beta 3) (.f64 i i)) (/.f64 (fma.f64 4 i 2) (pow.f64 (fma.f64 2 i 2) 2))) (fma.f64 -1 (.f64 (pow.f64 beta 5) (fma.f64 -1/8 (/.f64 (/.f64 (fma.f64 4 i 2) (pow.f64 i 3)) (pow.f64 (fma.f64 2 i 2) 3)) (.f64 -1/2 (.f64 (/.f64 (fma.f64 4 i 2) i) (/.f64 (+.f64 (/.f64 1/4 (.f64 i (.f64 i (pow.f64 (fma.f64 2 i 2) 2)))) (.f64 -1/8 (/.f64 (/.f64 (pow.f64 (fma.f64 4 i 2) 2) (pow.f64 (fma.f64 2 i 2) 3)) (pow.f64 i 3)))) (fma.f64 2 i 2)))))) (.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (fma.f64 2 i 2))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta)))
(+.f64 1 (neg.f64 (/.f64 (fma.f64 4 i 2) beta)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) 2) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 4 i 2) beta) (neg.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (*.f64 beta beta)))))
(+.f64 1 (.f64 -1 (+.f64 (/.f64 (fma.f64 4 i 2) beta) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (.f64 beta beta)))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) 2) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (+.f64 (.f64 4 i) 2))) (.f64 -2 (.f64 i (.f64 (+.f64 2 (.f64 2 i)) (+.f64 (.f64 4 i) 2))))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 4 i) 2) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2))))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 4 i 2) beta) (.f64 -1 (+.f64 (/.f64 (fma.f64 -2 (.f64 i (.f64 (fma.f64 4 i 2) (fma.f64 2 i 2))) (neg.f64 (.f64 (fma.f64 4 i 2) (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2))))))) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (*.f64 beta beta))))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 4 i 2) beta) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 i (.f64 (fma.f64 4 i 2) (fma.f64 2 i 2))) (neg.f64 (.f64 (fma.f64 4 i 2) (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2))))))) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 4 i 2) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (.f64 beta beta))))))
1
(+.f64 1 (+.f64 (.f64 -2 (/.f64 i beta)) (.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta))))
(+.f64 1 (fma.f64 -2 (/.f64 i beta) (/.f64 (neg.f64 (fma.f64 2 i 2)) beta)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 i beta)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 2 (*.f64 2 i)) beta)))))
(+.f64 1 (fma.f64 -2 (/.f64 i beta) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (.f64 beta beta)) (/.f64 (fma.f64 2 i 2) beta)))))
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (*.f64 beta beta)) (fma.f64 -2 (/.f64 i beta) (/.f64 (neg.f64 (fma.f64 2 i 2)) beta))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 i beta)) (+.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 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (+.f64 2 (.f64 2 i))) (.f64 -2 i)) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 i) (.f64 -1 (+.f64 2 (.f64 2 i)))) 2)) (.f64 2 (.f64 i (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 2 (.f64 2 i)) beta)))))))
(+.f64 1 (fma.f64 -2 (/.f64 i beta) (fma.f64 -2 (/.f64 (.f64 (.f64 i (fma.f64 2 i 2)) (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2)))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (/.f64 (pow.f64 beta 3) (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))))) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (.f64 beta beta)) (/.f64 (fma.f64 2 i 2) beta)))))))
(+.f64 1 (fma.f64 -2 (/.f64 i beta) (fma.f64 -2 (/.f64 (.f64 i (fma.f64 2 i 2)) (/.f64 (pow.f64 beta 3) (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))))) (fma.f64 -1 (.f64 (/.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) (pow.f64 beta 3)) (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2))))) (.f64 -1 (+.f64 (/.f64 (fma.f64 2 i 2) beta) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 -2 i (neg.f64 (fma.f64 2 i 2))) 2) (.f64 2 (.f64 i (fma.f64 2 i 2)))) (.f64 beta beta))))))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 beta (+.f64 beta 2)))
(fma.f64 -1 (.f64 i (+.f64 (/.f64 2 (+.f64 beta 2)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (.f64 i -2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 i 2) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 2)) (.f64 2 beta))) (.f64 beta (+.f64 beta 2)))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (.f64 (.f64 i i) (fma.f64 -1 (.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 beta 2)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) beta) (/.f64 (.f64 2 (+.f64 (+.f64 beta 2) beta)) (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (.f64 i (+.f64 (/.f64 2 (+.f64 beta 2)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 beta (+.f64 beta 2))))
(fma.f64 -1 (.f64 i (.f64 i (fma.f64 -1 (/.f64 (.f64 (.f64 4 (+.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (*.f64 i -2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 i 2) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 2)) (.f64 2 beta))) (.f64 beta (+.f64 beta 2)))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 i 3) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta 2)) (.f64 2 beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 2)) (.f64 2 beta))) (.f64 beta (+.f64 beta 2)))) (.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (.f64 beta (+.f64 beta 2))))))) (+.f64 (.f64 -1 (.f64 i (+.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 beta (+.f64 beta 2)))))
(fma.f64 -1 (.f64 (.f64 i i) (fma.f64 -1 (.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 beta 2)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) beta) (/.f64 (.f64 2 (+.f64 (+.f64 beta 2) beta)) (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1 (.f64 (pow.f64 i 3) (fma.f64 -4 (/.f64 (+.f64 (/.f64 2 (+.f64 beta 2)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2))) (neg.f64 (.f64 (/.f64 (.f64 2 (+.f64 (+.f64 beta 2) beta)) beta) (/.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 beta 2)) (.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) beta) (/.f64 (.f64 2 (+.f64 (+.f64 beta 2) beta)) (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)))))) (fma.f64 -1 (.f64 i (+.f64 (/.f64 2 (+.f64 beta 2)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 beta (+.f64 beta 2)))))
(fma.f64 -1 (.f64 i (.f64 i (fma.f64 -1 (/.f64 (.f64 (.f64 4 (+.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 -1 (.f64 (pow.f64 i 3) (fma.f64 -1 (.f64 (/.f64 2 (/.f64 beta (+.f64 beta (+.f64 beta 2)))) (/.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 4 (+.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2))) (/.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (/.f64 (.f64 -8 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta (+.f64 beta 2)) (.f64 (.f64 i -2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))
(*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2)))
(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))
(/.f64 1/4 (/.f64 (.f64 i i) (.f64 beta beta)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (.f64 2 (+.f64 beta 2)) (.f64 2 beta))) (pow.f64 i 3))) (*.f64 1/4 (/.f64 (pow.f64 beta 2) (pow.f64 i 2))))
(fma.f64 -1/16 (/.f64 (.f64 (.f64 2 (+.f64 (+.f64 beta 2) beta)) (.f64 beta beta)) (pow.f64 i 3)) (/.f64 (.f64 1/4 (.f64 beta beta)) (.f64 i i)))
(fma.f64 -1/16 (/.f64 (.f64 2 (+.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 i 3) (.f64 beta beta))) (/.f64 1/4 (/.f64 (.f64 i i) (.f64 beta beta))))
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1
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2
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2
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(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 3)) (-.f64 1 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))) (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))))))) (+.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 3)) (-.f64 1 (.f64 (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))) (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))))) (-.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)))
(.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))) (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2)) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))) 3))) (+.f64 1 (+.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))) (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))))) (pow.f64 (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 3)) (+.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) (-.f64 (.f64 (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))) (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))) (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))) 3)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) (-.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2))))
(.f64 (/.f64 1 (-.f64 1 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))))) (-.f64 1 (pow.f64 (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2)))
(.f64 (/.f64 1 (-.f64 1 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))) (-.f64 1 (pow.f64 (.f64 beta (/.f64 beta (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))) (+.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 3))))
(.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))))))
(.f64 (+.f64 1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (.f64 beta (/.f64 beta (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2)) (-.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2)) (-.f64 1 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (-.f64 1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)) (-.f64 1 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 3)) (+.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (-.f64 1 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) 1) (-.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) -1) (+.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) -1))
(/.f64 (+.f64 -1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)) (+.f64 -1 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2))) (neg.f64 (-.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) -1) (+.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) -1))
(/.f64 (+.f64 -1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2)) (+.f64 -1 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 2) (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2)))) 2) (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 3)) (-.f64 -1 (-.f64 (pow.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))))))
(pow.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) 1)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(pow.f64 (hypot.f64 1 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)) 3)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) 3) 1/3)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)))
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1))))
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1) 3))
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)))
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(exp.f64 (log1p.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))))
(exp.f64 (log1p.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) 1))
(exp.f64 (log1p.f64 (*.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))))))
(exp.f64 (log1p.f64 (.f64 beta (/.f64 beta (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)))
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(fma.f64 (.f64 beta beta) (/.f64 1 (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(fma.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 beta (sqrt.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) (/.f64 beta (sqrt.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 1)
(+.f64 (pow.f64 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2) 1)
(+.f64 1 (pow.f64 (/.f64 beta (sqrt.f64 (*.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2) (cbrt.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)
(fma.f64 (/.f64 beta (fma.f64 2 i beta)) (/.f64 beta (+.f64 beta (fma.f64 2 i 2))) 1)

eval1.8s (7.8%)

Compiler: Compiled 71160 to 47104 computations (33.8% saved)

prune643.0ms (2.8%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1435	6	1441
Fresh	4	14	18
Picked	0	1	1
Done	2	4	6
Total	1441	25	1466

Error

0.1b

Counts

1466 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	19.2b	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
	50.5b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) alpha) (+.f64 (/.f64 (.f64 (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))) (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i))))) (.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i)))) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 (/.f64 (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)) (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)))))))) 2)
	48.3b	(/.f64 (/.f64 (/.f64 (fma.f64 2 (fma.f64 2 i beta) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
	48.1b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 4 i) beta) (.f64 -1 (+.f64 beta 2))) alpha) 2)
	51.7b	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	60.5b	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
	58.0b	(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
	48.5b	(/.f64 (/.f64 (expm1.f64 (log.f64 (+.f64 3 (*.f64 2 (fma.f64 2 i beta))))) alpha) 2)
	48.1b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
	21.3b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
✓	22.0b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	21.3b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
▶	36.1b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	14.5b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	13.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	37.8b	(/.f64 (+.f64 (/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i)) 1) 2)
	25.8b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 (+.f64 2 alpha) (.f64 2 i)))) 1) 2)
▶	17.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	49.1b	(/.f64 (+.f64 (*.f64 -1 (/.f64 i (/.f64 beta 4))) 2) 2)
	50.2b	(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
✓	22.0b	(/.f64 (+.f64 1 (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))) 2)
	24.9b	(/.f64 (+.f64 1 (/.f64 (.f64 beta beta) (.f64 beta (+.f64 beta 2)))) 2)
▶	61.7b	(/.f64 (+.f64 -1 1) 2)
✓	44.4b	(/.f64 2 2)
✓	24.9b	(/.f64 1 2)

Compiler

Compiled 979 to 718 computations (26.7% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
✓	0.0b	(/.f64 beta (+.f64 beta (*.f64 2 i)))
✓	0.1b	(/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	3.1b	(.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i))))

Compiler

Compiled 122 to 67 computations (45.1% saved)

series34.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	-inf	(.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i))))
3.0ms	i	@	-inf	(/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
3.0ms	alpha	@	inf	(.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i))))
1.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
1.0ms	i	@	0	(/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`associate-/l/`
656×	`associate-+l+`
454×	`+-commutative`
404×	`add-sqr-sqrt`
396×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	178
1	379	154
2	5923	154

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) beta) (.f64 (/.f64 beta (fma.f64 2 i beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (/.f64 beta (fma.f64 2 i beta))) (.f64 alpha (/.f64 beta (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 beta (fma.f64 2 i beta)) alpha) (.f64 (/.f64 beta (fma.f64 2 i beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (/.f64 beta (fma.f64 2 i beta))) (.f64 beta (/.f64 beta (fma.f64 2 i beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (fma.f64 2 i beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha beta) (/.f64 (fma.f64 2 i beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (fma.f64 2 i beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 i beta) (.f64 beta (+.f64 alpha 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simplify240.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/l*`
1314×	`associate-/r*`
1114×	`+-commutative`
750×	`associate-*r/`
738×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	982	27741
1	3461	27223

Stop Event

1×	node limit

Counts

323 → 535

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

Outputs
(/.f64 (pow.f64 beta 2) (+.f64 beta (*.f64 2 i)))
(/.f64 (*.f64 beta beta) (fma.f64 2 i beta))
(/.f64 beta (/.f64 (fma.f64 2 i beta) beta))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(/.f64 (.f64 beta alpha) (+.f64 beta (.f64 2 i)))
(*.f64 alpha (/.f64 beta (fma.f64 2 i beta)))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(/.f64 (.f64 beta alpha) (+.f64 beta (.f64 2 i)))
(*.f64 alpha (/.f64 beta (fma.f64 2 i beta)))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(+.f64 (/.f64 (pow.f64 beta 2) (+.f64 beta (.f64 2 i))) (/.f64 (.f64 beta alpha) (+.f64 beta (*.f64 2 i))))
(*.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 beta alpha))
(.f64 1/2 (/.f64 (.f64 beta alpha) i))
(*.f64 1/2 (/.f64 beta (/.f64 i alpha)))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) (.f64 1/2 (/.f64 (*.f64 beta alpha) i)))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (.f64 1/2 (/.f64 beta (/.f64 i alpha))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) i)) (.f64 1/2 (/.f64 (*.f64 beta alpha) i))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (fma.f64 -1/2 (/.f64 (pow.f64 beta 3) (/.f64 i (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))))) (.f64 1/2 (/.f64 beta (/.f64 i alpha)))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (/.f64 i (pow.f64 beta 3))) (.f64 1/2 (/.f64 beta (/.f64 i alpha)))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 beta 4) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) (pow.f64 i 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 1/2 (/.f64 1 i)) (.f64 1/4 (/.f64 alpha (pow.f64 i 2))))) i)) (.f64 1/2 (/.f64 (*.f64 beta alpha) i)))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (fma.f64 1/4 (/.f64 (.f64 (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (pow.f64 beta 4)) (.f64 i i)) (fma.f64 -1/2 (/.f64 (pow.f64 beta 3) (/.f64 i (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))))) (.f64 1/2 (/.f64 beta (/.f64 i alpha))))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (/.f64 (.f64 i i) (pow.f64 beta 4))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 i) (.f64 -1/4 (/.f64 alpha (.f64 i i)))) (/.f64 i (pow.f64 beta 3))) (*.f64 1/2 (/.f64 beta (/.f64 i alpha))))))
beta
(-.f64 (+.f64 beta alpha) (*.f64 2 i))
(+.f64 beta (+.f64 alpha (*.f64 i -2)))
(-.f64 (+.f64 beta (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 alpha (.f64 2 i))) beta)) alpha)) (.f64 2 i))
(+.f64 beta (-.f64 (fma.f64 -2 (/.f64 (.f64 i (+.f64 alpha (.f64 i -2))) beta) alpha) (*.f64 2 i)))
(+.f64 beta (-.f64 (fma.f64 -2 (/.f64 (+.f64 alpha (.f64 i -2)) (/.f64 beta i)) alpha) (.f64 2 i)))
(-.f64 (+.f64 beta (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 i 2) (-.f64 alpha (.f64 2 i))) (pow.f64 beta 2))) (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 alpha (.f64 2 i))) beta)) alpha))) (*.f64 2 i))
(+.f64 beta (-.f64 (fma.f64 4 (/.f64 (.f64 (.f64 i i) (+.f64 alpha (.f64 i -2))) (.f64 beta beta)) (fma.f64 -2 (/.f64 (.f64 i (+.f64 alpha (.f64 i -2))) beta) alpha)) (*.f64 2 i)))
(+.f64 beta (-.f64 (fma.f64 4 (/.f64 (.f64 i i) (/.f64 beta (/.f64 (+.f64 alpha (.f64 i -2)) beta))) (fma.f64 -2 (/.f64 (+.f64 alpha (.f64 i -2)) (/.f64 beta i)) alpha)) (.f64 2 i)))
beta
(+.f64 beta (.f64 -1 (-.f64 (.f64 -1 alpha) (*.f64 -2 i))))
(+.f64 beta (neg.f64 (+.f64 (neg.f64 alpha) (*.f64 2 i))))
(+.f64 beta (neg.f64 (-.f64 (neg.f64 alpha) (*.f64 i -2))))
(+.f64 (.f64 2 (/.f64 (.f64 i (-.f64 (.f64 -1 alpha) (.f64 -2 i))) beta)) (+.f64 beta (.f64 -1 (-.f64 (.f64 -1 alpha) (*.f64 -2 i)))))
(fma.f64 2 (/.f64 i (/.f64 beta (+.f64 (neg.f64 alpha) (.f64 2 i)))) (+.f64 beta (neg.f64 (+.f64 (neg.f64 alpha) (.f64 2 i)))))
(fma.f64 2 (/.f64 i (/.f64 beta (-.f64 (neg.f64 alpha) (.f64 i -2)))) (+.f64 beta (neg.f64 (-.f64 (neg.f64 alpha) (.f64 i -2)))))
(+.f64 (.f64 2 (/.f64 (.f64 i (-.f64 (.f64 -1 alpha) (.f64 -2 i))) beta)) (+.f64 beta (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 i 2) (-.f64 (.f64 -1 alpha) (.f64 -2 i))) (pow.f64 beta 2))) (.f64 -1 (-.f64 (.f64 -1 alpha) (*.f64 -2 i))))))
(fma.f64 2 (/.f64 i (/.f64 beta (+.f64 (neg.f64 alpha) (.f64 2 i)))) (+.f64 beta (fma.f64 -4 (/.f64 (.f64 i i) (/.f64 (.f64 beta beta) (+.f64 (neg.f64 alpha) (.f64 2 i)))) (neg.f64 (+.f64 (neg.f64 alpha) (*.f64 2 i))))))
(fma.f64 2 (/.f64 i (/.f64 beta (-.f64 (neg.f64 alpha) (.f64 i -2)))) (+.f64 beta (fma.f64 -4 (/.f64 (.f64 i i) (/.f64 (.f64 beta beta) (-.f64 (neg.f64 alpha) (.f64 i -2)))) (neg.f64 (-.f64 (neg.f64 alpha) (*.f64 i -2))))))
(+.f64 beta alpha)
(+.f64 beta (+.f64 (.f64 -2 (/.f64 (.f64 i (+.f64 beta alpha)) beta)) alpha))
(+.f64 beta (fma.f64 -2 (/.f64 i (/.f64 beta (+.f64 beta alpha))) alpha))
(+.f64 beta (+.f64 (.f64 -2 (/.f64 (.f64 i (+.f64 beta alpha)) beta)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 i 2) (+.f64 beta alpha)) (pow.f64 beta 2))) alpha)))
(+.f64 beta (fma.f64 -2 (/.f64 i (/.f64 beta (+.f64 beta alpha))) (fma.f64 4 (/.f64 (.f64 i i) (/.f64 (.f64 beta beta) (+.f64 beta alpha))) alpha)))
(+.f64 beta (+.f64 (.f64 -2 (/.f64 (.f64 i (+.f64 beta alpha)) beta)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 i 2) (+.f64 beta alpha)) (pow.f64 beta 2))) (+.f64 alpha (.f64 -8 (/.f64 (.f64 (pow.f64 i 3) (+.f64 beta alpha)) (pow.f64 beta 3)))))))
(+.f64 beta (fma.f64 -2 (/.f64 i (/.f64 beta (+.f64 beta alpha))) (fma.f64 4 (/.f64 (.f64 i i) (/.f64 (.f64 beta beta) (+.f64 beta alpha))) (+.f64 alpha (.f64 -8 (/.f64 (.f64 (pow.f64 i 3) (+.f64 beta alpha)) (pow.f64 beta 3)))))))
(+.f64 beta (+.f64 (fma.f64 -2 (/.f64 i (/.f64 beta (+.f64 beta alpha))) (fma.f64 4 (/.f64 (.f64 i i) (/.f64 (.f64 beta beta) (+.f64 beta alpha))) alpha)) (*.f64 -8 (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 beta 3) (pow.f64 i 3))))))
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1
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2
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2
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(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 beta (*.f64 (+.f64 (fma.f64 2 i 2) (+.f64 beta alpha)) (fma.f64 2 i beta))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 2) (cbrt.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 beta (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 beta (*.f64 (+.f64 (fma.f64 2 i 2) (+.f64 beta alpha)) (fma.f64 2 i beta))) 1)

localize11.0ms (0%)

Compiler: Compiled 14 to 14 computations (0% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	-inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	inf	(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
0.0ms	beta	@	0	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	-inf	(/.f64 beta (+.f64 beta 2))

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

Outputs

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

((#(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))))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def`
804×	`times-frac`
770×	`associate-/l*`
770×	`unswap-sqr`
642×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2706
1	481	2460
2	1721	2280

Stop Event

1×	node limit

Counts

94 → 129

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.6b	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))

Compiler

Compiled 52 to 25 computations (51.9% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	i	@	inf	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))
1.0ms	beta	@	0	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))
1.0ms	i	@	0	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))
1.0ms	beta	@	inf	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))
0.0ms	beta	@	-inf	(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`associate-*r/`
1080×	`associate-*l/`
984×	`*-commutative`
670×	`unswap-sqr`
642×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	194	19
2	2762	19

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

Inputs
(/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i))

Outputs

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`associate-/r*`
946×	`*-commutative`
926×	`associate-/l/`
914×	`unswap-sqr`
716×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	204	3466
1	601	2874
2	2343	2874
3	6883	2874

Stop Event

1×	node limit

Counts

106 → 108

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
✓	2.9b	(+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

Compiler

Compiled 90 to 55 computations (38.9% saved)

series38.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	i	@	inf	(+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
1.0ms	i	@	-inf	(+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
1.0ms	alpha	@	0	(/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`associate-/r*`
822×	`associate-+l+`
436×	`+-commutative`
416×	`associate-+r+`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	92
1	371	76
2	5615	76

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)) (/.f64 1 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1) (+.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))) (+.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) -1) (+.f64 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(fma.f64 i 2 2))) -1)) (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)))) (cbrt.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))) (-.f64 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) 1) (-.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) (sqrt.f64 (-.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))) (sqrt.f64 (-.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))) (cbrt.f64 (-.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2) (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 i -2 beta) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 i -2 beta) (*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 i -2 beta)) (*.f64 (sqrt.f64 (fma.f64 i -2 beta)) (/.f64 1 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 i -2 beta)) (/.f64 -1 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) (/.f64 (fma.f64 i -2 beta) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) (/.f64 (fma.f64 i -2 beta) (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (pow.f64 (+.f64 (fma.f64 i -2 beta) alpha) 2) -4)) (+.f64 (fma.f64 i -2 beta) (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 8 (pow.f64 (+.f64 (fma.f64 i -2 beta) alpha) 3))) (+.f64 (pow.f64 (+.f64 (fma.f64 i -2 beta) alpha) 2) (-.f64 4 (*.f64 2 (+.f64 (fma.f64 i -2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 i -2 beta)) 1) (/.f64 (sqrt.f64 (fma.f64 i -2 beta)) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 i -2 beta)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) (/.f64 (sqrt.f64 (fma.f64 i -2 beta)) (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 i -2 beta)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 i -2 beta)) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 i -2 beta)) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) (/.f64 (cbrt.f64 (fma.f64 i -2 beta)) (sqrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 i -2 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2)) (cbrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)) (fma.f64 i -2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 i -2 beta) (-.f64 -2 (+.f64 (fma.f64 i -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 i -2 beta) (+.f64 (+.f64 beta alpha) (fma.f64 i 2 2)))))))))

simplify172.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def`
808×	`+-commutative`
794×	`associate-+r-`
604×	`associate-+r+`
586×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	598	13783
1	1884	13039
2	7940	13037

Stop Event

1×	node limit

Counts

157 → 309

Calls

Call 1

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

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

eval829.0ms (3.6%)

Compiler: Compiled 45111 to 29939 computations (33.6% saved)

prune343.0ms (1.5%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1078	3	1081
Fresh	0	15	15
Picked	1	0	1
Done	0	9	9
Total	1079	27	1106

Error

0.1b

Counts

1106 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	19.2b	(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 alpha (*.f64 2 i)) alpha) -1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
	50.5b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) alpha) (+.f64 (/.f64 (.f64 (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))) (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i))))) (.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta (+.f64 2 (.f64 2 i)))) (/.f64 (.f64 alpha alpha) (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 (/.f64 (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)) (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 beta (+.f64 (.f64 2 i) beta))))) (/.f64 beta (/.f64 (.f64 alpha alpha) (.f64 -1 (-.f64 (+.f64 (.f64 2 i) beta) beta)))))))) 2)
	48.3b	(/.f64 (/.f64 (/.f64 (fma.f64 2 (fma.f64 2 i beta) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) 2)
	48.1b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 4 i) beta) (.f64 -1 (+.f64 beta 2))) alpha) 2)
	51.7b	(/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2)
	60.5b	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
	58.0b	(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
	48.5b	(/.f64 (/.f64 (expm1.f64 (log.f64 (+.f64 3 (*.f64 2 (fma.f64 2 i beta))))) alpha) 2)
	48.1b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2)
	21.3b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
	49.8b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	22.0b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	21.3b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	36.2b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 -2 i)) (+.f64 beta (+.f64 2 (.f64 2 i)))) 1) 2)
✓	14.5b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	13.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	37.8b	(/.f64 (+.f64 (/.f64 (.f64 1/4 (.f64 beta beta)) (*.f64 i i)) 1) 2)
	25.8b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 (+.f64 2 alpha) (.f64 2 i)))) 1) 2)
✓	17.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	29.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	49.1b	(/.f64 (+.f64 (*.f64 -1 (/.f64 i (/.f64 beta 4))) 2) 2)
	50.2b	(/.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) 2)
✓	22.0b	(/.f64 (+.f64 1 (/.f64 (.f64 beta beta) (.f64 (+.f64 (.f64 2 i) beta) (+.f64 beta (+.f64 2 (.f64 2 i)))))) 2)
	24.9b	(/.f64 (+.f64 1 (/.f64 (.f64 beta beta) (.f64 beta (+.f64 beta 2)))) 2)
✓	61.7b	(/.f64 (+.f64 -1 1) 2)
✓	44.4b	(/.f64 2 2)
✓	24.9b	(/.f64 1 2)

Compiler

Compiled 555 to 411 computations (25.9% saved)

regimes324.0ms (1.4%)

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

83.0ms	(*.f64 2 i)
75.0ms	alpha
74.0ms	i
25.0ms	beta
21.0ms	(/.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
4.6b	2	`alpha`
13.6b	1	`beta`
11.8b	3	`i`
0.8b	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)`
0.8b	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)`
0.8b	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))`
11.8b	3	`(*.f64 2 i)`

Compiler

Compiled 1222 to 802 computations (34.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999997	-0.9982279558261657

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes296.0ms (1.3%)

Counts

50 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (exp.f64 (log1p.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)

Calls

7 calls:

73.0ms	(*.f64 2 i)
72.0ms	i
67.0ms	alpha
23.0ms	beta
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
4.6b	2	`alpha`
13.6b	1	`beta`
11.8b	3	`i`
0.8b	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)`
0.8b	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)`
0.8b	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))`
11.8b	3	`(*.f64 2 i)`

Compiler

Compiled 1194 to 786 computations (34.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999997	-0.9982279558261657

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes966.0ms (4.2%)

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

660.0ms	(*.f64 2 i)
102.0ms	(/.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))
69.0ms	alpha
67.0ms	i
23.0ms	beta

Results

Error	Segments	Branch
4.6b	2	`alpha`
13.6b	1	`beta`
11.8b	3	`i`
0.8b	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)`
0.8b	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)`
0.8b	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))`
11.8b	3	`(*.f64 2 i)`

Compiler

Compiled 1167 to 771 computations (33.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999997	-0.9982279558261657

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes240.0ms (1%)

Counts

40 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

58.0ms	i
57.0ms	alpha
57.0ms	(*.f64 2 i)
20.0ms	beta
16.0ms	(/.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
4.6b	2	`alpha`
13.6b	1	`beta`
11.8b	3	`i`
0.8b	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)`
0.8b	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)`
0.8b	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))`
11.8b	3	`(*.f64 2 i)`

Compiler

Compiled 743 to 492 computations (33.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999997	-0.9982279558261657

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes235.0ms (1%)

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

56.0ms	(*.f64 2 i)
55.0ms	i
53.0ms	alpha
19.0ms	beta
16.0ms	(/.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
5.2b	2	`alpha`
14.5b	1	`beta`
12.3b	3	`i`
1.5b	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)`
1.5b	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)`
1.5b	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))`
12.3b	3	`(*.f64 2 i)`

Compiler

Compiled 715 to 478 computations (33.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9982279558261657	-0.025009603163504562

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes226.0ms (1%)

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

53.0ms	(*.f64 2 i)
52.0ms	i
51.0ms	alpha
18.0ms	beta
15.0ms	(/.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
5.2b	2	`alpha`
14.5b	1	`beta`
12.3b	3	`i`
1.5b	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)`
1.5b	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)`
1.5b	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))`
12.3b	3	`(*.f64 2 i)`

Compiler

Compiled 693 to 464 computations (33% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9982279558261657	-0.025009603163504562

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes208.0ms (0.9%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

4 calls:

86.0ms	alpha
49.0ms	(*.f64 2 i)
46.0ms	i
17.0ms	beta

Results

Error	Segments	Branch
5.6b	2	`alpha`
15.1b	1	`beta`
12.9b	3	`i`
12.9b	3	`(*.f64 2 i)`

Compiler

Compiled 494 to 346 computations (30% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

11.0ms	68×	body	256	valid
10.0ms	44×	body	512	valid

Compiler

Compiled 325 to 242 computations (25.5% saved)

regimes144.0ms (0.6%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	(*.f64 2 i)
33.0ms	i
32.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
5.6b	2	`alpha`
15.1b	1	`beta`
12.9b	3	`i`
12.9b	3	`(*.f64 2 i)`

Compiler

Compiled 270 to 200 computations (25.9% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

11.0ms	42×	body	512	valid
11.0ms	70×	body	256	valid

Compiler

Compiled 304 to 235 computations (22.7% saved)

regimes94.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(*.f64 2 i)
27.0ms	i
19.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
9.4b	2	`alpha`
15.1b	1	`beta`
12.9b	3	`i`
12.9b	3	`(*.f64 2 i)`

Compiler

Compiled 205 to 156 computations (23.9% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

10.0ms	68×	body	256	valid
10.0ms	44×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes95.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(*.f64 2 i)
26.0ms	i
18.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
9.4b	2	`alpha`
15.1b	1	`beta`
12.9b	3	`i`
12.9b	3	`(*.f64 2 i)`

Compiler

Compiled 190 to 145 computations (23.7% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

11.0ms	41×	body	512	valid
9.0ms	71×	body	256	valid

Compiler

Compiled 248 to 193 computations (22.2% saved)

regimes58.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	i
15.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
12.2b	2	`alpha`
17.9b	1	`beta`
14.6b	4	`i`

Compiler

Compiled 116 to 90 computations (22.4% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

12.0ms	48×	body	512	valid
9.0ms	64×	body	256	valid

Compiler

Compiled 234 to 179 computations (23.5% saved)

regimes50.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	i
14.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
12.2b	2	`alpha`
17.9b	1	`beta`
14.6b	4	`i`

Compiler

Compiled 92 to 73 computations (20.7% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	4.615428142082701e+60	5.61720311245518e+62

Results

12.0ms	50×	body	512	valid
10.0ms	62×	body	256	valid

Compiler

Compiled 220 to 172 computations (21.8% saved)

regimes39.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	alpha
12.0ms	i
7.0ms	beta

Results

Error	Segments	Branch
15.9b	2	`alpha`
17.9b	1	`beta`
16.5b	2	`i`

Compiler

Compiled 72 to 58 computations (19.4% saved)

bsearch40.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
40.0ms	1.9044564749296811e+176	5.259425248754588e+182

Results

25.0ms	64×	body	1024	valid
8.0ms	60×	body	256	valid
5.0ms	20×	body	512	valid

Compiler

Compiled 254 to 205 computations (19.3% saved)

regimes62.0ms (0.3%)

Accuracy

Total -45.8b remaining (-262.7%)

Threshold costs -45.8b (-262.7%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	alpha
18.0ms	i
15.0ms	beta

Results

Error	Segments	Branch
21.6b	4	`alpha`
17.5b	2	`beta`
23.8b	3	`i`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	1.3678158719445478e+39	2.3774343155105387e+42

Results

17.0ms	106×	body	256	valid
3.0ms	13×	body	512	valid
3.0ms	9×	body	1024	valid

Compiler

Compiled 150 to 137 computations (8.7% saved)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

216×	`distribute-lft-neg-in`
198×	`*-commutative`
164×	`+-commutative`
124×	`neg-sub0`
106×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1801
1	187	1769
2	210	1769
3	226	1769
4	250	1769
5	286	1769
6	340	1769
7	416	1769
8	506	1769
9	574	1769
10	626	1769
11	675	1769
12	726	1769
13	785	1769
14	807	1769
15	811	1769

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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (exp.f64 (log1p.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))
(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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 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))
(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 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.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 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2))
(if (<=.f64 alpha 22999999999999999549527958185682374469306819978055999872303104) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2))
(if (<=.f64 alpha 44000000000000000627529338483176592262972319383580315981185024) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 4 i) beta) (*.f64 -1 (+.f64 beta 2))) alpha) 2))
(if (<=.f64 alpha 519999999999999967972319583654650286587951527928992692472643584) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 37000000000000000268195545050678519665083819581738877278224384) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5799999999999999991894923264221285640046334953776805700435968) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 64999999999999995996539947956831285823493940991124086559080448) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 135000000000000014608528116960841768410613548548060521246967949974881511926599730984754292228788177581794274855100322926803798958943097874249740092943256782694179252007568726286139392) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (*.f64 i 4) alpha) 2))
(if (<=.f64 beta 33999999999999998856806021345479952957440) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.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)))) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.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)))) -8998192055486251/9007199254740992) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 beta (fma.f64 2 i alpha)) (+.f64 alpha beta)) -1) (/.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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (exp.f64 (log1p.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))
(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)))) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (exp.f64 (log1p.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))
(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)))) -8998192055486251/9007199254740992) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (exp.f64 (log1p.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))
(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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (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)))) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.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 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -8998192055486251/9007199254740992) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.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 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -8998192055486251/9007199254740992) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (-.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 -1 (/.f64 (fma.f64 2 i (+.f64 alpha beta)) (-.f64 beta alpha)))) (+.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)) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 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))
(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)))) -8998192055486251/9007199254740992) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.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 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -8998192055486251/9007199254740992) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.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 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) beta)) (+.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)))) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) 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 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -1/2) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (fma.f64 2 i beta) 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 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.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)))) -1/2) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.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 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -1/2) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (.f64 (+.f64 alpha beta) (/.f64 beta (+.f64 beta (.f64 2 i)))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2))
(if (<=.f64 alpha 22999999999999999549527958185682374469306819978055999872303104) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2))
(if (<=.f64 alpha 22999999999999999549527958185682374469306819978055999872303104) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) 2))
(if (<=.f64 alpha 22999999999999999549527958185682374469306819978055999872303104) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (+.f64 (+.f64 (/.f64 beta alpha) (.f64 (/.f64 i alpha) 4)) (/.f64 (+.f64 beta 2) alpha)) 2))
(if (<=.f64 alpha 44000000000000000627529338483176592262972319383580315981185024) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 4 i) beta) (*.f64 -1 (+.f64 beta 2))) alpha) 2))
(if (<=.f64 alpha 44000000000000000627529338483176592262972319383580315981185024) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 i 4)) (neg.f64 (+.f64 beta 2))) alpha) 2))
(if (<=.f64 alpha 44000000000000000627529338483176592262972319383580315981185024) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta (.f64 i 4)) (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 519999999999999967972319583654650286587951527928992692472643584) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 519999999999999967972319583654650286587951527928992692472643584) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 37000000000000000268195545050678519665083819581738877278224384) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i)))) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 37000000000000000268195545050678519665083819581738877278224384) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 (*.f64 2 i))))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 5799999999999999991894923264221285640046334953776805700435968) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 5799999999999999991894923264221285640046334953776805700435968) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 64999999999999995996539947956831285823493940991124086559080448) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 64999999999999995996539947956831285823493940991124086559080448) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 135000000000000014608528116960841768410613548548060521246967949974881511926599730984754292228788177581794274855100322926803798958943097874249740092943256782694179252007568726286139392) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (*.f64 i 4) alpha) 2))
(if (<=.f64 alpha 135000000000000014608528116960841768410613548548060521246967949974881511926599730984754292228788177581794274855100322926803798958943097874249740092943256782694179252007568726286139392) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (*.f64 i 4) alpha) 2))
(if (<=.f64 beta 33999999999999998856806021345479952957440) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 33999999999999998856806021345479952957440) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 670 to 438 computations (34.6% saved)

soundness614.0ms (2.7%)

Algorithm

3×	egg-herbie

Rules

1558×	`associate--l-`
1552×	`distribute-lft-in`
1552×	`distribute-lft-in`
1326×	`associate-/l*`
1326×	`associate-/l*`

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
0	529	15649
1	1459	12293
2	7547	12293
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 733 to 398 computations (45.7% saved)

end282.0ms (1.2%)

Compiler: Compiled 628 to 366 computations (41.7% saved)