Details

analyze193.0ms (0.9%)

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 (12.8%)

Results

1.5s	7012×	body	256	valid
911.0ms	690×	body	1024	valid
241.0ms	497×	body	512	valid
30.0ms	57×	body	2048	valid

Bogosity

preprocess70.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify65.0ms (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

12.8b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(/.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)
▶	13.0b	(/.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)
▶	24.2b	(/.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)
▶	24.2b	(/.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)

localize75.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))
✓	1.6b	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1)
✓	23.9b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i)))))

New

Error

Program

✓

0.0b

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

✓

1.6b

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

✓

23.9b

(/.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)

series29.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(+.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)))))

rewrite174.0ms (0.8%)

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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simplify337.0ms (1.6%)

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)))

localize36.0ms (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))
✓	1.6b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
✓	18.7b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

New

Error

Program

✓

0.1b

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

✓

1.6b

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

✓

18.7b

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

Compiler

Compiled 136 to 58 computations (57.4% saved)

series19.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
1.0ms	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)
1.0ms	alpha	@	0	(/.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))

rewrite155.0ms (0.7%)

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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simplify281.0ms (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))))

localize58.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
✓	1.6b	(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 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))

✓

0.0b

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

✓

1.6b

(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)

series26.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
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)
4.0ms	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)
3.0ms	beta	@	-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	@	-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)

rewrite104.0ms (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 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))

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

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

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

simplify229.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1244×	`+-commutative`
1146×	`associate-+r+`
1090×	`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 → 371

Calls

Call 1

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

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

localize68.0ms (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))))

✓

13.1b

(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)

✓

19.6b

(/.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)

series31.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

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

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

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

Outputs

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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))))))))

simplify500.0ms (2.4%)

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

eval2.5s (11.8%)

Compiler: Compiled 127753 to 80721 computations (36.8% saved)

prune900.0ms (4.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1765	15	1780
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1769	15	1784

Error

0.0b

Counts

1784 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 1) 2)
	48.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
	51.4b	(/.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)
	51.4b	(/.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)
▶	23.2b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	23.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	36.4b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	37.1b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	25.5b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	14.0b	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	24.2b	(/.f64 (+.f64 (/.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))))) 1) 2)
	13.7b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	42.8b	(/.f64 2 2)
▶	25.7b	(/.f64 1 2)

Compiler

Compiled 862 to 646 computations (25.1% saved)

localize54.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

13.1b

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

Compiler

Compiled 143 to 80 computations (44.1% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`associate-+l+`
534×	`+-commutative`
452×	`add-sqr-sqrt`
444×	`pow1`
444×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	153
1	442	153
2	6454	153

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify326.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-r`
1364×	`+-commutative`
1308×	`associate-l`
966×	`associate-+r+`
758×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	972	32545
1	3464	31777

Stop Event

1×	node limit

Counts

225 → 438

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

localize3.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))
✓	1.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)

Compiler

Compiled 51 to 29 computations (43.1% saved)

series24.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
6.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)
1.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-/r*`
1526×	`associate-/l*`
1066×	`associate-/r/`
314×	`+-commutative`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	263	56
2	3980	56

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

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

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def`
658×	`distribute-lft-in`
642×	`+-commutative`
630×	`*-commutative`
588×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	11948
1	1942	11370

Stop Event

1×	node limit

Counts

182 → 328

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.4b	(/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha)))
✓	4.9b	(/.f64 (*.f64 i i) (-.f64 beta alpha))

Compiler

Compiled 75 to 27 computations (64% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	(/.f64 (*.f64 i i) (-.f64 beta alpha))
1.0ms	i	@	0	(/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha)))
1.0ms	beta	@	0	(/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha)))
0.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha)))
0.0ms	i	@	inf	(/.f64 (*.f64 i i) (-.f64 beta alpha))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`associate-/l/`
1152×	`distribute-rgt-in`
1106×	`distribute-lft-in`
282×	`add-sqr-sqrt`
276×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	273	56
2	4144	56

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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i))))))))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-l`
774×	`associate-r`
736×	`associate-+r+`
666×	`associate-+l+`
626×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	9384
1	1320	8828
2	6087	8634

Stop Event

1×	node limit

Counts

212 → 228

Calls

Call 1

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

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

localize47.0ms (0.2%)

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))

✓

13.6b

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

Compiler

Compiled 110 to 60 computations (45.5% saved)

series21.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	beta	@	inf	(/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i)))
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	i	@	-inf	(/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

rewrite146.0ms (0.7%)

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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 2 i 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 (*.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.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 (/.f64 1 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 2 i beta) (+.f64 beta 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simplify205.0ms (1%)

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

eval2.0s (9.6%)

Compiler: Compiled 77629 to 50345 computations (35.1% saved)

prune529.0ms (2.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1557	13	1570
Fresh	3	7	10
Picked	0	1	1
Done	2	2	4
Total	1562	23	1585

Error

0.0b

Counts

1585 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	23.5b	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1) 2)
▶	48.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha) 2)
▶	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	54.2b	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2)
	51.4b	(/.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)
	51.4b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 i alpha)) (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 2))))))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) alpha))) 2)
	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	23.2b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	31.9b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 beta beta)) i) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	23.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	37.0b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	30.5b	(/.f64 (+.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 beta beta) (.f64 (.f64 i i) 4))) (.f64 (.f64 beta beta) (-.f64 beta (.f64 2 i)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	35.7b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 beta beta) 1/4) (*.f64 i i)) 1) 2)
	25.5b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	18.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2)
	19.8b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	23.5b	(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
	31.9b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) 1) 2)
	49.0b	(/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) beta)) 2) 2)
▶	13.7b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
▶	42.8b	(/.f64 2 2)
✓	25.7b	(/.f64 1 2)

Compiler

Compiled 1080 to 819 computations (24.2% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 62 computations (34.7% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`associate-/l/`
1482×	`distribute-lft-in`
434×	`associate-+l+`
356×	`add-sqr-sqrt`
348×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	140
1	340	124
2	5100	124

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-r`
976×	`associate-l`
906×	`*-commutative`
814×	`associate-/r*`
730×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	682	16026
1	2227	15716

Stop Event

1×	node limit

Counts

268 → 397

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

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

localize82.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
✓	4.1b	(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

Compiler

Compiled 64 to 40 computations (37.5% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 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simplify220.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	988	22689
1	3165	22191

Stop Event

1×	node limit

Counts

339 → 626

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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)
0.0ms	alpha	@	inf	(/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i))))) alpha)
0.0ms	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)
0.0ms	beta	@	0	(-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.f64 2 i)))))

rewrite121.0ms (0.6%)

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

Outputs

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

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate--l-`
1134×	`associate-+r+`
888×	`fma-def`
802×	`+-commutative`
514×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	15649
1	1464	12293
2	7482	12293

Stop Event

1×	node limit

Counts

259 → 335

Calls

Call 1

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

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

eval1.2s (5.8%)

Compiler: Compiled 47406 to 32232 computations (32% saved)

prune492.0ms (2.3%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1394	8	1402
Fresh	6	9	15
Picked	1	0	1
Done	1	6	7
Total	1402	23	1425

Error

0.0b

Counts

1425 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.5b	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1) 2)
	48.9b	(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (fma.f64 2 i beta) (+.f64 beta (fma.f64 2 i 2))))) alpha) 2)
	59.5b	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	57.7b	(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
▶	54.6b	(/.f64 (/.f64 2 alpha) 2)
	54.2b	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2)
	51.4b	(/.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)
	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	23.2b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	31.9b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 beta beta)) i) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	23.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	37.0b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	35.7b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 beta beta) 1/4) (*.f64 i i)) 1) 2)
▶	48.9b	(/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2)
▶	19.8b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
▶	46.2b	(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
	31.9b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) 1) 2)
	48.8b	(/.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta))) 2)
✓	13.7b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
✓	42.8b	(/.f64 2 2)
✓	25.7b	(/.f64 1 2)

Compiler

Compiled 825 to 628 computations (23.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 133

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 beta) (-.f64 beta alpha))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2276	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-+r+`
1136×	`associate-r`
908×	`times-frac`
904×	`associate-l`
810×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	992
1	308	992
2	1066	992
3	7096	992

Stop Event

1×	node limit

Counts

62 → 47

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 59 to 32 computations (45.8% saved)

series18.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	beta	@	-inf	(+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
1.0ms	alpha	@	0	(+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
1.0ms	i	@	0	(+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
1.0ms	beta	@	0	(+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))
0.0ms	i	@	inf	(/.f64 i (/.f64 alpha 4))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`distribute-lft-in`
1276×	`associate-/r/`
796×	`associate-/l/`
326×	`add-sqr-sqrt`
318×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	313	57
2	4920	57

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

Outputs

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

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(/.f64 i alpha) 4 (/.f64 (fma.f64 2 beta 2) alpha))))))

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-r`
858×	`*-commutative`
816×	`associate-l`
612×	`associate-/r*`
596×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	578	11221
1	1805	10027

Stop Event

1×	node limit

Counts

281 → 307

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

18.3b

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

Compiler

Compiled 81 to 37 computations (54.3% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	inf	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1)
2.0ms	alpha	@	-inf	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1)
2.0ms	alpha	@	0	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1)
2.0ms	beta	@	0	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1)
1.0ms	beta	@	-inf	(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`distribute-lft-neg-in`
706×	`distribute-rgt-neg-in`
404×	`associate-+l+`
362×	`+-commutative`
348×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	113
1	327	113
2	5091	113

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-r`
1106×	`associate-l`
950×	`+-commutative`
904×	`distribute-lft-in`
886×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	777	18498
1	2549	18236

Stop Event

1×	node limit

Counts

208 → 372

Calls

Call 1

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

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

eval498.0ms (2.3%)

Compiler: Compiled 30616 to 20040 computations (34.5% saved)

prune212.0ms (1%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	852	7	859
Fresh	1	11	12
Picked	0	1	1
Done	2	8	10
Total	855	27	882

Error

0.0b

Counts

882 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.5b	(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha beta)) (+.f64 alpha beta) 1) 2)
	59.5b	(/.f64 (/.f64 (+.f64 beta beta) alpha) 2)
✓	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	57.7b	(/.f64 (/.f64 (*.f64 i 4) alpha) 2)
✓	54.6b	(/.f64 (/.f64 2 alpha) 2)
	54.2b	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2)
	51.4b	(/.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)
	47.3b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	23.2b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	31.9b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 1/2 (.f64 beta beta)) i) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	23.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	37.0b	(/.f64 (+.f64 (/.f64 (+.f64 beta (.f64 i -2)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	35.7b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 beta beta) 1/4) (*.f64 i i)) 1) 2)
	50.8b	(/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2)
	53.8b	(/.f64 (+.f64 (/.f64 beta (/.f64 (.f64 alpha alpha) (-.f64 beta (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (+.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (/.f64 (.f64 alpha alpha) (-.f64 beta (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (+.f64 beta (neg.f64 (-.f64 beta (-.f64 (neg.f64 beta) (+.f64 2 beta))))) alpha)))) 2)
✓	19.8b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	23.6b	(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
	46.2b	(/.f64 (+.f64 (-.f64 1 (/.f64 alpha beta)) 1) 2)
	31.9b	(/.f64 (+.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 beta beta) i) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) 1) 2)
	34.1b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	49.4b	(/.f64 (+.f64 (exp.f64 (log.f64 (*.f64 i (/.f64 4 alpha)))) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2)
	48.8b	(/.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta))) 2)
	47.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (-.f64 -2 alpha)) beta))) 2)
✓	13.7b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
✓	42.8b	(/.f64 2 2)
✓	25.7b	(/.f64 1 2)

Compiler

Compiled 548 to 411 computations (25% saved)

regimes302.0ms (1.4%)

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

78.0ms	alpha
58.0ms	i
57.0ms	(*.f64 2 i)
56.0ms	beta
17.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.6b	4	`alpha`
11.6b	3	`beta`
11.8b	3	`i`
0.9b	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)`
0.9b	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)`
0.9b	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 1042 to 682 computations (34.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999751	-2.9540612572407104e-5

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes287.0ms (1.4%)

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

73.0ms	alpha
56.0ms	i
55.0ms	(*.f64 2 i)
52.0ms	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
5.7b	4	`alpha`
11.6b	3	`beta`
11.8b	3	`i`
0.9b	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)`
0.9b	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)`
0.9b	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 931 to 606 computations (34.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999751	-2.9540612572407104e-5

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes2.0s (9.3%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

7 calls:

1.3s	(*.f64 2 i)
196.0ms	i
190.0ms	beta
115.0ms	alpha
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))

Results

Error	Segments	Branch
5.7b	4	`alpha`
12.3b	3	`beta`
12.4b	3	`i`
1.4b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
1.4b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
1.4b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
12.4b	3	`(*.f64 2 i)`

Compiler

Compiled 879 to 578 computations (34.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999751	-2.9540612572407104e-5

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes289.0ms (1.4%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

7 calls:

85.0ms	(*.f64 2 i)
70.0ms	alpha
48.0ms	beta
44.0ms	i
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
6.0b	4	`alpha`
12.6b	3	`beta`
12.6b	3	`i`
1.7b	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)`
1.7b	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)`
1.7b	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))`
12.6b	3	`(*.f64 2 i)`

Compiler

Compiled 659 to 432 computations (34.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999751	-2.9540612572407104e-5

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes108.0ms (0.5%)

Counts

23 → 2

Calls

Call 1

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

Calls

4 calls:

60.0ms	beta
20.0ms	alpha
11.0ms	(*.f64 2 i)
11.0ms	i

Results

Error	Segments	Branch
9.0b	2	`alpha`
12.6b	3	`beta`
14.0b	1	`i`
14.0b	1	`(*.f64 2 i)`

Compiler

Compiled 245 to 185 computations (24.5% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	8.393519956200175e+166	1.095123125035358e+168

Results

13.0ms	39×	body	1024	valid
9.0ms	48×	body	256	valid
2.0ms	9×	body	512	valid

Compiler

Compiled 242 to 187 computations (22.7% saved)

regimes139.0ms (0.7%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	alpha
47.0ms	beta
19.0ms	i

Results

Error	Segments	Branch
13.8b	2	`alpha`
15.7b	4	`beta`
15.1b	2	`i`

Compiler

Compiled 224 to 169 computations (24.6% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	8.393519956200175e+166	1.095123125035358e+168

Results

14.0ms	31×	body	1024	valid
8.0ms	58×	body	256	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 218 to 169 computations (22.5% saved)

regimes81.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	beta
17.0ms	i
16.0ms	alpha

Results

Error	Segments	Branch
15.0b	2	`alpha`
17.6b	2	`beta`
15.1b	2	`i`

Compiler

Compiled 117 to 92 computations (21.4% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	1.0023445475106644e+158	1.7793783992270162e+165

Results

20.0ms	48×	body	1024	valid
11.0ms	81×	body	256	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 290 to 232 computations (20% saved)

regimes60.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	beta
20.0ms	alpha
16.0ms	i

Results

Error	Segments	Branch
15.9b	2	`alpha`
17.6b	2	`beta`
15.4b	2	`i`

Compiler

Compiled 106 to 84 computations (20.8% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	3.924115970955005e+136	2.69410454511951e+139

Results

19.0ms	115×	body	256	valid
3.0ms	11×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 198 to 169 computations (14.6% saved)

regimes66.0ms (0.3%)

Accuracy

Total -45.7b remaining (-259.2%)

Threshold costs -45.7b (-259.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	alpha
21.0ms	beta
20.0ms	i

Results

Error	Segments	Branch
21.4b	4	`alpha`
17.6b	2	`beta`
24.0b	2	`i`

Compiler

Compiled 68 to 55 computations (19.1% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	5.691078716949989e+118	4.2631161430091e+123

Results

17.0ms	131×	body	256	valid
7.0ms	6×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 164 to 151 computations (7.9% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative`
10×	`*-commutative`
4×	`sub-neg`
2×	`*-rgt-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1008
1	125	1008
2	129	1008
3	131	1008
4	132	1008

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)) -1/2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2))
(if (<=.f64 alpha 92000000000000003028284977179212625854939535879626539483407195836200833417846704361200192989431787934748076058489437483818151645964160466642552406242077293276104228864) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 150000000000000005791349143112927160419103077237025658431635744352866086524739114005296087631814755515333626354294732545586990934305062763234750196060445948601090179072) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 6099999999999999992997058990176298526034593263923128356024823032792944921593936102550729798796724590043377360861797661570783604944512210085552939487443072057344) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 i 63999999999999997557100213876156151260751061521714249692505863901126425859561964203276269450534051863596946533154052549843920728553947136) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 2))
(if (<=.f64 beta 126000000000000000490653945258638207879471879389012183087261235574046299148641371103899743667315358001001136429855670272) (/.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)) -1/2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(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 i (/.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 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 i (/.f64 alpha 4)) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 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 i (/.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 alpha 92000000000000003028284977179212625854939535879626539483407195836200833417846704361200192989431787934748076058489437483818151645964160466642552406242077293276104228864) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 92000000000000003028284977179212625854939535879626539483407195836200833417846704361200192989431787934748076058489437483818151645964160466642552406242077293276104228864) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 150000000000000005791349143112927160419103077237025658431635744352866086524739114005296087631814755515333626354294732545586990934305062763234750196060445948601090179072) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 150000000000000005791349143112927160419103077237025658431635744352866086524739114005296087631814755515333626354294732545586990934305062763234750196060445948601090179072) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 (/.f64 i (/.f64 alpha 4)) (/.f64 2 alpha)) 2))
(if (<=.f64 alpha 6099999999999999992997058990176298526034593263923128356024823032792944921593936102550729798796724590043377360861797661570783604944512210085552939487443072057344) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 6099999999999999992997058990176298526034593263923128356024823032792944921593936102550729798796724590043377360861797661570783604944512210085552939487443072057344) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 i 63999999999999997557100213876156151260751061521714249692505863901126425859561964203276269450534051863596946533154052549843920728553947136) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 1 2))
(if (<=.f64 i 63999999999999997557100213876156151260751061521714249692505863901126425859561964203276269450534051863596946533154052549843920728553947136) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) 1/2)
(if (<=.f64 beta 126000000000000000490653945258638207879471879389012183087261235574046299148641371103899743667315358001001136429855670272) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 126000000000000000490653945258638207879471879389012183087261235574046299148641371103899743667315358001001136429855670272) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 390 to 262 computations (32.8% saved)

soundness358.0ms (1.7%)

Algorithm

4×	egg-herbie

Rules

1608×	`associate--l-`
1552×	`distribute-lft-in`
1552×	`distribute-lft-in`
1484×	`associate-r`
1346×	`+-commutative`

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	1464	12293
2	7482	12293
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73
0	940	33808
1	3440	33184

Stop Event

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

Compiler

Compiled 674 to 397 computations (41.1% saved)

end145.0ms (0.7%)

Compiler: Compiled 363 to 222 computations (38.8% saved)