Details

analyze235.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 43 to 28 computations (34.9% saved)

sample2.5s (10.6%)

Results

1.5s	6934×	body	256	valid
617.0ms	520×	body	512	valid
364.0ms	743×	body	1024	valid
31.0ms	59×	body	2048	valid

Bogosity

preprocess68.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

11.9b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1) 2)
▶	12.1b	(/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2)
▶	24.3b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
▶	24.3b	(/.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)

localize53.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (*.f64 2 i))))
✓	1.6b	(+.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i))))) 1)
✓	23.5b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 2 i) 2)) (+.f64 alpha (+.f64 beta (.f64 2 i)))))

New

Error

Program

✓

0.0b

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

✓

1.6b

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

✓

23.5b

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

Compiler

Compiled 148 to 75 computations (49.3% saved)

series29.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	i	@	-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	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)))))

rewrite170.0ms (0.7%)

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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simplify281.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	918	35840
1	3436	34904

Stop Event

1×	node limit

Counts

276 → 490

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
✓	1.6b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
✓	20.1b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

New

Error

Program

✓

0.3b

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

✓

1.6b

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

✓

20.1b

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

Compiler

Compiled 136 to 58 computations (57.4% saved)

series18.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite156.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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simplify235.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	34815
1	3574	34123

Stop Event

1×	node limit

Counts

237 → 474

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha)))
✓	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
✓	1.7b	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)

New

Error

Program

✓

0.3b

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

✓

0.3b

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

✓

1.7b

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

Compiler

Compiled 114 to 60 computations (47.4% saved)

series34.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
5.0ms	alpha	@	0	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))
4.0ms	beta	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
4.0ms	i	@	0	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)
2.0ms	alpha	@	-inf	(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify171.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1244×	`+-commutative`
1146×	`associate-+r+`
1090×	`associate-r`
904×	`*-commutative`
840×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	21329
1	2866	21205

Stop Event

1×	node limit

Counts

205 → 371

Calls

Call 1

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

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

localize93.0ms (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))))

✓

12.2b

(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)

✓

18.2b

(/.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)

series81.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
53.0ms	beta	@	-inf	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))
6.0ms	alpha	@	inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
3.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
2.0ms	alpha	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)
2.0ms	beta	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (+.f64 alpha beta) 1)

rewrite136.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify269.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	940	33808
1	3440	33184

Stop Event

1×	node limit

Counts

252 → 445

Calls

Call 1

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

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

eval2.8s (11.8%)

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

prune849.0ms (3.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	1757	23	1780
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1761	23	1784

Error

0.3b

Counts

1784 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.2b	(/.f64 (fma.f64 (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) (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)))))) 1) 2)
▶	27.6b	(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1) 2)
	12.2b	(/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 1) 2)
	26.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) (+.f64 alpha beta) 1) 2)
▶	49.5b	(/.f64 (/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha) 2)
	49.5b	(/.f64 (/.f64 (-.f64 (+.f64 beta (.f64 2 i)) (.f64 -1 (+.f64 beta (+.f64 2 (*.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 -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)
	52.6b	(/.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta (.f64 2 i)) i) (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 i alpha)) (+.f64 (.f64 -2 (/.f64 (.f64 i (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i)))))) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (-.f64 beta (.f64 -1 (+.f64 beta (+.f64 2 (.f64 2 i))))) (+.f64 beta (+.f64 2 (.f64 2 i)))) (pow.f64 alpha 2))))))) (.f64 -1 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) alpha))) 2)
	23.1b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2)
	23.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	23.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	35.3b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	36.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	33.1b	(/.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)
	26.6b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
▶	24.6b	(/.f64 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	19.5b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (+.f64 beta alpha)) 1) 2)
	13.6b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	19.5b	(/.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (+.f64 beta alpha) 1))) 2)
	42.9b	(/.f64 2 2)
▶	25.3b	(/.f64 1 2)

Compiler

Compiled 1330 to 970 computations (27.1% saved)

localize140.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))
✓	1.6b	(fma.f64 (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) (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)))))) 1)
✓	3.2b	(/.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)))))
✓	12.7b	(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))))))

Compiler

Compiled 250 to 133 computations (46.8% saved)

series198.0ms (0.8%)

Counts

4 → 130

Calls

36 calls:

Time	Variable		Point	Expression
36.0ms	alpha	@	-inf	(fma.f64 (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) (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)))))) 1)
20.0ms	beta	@	0	(fma.f64 (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) (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)))))) 1)
17.0ms	alpha	@	inf	(fma.f64 (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) (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)))))) 1)
17.0ms	alpha	@	0	(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))))))
15.0ms	alpha	@	0	(fma.f64 (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) (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)))))) 1)

rewrite126.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`+-commutative`
528×	`add-sqr-sqrt`
518×	`*-un-lft-identity`
516×	`pow1`
490×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	232
1	503	228
2	7663	228

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1/6) (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 alpha beta)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 1 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 alpha beta)) (pow.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) 2) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify817.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-/l*`
1216×	`*-commutative`
966×	`associate-*r/`
812×	`+-commutative`
738×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1683	110928
1	6137	110828

Stop Event

1×	node limit

Counts

272 → 528

Calls

Call 1

Inputs
(pow.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (*.f64 2 i))))) 1/3)
(+.f64 (.f64 1/3 (.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) (pow.f64 (/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))) (pow.f64 beta 4)) 1/9))) (pow.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (*.f64 2 i))))) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))) (pow.f64 beta 4)) 1/3) (.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 (/.f64 1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2)) 1/9) (pow.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)))) 2)))))) (pow.f64 alpha 2)))) (+.f64 (.f64 1/3 (.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) (pow.f64 (/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))) (pow.f64 beta 4)) 1/9))) (pow.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))) (pow.f64 beta 4)) 1/3) (.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 (/.f64 1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (.f64 2 i))))) (pow.f64 beta 2)) 1/9) (pow.f64 (-.f64 (+.f64 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-1
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1
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(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(.f64 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (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 (.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (cbrt.f64 (pow.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 (/.f64 1 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) (/.f64 (+.f64 alpha beta) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) 2)) (/.f64 (+.f64 alpha beta) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (-.f64 beta alpha))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))))
(.f64 (/.f64 (+.f64 alpha beta) 1) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))))
(*.f64 (/.f64 (+.f64 alpha beta) (neg.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (sqrt.f64 (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (/.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 2 i beta))))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)))) -1)
(neg.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (-.f64 beta alpha)) (neg.f64 (+.f64 alpha (fma.f64 2 i beta))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1))) 1)
(.f64 1 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1))
(.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 2) 1) (-.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.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)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 2)))
(*.f64 (cbrt.f64 (pow.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 (neg.f64 (+.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) (neg.f64 (+.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)))))

Outputs
(pow.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (*.f64 2 i))))) 1/3)
(cbrt.f64 (/.f64 (/.f64 (.f64 beta beta) (fma.f64 2 i beta)) (+.f64 beta (+.f64 2 (.f64 2 i)))))
(cbrt.f64 (/.f64 beta (/.f64 (.f64 (fma.f64 2 i beta) (+.f64 beta (+.f64 2 (.f64 2 i)))) beta)))
(+.f64 (.f64 1/3 (.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) (pow.f64 (/.f64 (.f64 1 (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (pow.f64 (+.f64 beta (+.f64 2 (.f64 2 i))) 2))) (pow.f64 beta 4)) 1/9))) (pow.f64 (/.f64 (pow.f64 beta 2) (.f64 (+.f64 beta (.f64 2 i)) (+.f64 beta (+.f64 2 (*.f64 2 i))))) 1/3))
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(cbrt.f64 -1)
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(.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (/.f64 (.f64 alpha alpha) (+.f64 (.f64 2 i) alpha)) (+.f64 2 (+.f64 (.f64 2 i) alpha)))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 alpha (/.f64 (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha))) alpha))))
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(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta)))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta)))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta)))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 3)) (+.f64 (pow.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 2) (-.f64 1 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))))
(pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 1)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 2)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)) 3)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 3) 1/3)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta)))) 1) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1) 3))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))) 1)
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))
(exp.f64 (.f64 (log1p.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta)))))) 1))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))))))
(exp.f64 (log1p.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 2 (fma.f64 2 i beta))) (+.f64 alpha (fma.f64 2 i beta)))) 1)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) (/.f64 (+.f64 beta alpha) (+.f64 (+.f64 2 alpha) (fma.f64 2 i beta))) 1)
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 2 i beta) alpha) (+.f64 alpha (+.f64 2 (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 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (fma.f64 2 i beta)))) (/.f64 beta (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(-.f64 (/.f64 beta (+.f64 alpha (fma.f64 2 i beta))) (/.f64 alpha (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(*.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 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (fma.f64 2 i beta)))))
(.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) alpha)) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (.f64 (sqrt.f64 (-.f64 beta alpha)) (.f64 (sqrt.f64 (-.f64 beta alpha)) 1)) (+.f64 (fma.f64 2 i beta) alpha))
(*.f64 (cbrt.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))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) 2)))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) 2)))
(.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (.f64 (/.f64 1 (+.f64 (fma.f64 2 i beta) alpha)) (cbrt.f64 (-.f64 beta alpha))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (.f64 (cbrt.f64 (-.f64 beta alpha)) 1) (+.f64 (fma.f64 2 i beta) alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (fma.f64 2 i beta))) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (fma.f64 2 i beta) alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (fma.f64 2 i beta) alpha)))
(*.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 (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha))))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha))) (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha)))
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha)) 2))
(.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 (-.f64 beta alpha) (+.f64 (pow.f64 (fma.f64 2 i beta) 3) (pow.f64 alpha 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 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) alpha)))
(*.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 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 beta alpha))) (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha)) 2))
(*.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 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (fma.f64 2 i beta) alpha)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 (fma.f64 2 i beta) alpha) (cbrt.f64 (-.f64 beta alpha))))
(*.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) (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (fma.f64 2 i beta) alpha))))
(*.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)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2 i beta) alpha)) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 2 i beta)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (fma.f64 2 i beta) alpha)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (fma.f64 2 i beta) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 alpha (fma.f64 2 i beta)) 3)))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 2 i beta)))))
(/.f64 (-.f64 beta alpha) (+.f64 (fma.f64 2 i beta) alpha))

localize5.0ms (0%)

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

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 74 to 41 computations (44.6% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`associate-/r*`
544×	`associate-+l+`
380×	`+-commutative`
364×	`add-sqr-sqrt`
354×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	344	60
2	5121	60

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2) -1)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 3))) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 2)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 0) (/.f64 alpha (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) (/.f64 0 (+.f64 alpha (+.f64 beta (fma.f64 2 i 2))))) (/.f64 alpha (+.f64 alpha (+.f64 beta 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simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-*r/`
990×	`+-commutative`
960×	`associate-*l/`
852×	`associate-/r/`
848×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	10821
1	1074	10363
2	4196	9983

Stop Event

1×	node limit

Counts

177 → 319

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

series5.0ms (0%)

Counts

1 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha)
1.0ms	beta	@	0	(/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha)
1.0ms	i	@	0	(/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha)
1.0ms	i	@	inf	(/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha)
0.0ms	beta	@	inf	(/.f64 (-.f64 (+.f64 (.f64 -1 beta) beta) (.f64 -1 (+.f64 (.f64 4 i) (+.f64 2 (.f64 2 beta))))) alpha)

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`associate-+l+`
418×	`add-sqr-sqrt`
408×	`pow1`
408×	`*-un-lft-identity`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	406	15
2	6881	15

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate--r+`
1278×	`associate-+r-`
900×	`associate-+l-`
704×	`associate-/l*`
624×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2215
1	382	1955
2	1446	1497
3	5996	1497

Stop Event

1×	node limit

Counts

73 → 80

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 beta (+.f64 alpha 2))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))
✓	17.7b	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1)
✓	18.5b	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)))

Compiler

Compiled 81 to 37 computations (54.3% saved)

series29.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	alpha	@	-inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1)
2.0ms	alpha	@	inf	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1)
1.0ms	alpha	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1)
1.0ms	beta	@	0	(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta))) (+.f64 alpha beta) 1)
1.0ms	alpha	@	0	(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`associate-/l/`
478×	`associate-+l+`
390×	`+-commutative`
348×	`add-sqr-sqrt`
340×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	126
1	327	126
2	5123	126

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify192.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/r*`
1254×	`associate-r`
1202×	`+-commutative`
1160×	`associate-l`
958×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	23102
1	3082	22038

Stop Event

1×	node limit

Counts

322 → 485

Calls

Call 1

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

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

eval6.1s (25.5%)

Compiler: Compiled 210113 to 143537 computations (31.7% saved)

prune811.0ms (3.4%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1818	15	1833
Fresh	4	14	18
Picked	1	0	1
Done	3	1	4
Total	1826	30	1856

Error

0.3b

Counts

1856 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) (+.f64 alpha beta) 1) 2)
▶	38.2b	(/.f64 (fma.f64 (/.f64 -1 (+.f64 2 alpha)) (+.f64 alpha beta) 1) 2)
	37.3b	(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha))))) 1) (-.f64 (/.f64 (+.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) 1)) 2)
	54.2b	(/.f64 (/.f64 (-.f64 (.f64 beta 0) (+.f64 -2 (.f64 beta -2))) alpha) 2)
	50.7b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
	55.1b	(/.f64 (/.f64 (+.f64 beta (+.f64 2 (*.f64 2 i))) alpha) 2)
	38.3b	(/.f64 (/.f64 (+.f64 -1 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta))))) (+.f64 -1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (/.f64 (+.f64 alpha beta) (+.f64 2 (+.f64 alpha beta)))))) 2)
	56.8b	(/.f64 (/.f64 i (/.f64 alpha 4)) 2)
	60.3b	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
	60.3b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 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 -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)
▶	23.1b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2)
	23.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	23.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	35.3b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	36.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	33.1b	(/.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)
	26.6b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	19.5b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (+.f64 beta alpha)) 1) 2)
	49.5b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (*.f64 2 (/.f64 1 alpha)))) 2)
▶	13.6b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
▶	32.0b	(/.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 2 alpha))) 2)
	18.9b	(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	50.7b	(/.f64 (*.f64 (fma.f64 4 i 2) (/.f64 1 alpha)) 2)
	27.6b	(/.f64 (exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha) 1))) 2)
	51.8b	(/.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 4 i 2) alpha))) 2)
▶	42.9b	(/.f64 2 2)
✓	25.3b	(/.f64 1 2)

Compiler

Compiled 1352 to 948 computations (29.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2))))
✓	0.1b	(/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta))
✓	0.3b	(/.f64 (+.f64 beta (*.f64 2 i)) beta)
✓	0.3b	(/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))

Compiler

Compiled 95 to 62 computations (34.7% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-r`
970×	`associate-l`
908×	`*-commutative`
816×	`associate-/r*`
732×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	682	16026
1	2228	15716

Stop Event

1×	node limit

Counts

268 → 383

Calls

Call 1

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

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

localize14.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 alpha) (+.f64 2 alpha))
✓	2.8b	(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`associate-*r/`
1212×	`associate-/r*`
996×	`associate-*l/`
898×	`associate-/l*`
860×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	221	32
2	3136	32

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-/r/`
1000×	`associate-+l+`
816×	`associate-+r+`
668×	`+-commutative`
560×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	411	8838
1	1131	7996
2	4594	7996

Stop Event

1×	node limit

Counts

196 → 330

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 74 to 48 computations (35.1% saved)

series7.0ms (0%)

Counts

4 → 78

Calls

24 calls:

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

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/l*`
1148×	`associate-/r/`
578×	`associate-+l+`
400×	`+-commutative`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	287	82
2	4466	82

Stop Event

1×	node limit

Counts

4 → 307

Calls

Call 1

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

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

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-r`
1192×	`associate-/r*`
1052×	`+-commutative`
954×	`*-commutative`
850×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	25263
1	2973	24419

Stop Event

1×	node limit

Counts

385 → 622

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 2 alpha))
✓	17.8b	(fma.f64 (/.f64 -1 (+.f64 2 alpha)) (+.f64 alpha beta) 1)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`associate-*r/`
1110×	`*-commutative`
986×	`associate-*l/`
754×	`distribute-lft-in`
504×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	256	40
2	3213	38

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-+l+`
720×	`+-commutative`
696×	`*-commutative`
690×	`associate-/r*`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3939
1	811	3685
2	2571	3475

Stop Event

1×	node limit

Counts

109 → 177

Calls

Call 1

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

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

eval928.0ms (3.9%)

Compiler: Compiled 54466 to 38778 computations (28.8% saved)

prune555.0ms (2.3%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1616	11	1627
Fresh	7	17	24
Picked	0	1	1
Done	1	4	5
Total	1624	33	1657

Error

0.3b

Counts

1657 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) (+.f64 alpha beta) 1) 2)
✓	38.2b	(/.f64 (fma.f64 (/.f64 -1 (+.f64 2 alpha)) (+.f64 alpha beta) 1) 2)
	37.2b	(/.f64 (/.f64 (fma.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 (+.f64 alpha 2) beta) (.f64 (neg.f64 alpha) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))) (.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))) 2)
	38.3b	(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha)) (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha))) 1) (-.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha)) 1)) 2)
	37.2b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta (+.f64 2 alpha)))) 2)
	50.7b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
▶	54.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	56.8b	(/.f64 (/.f64 i (/.f64 alpha 4)) 2)
	60.3b	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
	60.3b	(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
▶	55.3b	(/.f64 (/.f64 2 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 -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)
✓	23.1b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2)
	32.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	37.6b	(/.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2)
	23.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	23.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	35.3b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	36.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	33.1b	(/.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)
	26.6b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	23.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (*.f64 2 (fma.f64 (/.f64 -1 (+.f64 (+.f64 alpha 2) beta)) alpha (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
	19.5b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (+.f64 beta alpha)) 1) 2)
▶	49.5b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (*.f64 2 (/.f64 1 alpha)))) 2)
	49.3b	(/.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta))) 2)
✓	13.6b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
▶	18.9b	(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
	32.5b	(/.f64 (+.f64 1 (*.f64 1/4 (/.f64 beta (/.f64 i (/.f64 beta i))))) 2)
	33.4b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
▶	50.7b	(/.f64 (*.f64 (fma.f64 4 i 2) (/.f64 1 alpha)) 2)
	51.8b	(/.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 4 i 2) alpha))) 2)
✓	42.9b	(/.f64 2 2)
✓	25.3b	(/.f64 1 2)

Compiler

Compiled 1420 to 1065 computations (25% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 beta (+.f64 beta 2)))
✓	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	@	0	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	0	(+.f64 1 (/.f64 beta (+.f64 beta 2)))
0.0ms	beta	@	-inf	(/.f64 beta (+.f64 beta 2))
0.0ms	beta	@	inf	(+.f64 1 (/.f64 beta (+.f64 beta 2)))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`associate-*r/`
920×	`associate-*l/`
844×	`associate-/r*`
782×	`*-commutative`
638×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	179	32
2	2422	32

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 0)))) (#(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 1 (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.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 2 (/.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 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(/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 -1 (-.f64 -2 beta)) 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)))))

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-+r+`
984×	`associate-/r/`
716×	`+-commutative`
566×	`associate--l+`
434×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7133
1	1064	6847
2	4069	6823

Stop Event

1×	node limit

Counts

167 → 261

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

localize5.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 i alpha))
✓	0.0b	(*.f64 2 (/.f64 beta alpha))
✓	0.0b	(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))

Compiler

Compiled 80 to 47 computations (41.3% saved)

series6.0ms (0%)

Counts

3 → 15

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	alpha	@	inf	(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
1.0ms	i	@	0	(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
0.0ms	alpha	@	-inf	(+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))
0.0ms	beta	@	inf	(*.f64 2 (/.f64 beta alpha))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`associate-/l*`
582×	`associate-/r/`
580×	`distribute-rgt-in`
540×	`distribute-lft-in`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	323	47
2	4207	47

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 i alpha)))) (-.f64 1 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 4 (/.f64 i alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i alpha) 2) 16) (-.f64 (*.f64 4 i) 2)) alpha) (*.f64 (/.f64 (*.f64 4 (pow.f64 alpha -2)) (-.f64 (*.f64 4 i) 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 4 (/.f64 i alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 4 (/.f64 i alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (/.f64 i alpha) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (/.f64 i alpha) (/.f64 2 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simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
808×	`associate-/r/`
664×	`associate-/l/`
466×	`distribute-lft-neg-in`
434×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	4838
1	956	4420
2	3930	4402

Stop Event

1×	node limit

Counts

132 → 210

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))

Compiler

Compiled 33 to 25 computations (24.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	i	@	-inf	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
0.0ms	alpha	@	inf	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
0.0ms	alpha	@	0	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
0.0ms	alpha	@	-inf	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))
0.0ms	i	@	0	(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1772×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	220	15
2	2462	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (fma.f64 4 i 2) (/.f64 1 alpha))

Outputs

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1038×	`distribute-lft-in`
988×	`associate-/l/`
944×	`distribute-rgt-in`
846×	`associate-/r/`
704×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	999
1	164	999
2	469	723
3	2683	723

Stop Event

1×	node limit

Counts

49 → 32

Calls

Call 1

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

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

eval234.0ms (1%)

Compiler: Compiled 13700 to 9964 computations (27.3% saved)

prune172.0ms (0.7%)

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	537	10	547
Fresh	2	21	23
Picked	1	0	1
Done	1	8	9
Total	541	39	580

Error

0.3b

Counts

580 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	(/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha (.f64 2 i)) (+.f64 2 (+.f64 alpha (*.f64 2 i))))) (+.f64 alpha beta) 1) 2)
✓	38.2b	(/.f64 (fma.f64 (/.f64 -1 (+.f64 2 alpha)) (+.f64 alpha beta) 1) 2)
	37.2b	(/.f64 (/.f64 (fma.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 (+.f64 alpha 2) beta) (.f64 (neg.f64 alpha) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))) (.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))) 2)
	38.3b	(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha)) (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha))) 1) (-.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 alpha)) 1)) 2)
	37.2b	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2)) (+.f64 beta (+.f64 2 alpha))) (.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta (+.f64 2 alpha)))) 2)
	50.7b	(/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2)
✓	54.2b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	56.8b	(/.f64 (/.f64 i (/.f64 alpha 4)) 2)
	60.3b	(/.f64 (/.f64 beta (/.f64 alpha 2)) 2)
✓	55.3b	(/.f64 (/.f64 2 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 -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)
✓	23.1b	(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) 2)
	47.9b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	32.0b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	37.6b	(/.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (/.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))) 2)
	49.5b	(/.f64 (+.f64 (pow.f64 (cbrt.f64 (/.f64 beta (/.f64 alpha 2))) 3) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2)
	23.8b	(/.f64 (+.f64 (/.f64 (/.f64 (.f64 beta beta) (+.f64 beta (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)
	23.1b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) 1) 2)
	35.3b	(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 beta alpha) (.f64 -2 i)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2)
	36.6b	(/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta alpha) 1/4) (/.f64 (.f64 i i) (-.f64 beta alpha))) 1) 2)
	33.1b	(/.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)
	26.6b	(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 alpha alpha)) (.f64 (+.f64 (.f64 2 i) alpha) (+.f64 2 (+.f64 (.f64 2 i) alpha)))) 1) 2)
	23.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (*.f64 2 (fma.f64 (/.f64 -1 (+.f64 (+.f64 alpha 2) beta)) alpha (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))))) 2)
	19.5b	(/.f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 alpha (fma.f64 2 i beta)) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2))))) (+.f64 beta alpha)) 1) 2)
	50.7b	(/.f64 (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha))) 2)
	57.1b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (+.f64 (.f64 (.f64 4 i) alpha) (.f64 alpha 2)) (*.f64 alpha alpha))) 2)
	58.5b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 i alpha) 3) 64) (/.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 i alpha) 3) 64) (/.f64 8 (pow.f64 alpha 3))))) (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 i alpha) 2) 16) (.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (.f64 4 (/.f64 i alpha))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 i alpha) 3) 64) (/.f64 8 (pow.f64 alpha 3))))))) 2)
	50.0b	(/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (exp.f64 (log.f64 (.f64 4 (/.f64 i alpha)))) (*.f64 2 (/.f64 1 alpha)))) 2)
	32.8b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	49.3b	(/.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 (.f64 4 i) 2) beta))) 2)
✓	13.6b	(/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2)
✓	18.9b	(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)
	32.5b	(/.f64 (+.f64 1 (*.f64 1/4 (/.f64 beta (/.f64 i (/.f64 beta i))))) 2)
	33.4b	(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
	54.4b	(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 2)
	60.3b	(/.f64 (*.f64 (/.f64 2 alpha) beta) 2)
	56.8b	(/.f64 (*.f64 i (/.f64 4 alpha)) 2)
✓	42.9b	(/.f64 2 2)
✓	25.3b	(/.f64 1 2)

Compiler

Compiled 916 to 691 computations (24.6% saved)

regimes387.0ms (1.6%)

Counts

63 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

152.0ms	beta
100.0ms	alpha
31.0ms	(*.f64 2 i)
30.0ms	i
22.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
5.0b	4	`alpha`
10.9b	3	`beta`
12.1b	1	`i`
1.3b	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)`
1.3b	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)`
1.3b	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 1527 to 978 computations (36% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999998	-0.9963536534152289

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes348.0ms (1.5%)

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

134.0ms	beta
94.0ms	alpha
29.0ms	(*.f64 2 i)
27.0ms	i
20.0ms	(/.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
5.1b	4	`alpha`
10.9b	3	`beta`
12.1b	1	`i`
1.3b	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)`
1.3b	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)`
1.3b	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 1202 to 766 computations (36.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999998	-0.9963536534152289

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes350.0ms (1.5%)

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

104.0ms	i
70.0ms	beta
67.0ms	alpha
48.0ms	(*.f64 2 i)
20.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

Results

Error	Segments	Branch
6.9b	2	`alpha`
12.3b	3	`beta`
12.6b	2	`i`
2.3b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
2.3b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
2.3b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
12.6b	2	`(*.f64 2 i)`

Compiler

Compiled 1150 to 738 computations (35.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9401917384660112	-0.10428534738009851

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes307.0ms (1.3%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

7 calls:

80.0ms	i
53.0ms	beta
52.0ms	alpha
41.0ms	(+.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)
40.0ms	(*.f64 2 i)

Results

Error	Segments	Branch
7.4b	2	`alpha`
12.8b	3	`beta`
13.1b	2	`i`
2.8b	2	`(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2)`
2.8b	2	`(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)`
2.8b	2	`(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))`
13.1b	2	`(*.f64 2 i)`

Compiler

Compiled 711 to 463 computations (34.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9401917384660112	-0.10428534738009851

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes131.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	alpha
35.0ms	beta
27.0ms	i
25.0ms	(*.f64 2 i)

Results

Error	Segments	Branch
8.5b	2	`alpha`
13.0b	3	`beta`
13.1b	2	`i`
13.1b	2	`(*.f64 2 i)`

Compiler

Compiled 263 to 199 computations (24.3% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	1.3245032057407938e+122	4.388176511542533e+122

Results

8.0ms	33×	body	512	valid
6.0ms	47×	body	256	valid

Compiler

Compiled 198 to 155 computations (21.7% saved)

regimes226.0ms (1%)

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

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

Calls

4 calls:

84.0ms	i
62.0ms	(*.f64 2 i)
37.0ms	alpha
36.0ms	beta

Results

Error	Segments	Branch
13.3b	2	`alpha`
17.5b	3	`beta`
13.9b	3	`i`
13.9b	3	`(*.f64 2 i)`

Compiler

Compiled 215 to 168 computations (21.9% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.3245032057407938e+122	4.388176511542533e+122

Results

12.0ms	32×	body	512	valid
6.0ms	48×	body	256	valid

Compiler

Compiled 168 to 135 computations (19.6% saved)

regimes72.0ms (0.3%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	alpha
25.0ms	i
8.0ms	beta

Results

Error	Segments	Branch
14.7b	4	`alpha`
18.9b	1	`beta`
14.9b	2	`i`

Compiler

Compiled 114 to 91 computations (20.2% saved)

bsearch127.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
55.0ms	4.3189085041133806e+257	1.981447082649229e+268
25.0ms	3.508256952466403e+223	2.3765826124568008e+224
47.0ms	1.2423411994093227e+191	1.5365531281335563e+202

Results

75.0ms	187×	body	1024	valid
29.0ms	158×	body	256	valid
16.0ms	71×	body	512	valid

Compiler

Compiled 682 to 565 computations (17.2% saved)

regimes49.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	i
16.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
16.6b	2	`alpha`
18.9b	1	`beta`
14.9b	2	`i`

Compiler

Compiled 105 to 84 computations (20% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	3.489300800143336e+153	1.3815421533380043e+158

Results

17.0ms	123×	body	256	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 198 to 169 computations (14.6% saved)

regimes40.0ms (0.2%)

Accuracy

Total -44.9b remaining (-243%)

Threshold costs -44.9b (-243%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	alpha
13.0ms	beta
9.0ms	i

Results

Error	Segments	Branch
22.3b	2	`alpha`
18.5b	2	`beta`
25.3b	1	`i`

Compiler

Compiled 87 to 70 computations (19.5% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	1.3404298253757262e+72	1.0483893809443287e+76

Results

12.0ms	94×	body	256	valid
5.0ms	22×	body	512	valid
4.0ms	12×	body	1024	valid

Compiler

Compiled 150 to 137 computations (8.7% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative`
18×	`*-commutative`
4×	`sub-neg`
2×	`*-rgt-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1076
1	140	1076
2	144	1076
3	146	1076
4	147	1076

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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2))
(if (<=.f64 alpha 210000000000000015868841242865907974745131924401632520789559800706922039775662376983180947109540482961165315501625935134720) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1) 2) (/.f64 (/.f64 (+.f64 (.f64 4 i) 2) alpha) 2))
(if (<=.f64 alpha 200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 (*.f64 4 i) 2) alpha) 2))
(if (<=.f64 alpha 149999999999999987140157198179781484346309346431040348995915646043244894123756951198647412499089380925734887773697816816043564399905184628841312193252473669998758477992046264817798038656385024) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (<=.f64 alpha 60000000000000000227682697311325102521790557346899786709506970633868105796240205772836690517480247566573300178967893441243757938154643517796367672439498126392367501659675277046770174185517475338814264866839162774437639487488) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (if (<=.f64 alpha 439999999999999986584112624542421604952406914615834668107094221893807977101133095385140485487895849884298487441338861468185808646409044248107733164400591357942837031393425222830827152432682770797552357284602357728818154962179129349559901998517916318574837760) (/.f64 (/.f64 i (/.f64 alpha 4)) 2) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2))))
(if (<=.f64 i 20999999999999999436189322827560136700085634943499688028406078940651492973786426024400341679766305212802330007134184559762627882364284981668219282278842368) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 1 2))
(if (<=.f64 beta 1399999999999999960554421174479154207653797675676685844801494976779255808) (/.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)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha (fma.f64 2 i 2)) beta)) 1) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 2 i 2)))) (+.f64 alpha (fma.f64 2 i beta))) (+.f64 alpha beta) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -4494592428115755/4503599627370496) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (fma.f64 2 i alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta (fma.f64 2 i 2)))) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 1 (/.f64 (/.f64 beta (/.f64 (+.f64 beta (*.f64 2 i)) beta)) (+.f64 beta (fma.f64 2 i 2)))) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1) 2))
(if (<=.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i)))) -1/2) (/.f64 (+.f64 (.f64 2 (/.f64 beta alpha)) (+.f64 (.f64 4 (/.f64 i alpha)) (.f64 2 (/.f64 1 alpha)))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 2))
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(if (<=.f64 beta 1399999999999999960554421174479154207653797675676685844801494976779255808) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 1399999999999999960554421174479154207653797675676685844801494976779255808) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 414 to 286 computations (30.9% saved)

soundness377.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1552×	`distribute-lft-in`
1552×	`distribute-lft-in`
1484×	`associate-r`
1346×	`+-commutative`
1326×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73
0	17	85
1	36	77
2	113	73
3	455	73
4	1807	73
5	3064	73
6	4402	73
0	940	33808
1	3440	33184

Stop Event

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

Compiler

Compiled 266 to 152 computations (42.9% saved)

end247.0ms (1%)

Compiler: Compiled 387 to 243 computations (37.2% saved)