Details

analyze168.0ms (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)

sample3.0s (16.1%)

Results

2.2s	7014×	body	256	valid
610.0ms	647×	body	1024	valid
141.0ms	551×	body	512	valid
21.0ms	44×	body	2048	valid

Bogosity

preprocess70.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify71.0ms (0.4%)

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

12.0b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.4b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1) 2)
▶	12.1b	(/.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)
▶	21.9b	(/.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)
▶	21.9b	(/.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)

localize42.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))
✓	2.4b	(+.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)
✓	20.8b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i)))))

New

Error

Program

✓

0.0b

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

✓

2.4b

(+.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)

✓

20.8b

(/.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 (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite181.0ms (1%)

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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simplify297.0ms (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)))

localize80.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	2.4b	(+.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)
✓	18.1b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

New

Error

Program

✓

0.1b

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

✓

2.4b

(+.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)

✓

18.1b

(/.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
4.0ms	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)
2.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
1.0ms	alpha	@	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	beta	@	0	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

rewrite117.0ms (0.6%)

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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simplify342.0ms (1.9%)

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))))

localize45.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
✓	2.4b	(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)

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

2.4b

(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)

Compiler

Compiled 114 to 60 computations (47.4% saved)

series33.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	i	@	-inf	(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)
4.0ms	beta	@	0	(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)
4.0ms	i	@	0	(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)
2.0ms	alpha	@	-inf	(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)
2.0ms	alpha	@	0	(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)

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`associate-+l+`
524×	`+-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	6305	127

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

(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)

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

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

Outputs

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

simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1226×	`+-commutative`
1184×	`associate-+r+`
1068×	`associate-r`
878×	`*-commutative`
868×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	21927
1	2845	21501

Stop Event

1×	node limit

Counts

205 → 385

Calls

Call 1

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

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

localize77.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

12.3b

(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)

✓

14.5b

(/.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)

series287.0ms (1.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	i	@	0	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
3.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
2.0ms	alpha	@	inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
2.0ms	beta	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
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)

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify237.0ms (1.3%)

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

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

eval2.3s (12.8%)

Compiler: Compiled 128817 to 81377 computations (36.8% saved)

prune770.0ms (4.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1780	14	1794
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1784	14	1798

Error

0.0b

Counts

1798 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 2)
	49.8b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2)
	49.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
	52.6b	(/.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 (.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 (.f64 -1 (/.f64 (.f64 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 3))) (.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 3)))))))) (.f64 -1 (/.f64 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))) alpha))) 2)
	52.0b	(/.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)
▶	12.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	17.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	32.9b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	26.0b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta alpha))) 1) 2)
▶	31.8b	(/.f64 (+.f64 (/.f64 (.f64 1/2 (/.f64 (+.f64 beta alpha) (/.f64 i (-.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	22.9b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	61.8b	(/.f64 (+.f64 -1 1) 2)
	43.7b	(/.f64 2 2)
▶	23.2b	(/.f64 1 2)

Compiler

Compiled 1214 to 910 computations (25% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	2.4b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

Compiler

Compiled 78 to 41 computations (47.4% saved)

series17.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	i	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
3.0ms	i	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

rewrite132.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`associate-/l*`
584×	`associate-+l+`
448×	`+-commutative`
358×	`add-sqr-sqrt`
350×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	333	72
2	5105	72

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

simplify190.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+r-`
770×	`fma-def`
750×	`+-commutative`
512×	`times-frac`
478×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	12588
1	1711	11962
2	7429	11952

Stop Event

1×	node limit

Counts

158 → 301

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize64.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha)))
✓	1.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1)

Compiler

Compiled 51 to 29 computations (43.1% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (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)))))))))

simplify101.0ms (0.5%)

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

localize63.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

1.9b

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

✓

23.7b

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

Compiler

Compiled 97 to 39 computations (59.8% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite120.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`distribute-lft-neg-in`
460×	`associate-+l+`
428×	`+-commutative`
412×	`associate-+r+`
372×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	129
1	367	81
2	5858	81

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta beta) (+.f64 (*.f64 beta (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha beta) (+.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha beta) (+.f64 (*.f64 (+.f64 alpha 2) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 (+.f64 beta 2) (+.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 (*.f64 alpha beta) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha 2)) (+.f64 (*.f64 alpha beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) alpha) (*.f64 (+.f64 alpha beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 2)) (*.f64 (+.f64 alpha beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta 2)) (*.f64 (+.f64 alpha beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

700×	`+-commutative`
684×	`associate-r`
672×	`distribute-lft-in`
624×	`associate-l`
622×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	13307
1	2064	12025

Stop Event

1×	node limit

Counts

247 → 397

Calls

Call 1

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

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

localize57.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(/.f64 i (-.f64 beta alpha))

✓

0.2b

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

✓

7.1b

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

Compiler

Compiled 131 to 53 computations (59.5% saved)

series20.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

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

rewrite153.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`associate-+l+`
442×	`+-commutative`
420×	`add-sqr-sqrt`
410×	`pow1`
410×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	413	95
2	6356	95

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs

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

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

(/.f64 i (-.f64 beta alpha))

Outputs

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

812×	`associate-r`
798×	`*-commutative`
756×	`associate-/l*`
660×	`associate-l`
620×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	13521
1	1912	12099

Stop Event

1×	node limit

Counts

223 → 298

Calls

Call 1

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

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

eval1.0s (5.5%)

Compiler: Compiled 48175 to 30050 computations (37.6% saved)

prune590.0ms (3.2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1314	10	1324
Fresh	3	6	9
Picked	1	0	1
Done	1	3	4
Total	1319	19	1338

Error

0.0b

Counts

1338 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 2)
	49.8b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2)
	49.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
	52.8b	(/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)
	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2)
▶	53.8b	(/.f64 (-.f64 (/.f64 (.f64 1 (+.f64 beta (+.f64 beta 2))) alpha) (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) 2)
▶	49.5b	(/.f64 (-.f64 2 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta)) 2)
	26.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	12.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	17.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	32.9b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
▶	16.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	53.9b	(/.f64 (+.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
▶	35.9b	(/.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))) 1) 2)
	50.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 alpha i))) beta))) 2)
	61.8b	(/.f64 (+.f64 -1 1) 2)
	52.7b	(/.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta (+.f64 2 (*.f64 2 i)))) alpha)) 2)
▶	43.7b	(/.f64 2 2)
✓	23.2b	(/.f64 1 2)

Compiler

Compiled 782 to 589 computations (24.7% saved)

localize12.0ms (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)

rewrite65.0ms (0.4%)

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)))))

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 133

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 42 to 32 computations (23.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*r/`
1090×	`associate-/r*`
1014×	`associate-*l/`
960×	`associate-/l*`
846×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	191	19
2	2486	19

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-*r/`
710×	`associate-/l*`
600×	`associate-*l/`
510×	`associate-+r+`
456×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	143	2130
1	350	1586
2	1228	1586
3	5056	1586

Stop Event

1×	node limit

Counts

84 → 79

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) i)
✓	0.0b	(/.f64 (+.f64 alpha beta) i)
✓	0.2b	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))

Compiler

Compiled 81 to 23 computations (71.6% saved)

series65.0ms (0.4%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
58.0ms	alpha	@	0	(/.f64 (+.f64 alpha beta) i)
0.0ms	alpha	@	0	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
0.0ms	i	@	0	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
0.0ms	beta	@	-inf	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))
0.0ms	beta	@	0	(*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (-.f64 beta alpha) i))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`associate-/l/`
1248×	`distribute-lft-in`
1104×	`associate-/r/`
254×	`add-sqr-sqrt`
252×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	235	57
2	3792	57

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-/r*`
1432×	`associate-r`
1076×	`*-commutative`
700×	`distribute-lft-in`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	13617
1	2267	13247

Stop Event

1×	node limit

Counts

341 → 404

Calls

Call 1

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

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

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 2) alpha)
✓	0.0b	(+.f64 beta (+.f64 beta 2))
✓	0.2b	(*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
✓	1.8b	(-.f64 (/.f64 (.f64 1 (+.f64 beta (+.f64 beta 2))) alpha) (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)))

Compiler

Compiled 104 to 68 computations (34.6% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite197.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-/l/`
1190×	`associate-/r/`
330×	`associate-+l+`
306×	`add-sqr-sqrt`
300×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	124
1	315	106
2	4583	106

Stop Event

1×	node limit

Counts

4 → 360

Calls

Call 1

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

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

simplify326.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1826×	`associate-/l*`
1314×	`distribute-lft-in`
992×	`associate-*r/`
890×	`associate-*l/`
782×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	957	32228
1	3235	30724

Stop Event

1×	node limit

Counts

432 → 614

Calls

Call 1

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

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

eval864.0ms (4.7%)

Compiler: Compiled 43720 to 26502 computations (39.4% saved)

prune765.0ms (4.2%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1322	10	1332
Fresh	1	10	11
Picked	1	0	1
Done	2	5	7
Total	1326	25	1351

Error

0.0b

Counts

1351 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 2)
	49.8b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2)
	49.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
	60.5b	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 beta (+.f64 beta 2)) (.f64 alpha alpha)) (.f64 alpha (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3)) 2)
▶	52.8b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)
	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2)
	53.9b	(/.f64 (-.f64 (/.f64 (.f64 1 (+.f64 beta (+.f64 beta 2))) alpha) (-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha))))) 1)) 2)
	55.1b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	46.8b	(/.f64 (-.f64 2 (/.f64 alpha (/.f64 beta 2))) 2)
	49.2b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	26.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	12.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	17.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
▶	32.9b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
✓	16.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	53.9b	(/.f64 (+.f64 (-.f64 (.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha))) 2)
	28.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	31.9b	(/.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 alpha i) (/.f64 (neg.f64 alpha) i))) 1) 2)
	50.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 alpha i))) beta))) 2)
▶	61.8b	(/.f64 (+.f64 -1 1) 2)
	53.8b	(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	52.7b	(/.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta (+.f64 2 (*.f64 2 i)))) alpha)) 2)
	54.9b	(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))))) 2)
✓	43.7b	(/.f64 2 2)
✓	23.2b	(/.f64 1 2)

Compiler

Compiled 974 to 737 computations (24.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2431	19

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1656×	`associate-/l*`
1182×	`associate-/r*`
1094×	`distribute-lft-in`
1062×	`associate-*r/`
740×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	5000
1	647	4824
2	2504	4788

Stop Event

1×	node limit

Counts

80 → 134

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (.f64 -1/2 alpha) (.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha))))
(+.f64 (fma.f64 -1/2 alpha 1) (.f64 alpha (.f64 alpha 1/4)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha)))))
(+.f64 (fma.f64 -1/2 alpha (.f64 1/4 (.f64 alpha alpha))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (.f64 alpha (.f64 alpha 1/4))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 4))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) -1)) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) 1))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (.f64 alpha (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 alpha 2)))) (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series17.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	beta	@	0	(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
0.0ms	alpha	@	inf	(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
0.0ms	alpha	@	0	(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
0.0ms	beta	@	inf	(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
0.0ms	beta	@	-inf	(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`associate-*r/`
1034×	`associate-*l/`
870×	`associate-/r*`
826×	`*-commutative`
658×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	185	15
2	2713	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (/.f64 1 alpha) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) 0) (/.f64 2 alpha))))) (#(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) (+.f64 beta 2)) (*.f64 (/.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 alpha)) (/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) alpha) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) alpha) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) alpha) (/.f64 (cbrt.f64 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) 1) (/.f64 (cbrt.f64 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 4) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) alpha) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (cbrt.f64 4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 alpha) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 alpha) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 alpha) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 alpha) 64) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 alpha 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 alpha)))))))

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-+r+`
952×	`associate-+l+`
944×	`associate-r`
940×	`associate-l`
728×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1099
1	269	1099
2	670	961
3	1739	961
4	6353	961

Stop Event

1×	node limit

Counts

73 → 62

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 alpha i) (/.f64 (neg.f64 alpha) i))

Compiler

Compiled 61 to 22 computations (63.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`add-sqr-sqrt`
1550×	`*-un-lft-identity`
1442×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	195	13
2	2898	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(*.f64 (/.f64 alpha i) (/.f64 (neg.f64 alpha) i))

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-r`
838×	`associate-l`
698×	`associate-+l+`
686×	`distribute-lft-neg-in`
660×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	878
1	184	878
2	846	878
3	4984	878

Stop Event

1×	node limit

Counts

58 → 35

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 2 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

3.5b

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

Compiler

Compiled 101 to 56 computations (44.6% saved)

series15.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`associate-+l+`
542×	`+-commutative`
470×	`associate-+r+`
430×	`add-sqr-sqrt`
418×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	402	88
2	6233	88

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1)) (/.f64 1 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))) (/.f64 (+.f64 alpha (*.f64 -2 i)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)) (sqrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) (-.f64 1 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1) (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) (-.f64 1 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))))) (+.f64 1 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) -1) (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 3)) (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) (-.f64 1 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2)) (-.f64 1 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) -1)) (neg.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 2) (-.f64 1 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (fma.f64 -2 i (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 i 2 2)))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 -2 i 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simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1194×	`+-commutative`
942×	`associate-+r+`
682×	`associate-+l+`
626×	`*-commutative`
620×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	727	16830
1	2402	16020

Stop Event

1×	node limit

Counts

144 → 316

Calls

Call 1

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

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

eval964.0ms (5.2%)

Compiler: Compiled 22119 to 15708 computations (29% saved)

prune214.0ms (1.2%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	542	5	547
Fresh	4	11	15
Picked	1	0	1
Done	1	8	9
Total	548	24	572

Error

0.0b

Counts

572 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(/.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 2)
	49.8b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2)
	49.9b	(/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (*.f64 2 i)))) alpha) 2)
✓	52.8b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)
	52.7b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2)
	60.4b	(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
	54.0b	(/.f64 (/.f64 2 alpha) 2)
	55.1b	(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
	46.8b	(/.f64 (-.f64 2 (/.f64 alpha (/.f64 beta 2))) 2)
	49.2b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	26.3b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	12.4b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
✓	17.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
✓	16.2b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	54.8b	(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
	28.9b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	31.9b	(/.f64 (+.f64 (.f64 1/4 (.f64 (/.f64 alpha i) (/.f64 (neg.f64 alpha) i))) 1) 2)
	50.5b	(/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4 i) (+.f64 2 alpha)) (*.f64 -1 alpha)) beta))) 2)
	50.5b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 alpha i))) beta))) 2)
	27.3b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
	53.8b	(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) 2)
	52.7b	(/.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (+.f64 beta (+.f64 2 (*.f64 2 i)))) alpha)) 2)
✓	43.7b	(/.f64 2 2)
✓	23.2b	(/.f64 1 2)

Compiler

Compiled 422 to 327 computations (22.5% saved)

regimes270.0ms (1.5%)

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

Outputs

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

Calls

7 calls:

61.0ms	beta
59.0ms	i
39.0ms	alpha
22.0ms	(*.f64 2 i)
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
5.3b	2	`alpha`
10.9b	3	`beta`
12.1b	1	`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))`
12.1b	1	`(*.f64 2 i)`

Compiler

Compiled 1158 to 797 computations (31.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999973433299663	-5.5426979486604555e-12

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes308.0ms (1.7%)

Counts

42 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

113.0ms	beta
74.0ms	alpha
43.0ms	i
22.0ms	(*.f64 2 i)
17.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.3b	2	`alpha`
10.9b	3	`beta`
12.1b	1	`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))`
12.1b	1	`(*.f64 2 i)`

Compiler

Compiled 1073 to 745 computations (30.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999995372198	-0.9999973433299663

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes251.0ms (1.4%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

7 calls:

108.0ms	alpha
50.0ms	beta
26.0ms	(/.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))
18.0ms	(*.f64 2 i)
18.0ms	i

Results

Error	Segments	Branch
5.4b	2	`alpha`
11.2b	3	`beta`
12.4b	1	`i`
1.0b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
1.0b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
1.0b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
12.4b	1	`(*.f64 2 i)`

Compiler

Compiled 750 to 513 computations (31.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.999999995372198	-0.9999973433299663

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes101.0ms (0.5%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	beta
26.0ms	alpha
15.0ms	(*.f64 2 i)
14.0ms	i

Results

Error	Segments	Branch
5.4b	2	`alpha`
11.2b	3	`beta`
12.4b	1	`i`
12.4b	1	`(*.f64 2 i)`

Compiler

Compiled 348 to 252 computations (27.6% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	3.874759218986068e+57	1.2793590180943157e+60

Results

15.0ms	117×	body	256	valid
7.0ms	11×	body	512	valid

Compiler

Compiled 390 to 297 computations (23.8% saved)

regimes92.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	beta
26.0ms	alpha
13.0ms	(*.f64 2 i)
12.0ms	i

Results

Error	Segments	Branch
8.0b	2	`alpha`
12.4b	1	`beta`
12.4b	1	`i`
12.4b	1	`(*.f64 2 i)`

Compiler

Compiled 287 to 214 computations (25.4% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	4.877701056452441e+86	2.6706852233388374e+88

Results

14.0ms	58×	body	512	valid
8.0ms	54×	body	256	valid

Compiler

Compiled 290 to 221 computations (23.8% saved)

regimes121.0ms (0.7%)

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

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

Calls

4 calls:

42.0ms	beta
30.0ms	alpha
21.0ms	(*.f64 2 i)
21.0ms	i

Results

Error	Segments	Branch
11.6b	2	`alpha`
16.2b	1	`beta`
13.9b	2	`i`
13.9b	2	`(*.f64 2 i)`

Compiler

Compiled 251 to 189 computations (24.7% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	36884439887.831894	642228179393145.5

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 294 to 225 computations (23.5% saved)

regimes50.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	i
15.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
11.7b	2	`alpha`
16.2b	1	`beta`
14.1b	2	`i`

Compiler

Compiled 137 to 109 computations (20.4% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	36884439887.831894	642228179393145.5

Results

20.0ms

128×

body

256

valid

Compiler

Compiled 262 to 209 computations (20.2% saved)

regimes57.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	i
20.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
12.1b	2	`alpha`
16.2b	1	`beta`
14.1b	2	`i`

Compiler

Compiled 126 to 101 computations (19.8% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	36884439887.831894	642228179393145.5

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 246 to 201 computations (18.3% saved)

regimes57.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	i
16.0ms	alpha
14.0ms	beta

Results

Error	Segments	Branch
13.3b	2	`alpha`
16.2b	1	`beta`
14.1b	2	`i`

Compiler

Compiled 86 to 71 computations (17.4% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	4.877701056452441e+86	2.6706852233388374e+88

Results

17.0ms	50×	body	512	valid
8.0ms	62×	body	256	valid

Compiler

Compiled 192 to 158 computations (17.7% saved)

regimes45.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	beta
12.0ms	alpha
5.0ms	i

Results

Error	Segments	Branch
18.6b	2	`alpha`
16.1b	2	`beta`
23.2b	1	`i`

Compiler

Compiled 59 to 50 computations (15.3% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.022876013433009	5889.03430849068

Results

15.0ms	107×	body	256	valid
4.0ms	12×	body	1024	valid
2.0ms	9×	body	512	valid

Compiler

Compiled 182 to 161 computations (11.5% saved)

regimes32.0ms (0.2%)

Accuracy

Total -46.7b remaining (-288.7%)

Threshold costs -46.7b (-288.7%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	beta
10.0ms	alpha
6.0ms	i

Results

Error	Segments	Branch
18.6b	2	`alpha`
16.2b	2	`beta`
23.2b	1	`i`

Compiler

Compiled 45 to 39 computations (13.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2.4570803805296924e+84	1.6366618171697114e+86

Results

14.0ms	100×	body	256	valid
3.0ms	8×	body	1024	valid
1.0ms	4×	body	512	valid

Compiler

Compiled 136 to 123 computations (9.6% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

170×	`+-commutative`
166×	`*-commutative`
132×	`distribute-lft-neg-in`
96×	`neg-sub0`
80×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1274
1	187	1254
2	234	1254
3	289	1254
4	361	1254
5	426	1254
6	485	1254
7	549	1254
8	607	1254
9	654	1254
10	679	1254
11	689	1254
12	691	1254

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 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2))
(if (<=.f64 alpha 820000000000000001314881724779491902658767992515850351411200) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (.f64 2 i)))) alpha) 2))
(if (<=.f64 alpha 1749999999999999928979267798613134780110993156884790019422043267161731865164170244653056) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 (+.f64 i beta))) alpha) 2))
(if (<=.f64 alpha 215000000000000) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2))
(if (<=.f64 alpha 3600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2))
(if (<=.f64 alpha 4500000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 5800) (/.f64 1 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 20499999999999998919579982870722139647934708795820338224989726702903514434643693666304) (/.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 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (.f64 1 (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 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))
(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 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (-.f64 beta (+.f64 2 (fma.f64 2 i beta)))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 2 (fma.f64 2 i beta))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (-.f64 beta (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 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))
(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 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (+.f64 beta (-.f64 -2 (fma.f64 2 i beta)))) (fma.f64 2 i beta)) alpha) (+.f64 (/.f64 (+.f64 beta (-.f64 -2 (fma.f64 2 i beta))) (/.f64 alpha (/.f64 (+.f64 2 (fma.f64 2 i beta)) alpha))) (+.f64 (/.f64 -1 (/.f64 (/.f64 (.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))) (+.f64 beta (-.f64 -2 (fma.f64 2 i beta))))) (/.f64 (fma.f64 2 i beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (fma.f64 2 i beta))))))) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (*.f64 2 beta))))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (.f64 i 4) (+.f64 2 (*.f64 beta 2))))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (+.f64 (.f64 i 4) (+.f64 2 (*.f64 beta 2)))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (-.f64 (.f64 i 4) (+.f64 -2 (*.f64 beta -2)))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (+.f64 (.f64 i 4) (-.f64 2 (*.f64 beta -2)))) alpha) 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))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (-.f64 (+.f64 beta (neg.f64 beta)) (neg.f64 (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2))))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (+.f64 (.f64 i 4) (+.f64 2 (.f64 beta 2)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (-.f64 (.f64 i 4) (+.f64 -2 (.f64 beta -2)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 (-.f64 beta beta) (+.f64 (.f64 i 4) (-.f64 2 (.f64 beta -2)))) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2))
(if (<=.f64 alpha 820000000000000001314881724779491902658767992515850351411200) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (.f64 -1 (+.f64 beta (.f64 2 i)))) alpha) 2))
(if (<=.f64 alpha 820000000000000001314881724779491902658767992515850351411200) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (/.f64 (-.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (neg.f64 (+.f64 beta (*.f64 2 i)))) alpha) 2))
(if (<=.f64 alpha 820000000000000001314881724779491902658767992515850351411200) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) (+.f64 beta (*.f64 2 i))) alpha) 2))
(if (<=.f64 alpha 1749999999999999928979267798613134780110993156884790019422043267161731865164170244653056) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 (+.f64 i beta))) alpha) 2))
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(if (<=.f64 alpha 215000000000000) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 beta i))) alpha) 2))
(if (<=.f64 alpha 215000000000000) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 beta i) -2)) alpha) 2))
(if (<=.f64 alpha 3600000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 i beta))) alpha) 2))
(if (<=.f64 alpha 3600000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 (+.f64 beta i))) alpha) 2))
(if (<=.f64 alpha 3600000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 beta i) -2)) alpha) 2))
(if (<=.f64 alpha 4500000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 4500000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 4500000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (-.f64 2 (*.f64 beta -2)) alpha) 2))
(if (<=.f64 alpha 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 4999999999999999797083622281751813657459980448242257198348695049033519614754772127580160) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 5800) (/.f64 1 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 5800) 1/2 (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 5800) 1/2 (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 20499999999999998919579982870722139647934708795820338224989726702903514434643693666304) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 20499999999999998919579982870722139647934708795820338224989726702903514434643693666304) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 485 to 331 computations (31.8% saved)

soundness270.0ms (1.5%)

Algorithm

3×	egg-herbie

Rules

1552×	`distribute-lft-in`
1552×	`distribute-lft-in`
1326×	`associate-/l*`
1326×	`associate-/l*`
1236×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73
0	865	21927
1	2845	21501
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73

Stop Event

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

Compiler

Compiled 778 to 464 computations (40.4% saved)

end192.0ms (1%)

Compiler: Compiled 452 to 284 computations (37.2% saved)