Details

analyze62.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
0%	0%	56.2%	43.8%	0%	0%	0%	2
25%	14%	42.1%	43.8%	0%	0%	0%	3
37.5%	21.1%	35.1%	43.8%	0%	0%	0%	4
56.3%	31.6%	24.6%	43.8%	0%	0%	0%	5
65.6%	36.9%	19.3%	43.8%	0%	0%	0%	6
76.6%	43%	13.2%	43.8%	0%	0%	0%	7
82%	46.1%	10.1%	43.8%	0%	0%	0%	8
87.9%	49.4%	6.8%	43.8%	0%	0%	0%	9
90.8%	51%	5.2%	43.8%	0%	0%	0%	10
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	11
95.4%	53.6%	2.6%	43.8%	0%	0%	0%	12

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.8s (8.8%)

Results

1.8s

8256×

body

256

valid

Bogosity

preprocess359.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2372×	`associate-/l*`
1520×	`+-commutative`
1320×	`distribute-lft-in`
1166×	`*-commutative`
848×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	64	150
2	160	150
3	656	146
4	3490	146
5	4307	146
6	4616	146
7	5113	146
8	5554	146
9	5567	146
10	6057	146
11	6356	146
12	6610	146
13	6872	146
14	7571	146
15	7590	146
16	7597	146
17	7604	146
18	7611	146
19	7618	146
20	7625	146
21	7632	146
22	7654	146
23	7661	146
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify638.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

8048×	`associate-+r+`
2246×	`associate-/l*`
1374×	`*-commutative`
1060×	`distribute-lft-in`
808×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

eval3.0ms (0%)

Compiler: Compiled 241 to 150 computations (37.8% saved)

prune5.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	5	4	9
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	5	10

Error

0.0b

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.3b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	3.2b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶	1.4b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 120 to 80 computations (33.3% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
✓	1.5b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 87 to 53 computations (39.1% saved)

series21.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	0	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	alpha	@	0	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	alpha	@	-inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	-inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`associate-+l+`
492×	`+-commutative`
446×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	422	142
2	6874	142

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))

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

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1742×	`associate-r`
1590×	`associate-l`
1396×	`+-commutative`
1120×	`associate-+r+`
842×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23090
1	3363	22798

Stop Event

1×	node limit

Counts

288 → 498

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 (+.f64 alpha beta) 3)))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) 1))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 1)
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 1))
(*.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) (+.f64 alpha 1))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 9 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 alpha beta) 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 alpha beta) 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 alpha (.f64 alpha (+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 (.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 alpha (.f64 alpha (+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 3))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 alpha beta) 3))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 alpha beta) 3))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 3 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
✓	0.0b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.0b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 97 to 65 computations (33% saved)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	-inf	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
1.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
1.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`+-commutative`
436×	`add-sqr-sqrt`
426×	`pow1`
426×	`*-un-lft-identity`
408×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	196
1	414	160
2	6531	160

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))

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

simplify252.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-r`
1398×	`+-commutative`
1362×	`associate-l`
1094×	`associate-+r+`
780×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	962	25241
1	3392	25049

Stop Event

1×	node limit

Counts

265 → 509

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 2 (/.f64 (.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (-.f64 (+.f64 4 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (.f64 2 alpha) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (-.f64 (.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (.f64 2 (+.f64 2 alpha))))) (+.f64 1 (.f64 -1 (/.f64 (-.f64 (.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 2 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 alpha (+.f64 beta 1))
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1
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1
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(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
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(+.f64 (.f64 (+.f64 beta 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(+.f64 (.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) 1)
(/.f64 1 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 beta 1))
(/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 1) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha (+.f64 beta 2))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 beta 1)))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 2))) (-.f64 -1 beta))
(/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 1) (+.f64 beta 1))
(/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (hypot.f64 1 (sqrt.f64 beta))) (hypot.f64 1 (sqrt.f64 beta)))
(/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (cbrt.f64 (+.f64 beta 1)))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 -1 beta))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 -2 (+.f64 alpha beta))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(/.f64 (.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 1)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))) 1)
(.f64 1 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 1)
(.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)) (+.f64 alpha 1))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 1))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 1)
(.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))

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

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.4b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	2.2b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

New

Error

Program

✓

0.0b

(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))

✓

1.4b

(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

✓

2.2b

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

Compiler

Compiled 93 to 46 computations (50.5% saved)

series61.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	-inf	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`associate-+l+`
612×	`+-commutative`
560×	`associate-+r+`
444×	`add-sqr-sqrt`
434×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	145
1	420	133
2	6857	133

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs

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

(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 (+.f64 alpha 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(-.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 alpha beta) 3) alpha (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))))))

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1196×	`+-commutative`
1106×	`associate-r`
972×	`*-commutative`
958×	`associate-l`
892×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	22672
1	2877	21000

Stop Event

1×	node limit

Counts

240 → 404

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (.f64 alpha alpha) (+.f64 (.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 alpha alpha) (+.f64 (.f64 (+.f64 beta 3) alpha) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (.f64 alpha (+.f64 beta 2)) (+.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 alpha (+.f64 beta 2)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 alpha beta) alpha) (+.f64 (.f64 3 alpha) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha beta)) (.f64 (+.f64 (+.f64 alpha beta) 3) 2))
(+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) beta) (+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) 2) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) 2) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha beta)))
(+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) 2) (+.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) beta) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(+.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)))
(+.f64 (.f64 alpha (+.f64 alpha beta)) (+.f64 (.f64 alpha 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 alpha 3) (+.f64 (.f64 alpha (+.f64 alpha beta)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 beta 2) (+.f64 alpha beta)) (+.f64 (.f64 (+.f64 beta 2) 3) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 beta 2) 3) (+.f64 (.f64 (+.f64 beta 2) (+.f64 alpha beta)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3)) (.f64 2 (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (.f64 beta (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 2 (+.f64 (+.f64 alpha beta) 3)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 2 (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (.f64 2 (+.f64 (+.f64 alpha beta) 3)) (+.f64 (.f64 beta (+.f64 (+.f64 alpha beta) 3)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) 1) (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) 1))
(+.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) 1) (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) 1))
(+.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))) (.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (.f64 3 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 3 (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (.f64 3 alpha) (+.f64 (.f64 (+.f64 alpha beta) alpha) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta 2)) (+.f64 (.f64 3 (+.f64 beta 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (.f64 3 (+.f64 beta 2)) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 beta 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 3))))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 (+.f64 alpha beta) 3) beta)) (*.f64 (+.f64 (+.f64 alpha beta) 3) 2))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 (+.f64 alpha beta) 3) 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) beta))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) 3))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha beta)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 beta (+.f64 (+.f64 alpha beta) 3))) (*.f64 2 (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 2 (+.f64 (+.f64 alpha beta) 3))) (*.f64 beta (+.f64 (+.f64 alpha beta) 3)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha beta) (+.f64 beta 2))) (*.f64 3 (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 3 (+.f64 beta 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta 2)))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha alpha)) (*.f64 alpha (+.f64 beta 3)))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha alpha)) (*.f64 (+.f64 beta 3) alpha))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha beta) alpha)) (*.f64 3 alpha))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 3))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha 3)) (*.f64 alpha (+.f64 alpha beta)))
(+.f64 (+.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 3 alpha)) (*.f64 (+.f64 alpha beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))) 1)
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 alpha beta) 3)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (+.f64 alpha beta) 3)) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))))
(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 (+.f64 alpha beta) 3))) (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))) (-.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) 3)) (+.f64 (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 (+.f64 alpha beta) 3))) (-.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))) (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 alpha (-.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))
(fma.f64 (+.f64 (+.f64 alpha beta) 3) alpha (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))

Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 1 (/.f64 beta alpha))) (-.f64 beta (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) (/.f64 (.f64 alpha alpha) (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (/.f64 1 alpha)) 1)) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) (/.f64 (.f64 alpha alpha) (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (/.f64 1 alpha)) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))) 1)) (-.f64 beta (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(neg.f64 (fma.f64 -1 beta -1))
(*.f64 1 (+.f64 beta 1))
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(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) 3)) (+.f64 (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (.f64 alpha (+.f64 (+.f64 alpha beta) 3))) (-.f64 (.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))) (.f64 (.f64 alpha (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 3)) (fma.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (-.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 3)) (fma.f64 (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 beta 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 (.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (.f64 alpha (+.f64 alpha (+.f64 beta 3))))))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (/.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta -3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (/.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 beta (-.f64 alpha 3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))
(.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 3 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 alpha (+.f64 beta -3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta (-.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))
(.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 3 (+.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (/.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta -3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (/.f64 (.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 beta (-.f64 alpha 3))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 alpha (-.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 alpha (+.f64 beta -3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta (-.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))) (-.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 3 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (.f64 3 (+.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 1)
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 3)
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))) 3))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3)))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 3) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) 1))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(fma.f64 alpha (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(fma.f64 (+.f64 (+.f64 alpha beta) 3) alpha (*.f64 (+.f64 beta 2) (+.f64 (+.f64 alpha beta) 3)))
(fma.f64 alpha alpha (fma.f64 alpha (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.0b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	2.2b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

series9.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`associate-+l+`
538×	`associate-+r+`
514×	`+-commutative`
388×	`add-sqr-sqrt`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	196
1	368	160
2	5911	160

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (/.f64 1 (+.f64 (+.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1)) (.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1)) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (/.f64 (+.f64 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simplify252.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1458×	`+-commutative`
1380×	`associate-r`
1340×	`associate-l`
1078×	`*-commutative`
1076×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	949	26142
1	3253	25954

Stop Event

1×	node limit

Counts

260 → 502

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
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(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 3) 1/3)
(pow.f64 (.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (-.f64 -3 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))) 1)
(.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (*.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (/.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 1 (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 1)
(.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1)) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1)) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (-.f64 -1 (+.f64 (+.f64 alpha beta) (.f64 beta alpha))) (+.f64 (+.f64 alpha beta) 2)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1)) 2) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1)) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) 2) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1)) (+.f64 (+.f64 alpha beta) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) 3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha))) (log.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha))) (log.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
(-.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 0)
(-.f64 (+.f64 alpha (+.f64 beta 1)) -2)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (.f64 beta beta) (-.f64 alpha beta)) 3))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))
(-.f64 (+.f64 4 (+.f64 alpha beta)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (+.f64 3 (/.f64 (.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (.f64 beta beta) (-.f64 alpha beta)))
(*.f64 1 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))
(*.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 2) (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(exp.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) 2)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) 2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 (+.f64 alpha beta) 2) 1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)

Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
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(+.f64 beta 3)
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alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
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(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
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(+.f64 3 alpha)
(+.f64 alpha 3)
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(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
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(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
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(.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (.f64 beta alpha))))) 2) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (+.f64 1 (*.f64 beta alpha))))) (+.f64 (+.f64 beta 2) alpha)))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 -1 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (+.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 beta (+.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)) (+.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (-.f64 -1 (+.f64 beta alpha))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (-.f64 -1 (+.f64 beta alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) 1) (neg.f64 (+.f64 (+.f64 beta 1) alpha)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (neg.f64 (+.f64 beta (+.f64 1 alpha))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (-.f64 -1 (+.f64 beta alpha)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (+.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 (+.f64 beta alpha) -3))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 alpha -3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (-.f64 -1 (+.f64 beta alpha)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)) (-.f64 -1 (+.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 27) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 1)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 2)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)) 3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(pow.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 3) 1/3)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 3) 2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1))))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1) 3))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(exp.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) 2)))
(exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha))))
(exp.f64 (log1p.f64 (+.f64 (+.f64 beta 2) alpha)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) 2)) 1))
(exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta alpha))))
(exp.f64 (log1p.f64 (+.f64 (+.f64 beta 2) alpha)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 alpha beta) 2) 1)))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 beta alpha) 3)
(fma.f64 1 (+.f64 (+.f64 alpha beta) 2) 1)
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) 1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 3)

eval2.6s (12.6%)

Compiler: Compiled 103169 to 71691 computations (30.5% saved)

prune687.0ms (3.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1896	17	1913
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1900	17	1917

Error

Counts

1917 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
	15.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	32.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha)))))
	32.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	4.3b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	4.3b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	17.2b	(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (.f64 beta (neg.f64 (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	15.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	15.4b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.5b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	25.5b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	30.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	4.3b	(/.f64 (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶	6.5b	(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))

Compiler

Compiled 704 to 498 computations (29.3% saved)

localize89.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
✓	0.0b	(.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.3b	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)

Compiler

Compiled 125 to 85 computations (32% saved)

series22.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	0	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
3.0ms	beta	@	0	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
2.0ms	alpha	@	inf	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
2.0ms	alpha	@	-inf	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)
2.0ms	beta	@	-inf	(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`add-sqr-sqrt`
456×	`*-un-lft-identity`
454×	`pow1`
454×	`+-commutative`
440×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	152
1	455	122
2	6854	122

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

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

(*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)) (sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 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simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1196×	`distribute-lft-in`
1072×	`associate-r`
984×	`associate-/l*`
932×	`+-commutative`
854×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	22740
1	2397	22628

Stop Event

1×	node limit

Counts

128 → 242

Calls

Call 1

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

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2))) (+.f64 beta 1)) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (+.f64 4 (.f64 beta 2))) (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 4) alpha))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (+.f64 (.f64 7 (/.f64 1 (+.f64 beta 1))) (+.f64 (/.f64 beta (+.f64 beta 1)) (.f64 2 (/.f64 beta (+.f64 beta 1)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) 2)) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2))) (+.f64 beta 1)) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))) alpha) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 7 (+.f64 beta 1)) (.f64 3 (/.f64 beta (+.f64 beta 1))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2))) (+.f64 beta 1))) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2))) (+.f64 beta 1)) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))) 2) (pow.f64 (+.f64 beta 2) 6)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (+.f64 4 (.f64 beta 2))) (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 4) alpha))) (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (-.f64 (+.f64 (/.f64 7 (+.f64 beta 1)) (/.f64 (.f64 3 beta) (+.f64 beta 1))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))) (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (+.f64 4 (.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (+.f64 4 (.f64 beta 2))) (.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))) 2) (pow.f64 (+.f64 beta 2) 6)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1))) (.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (+.f64 -1 (neg.f64 alpha))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (+.f64 beta 1))) (-.f64 -1 alpha)) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (.f64 (-.f64 -1 alpha) (+.f64 beta 1)))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (-.f64 alpha 3) beta)))
(/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (*.f64 (+.f64 beta 1) (-.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) (+.f64 1 alpha)) (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 alpha (-.f64 -3 beta))))
(/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (.f64 (.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (.f64 (+.f64 alpha 1) (-.f64 (-.f64 alpha 3) beta)))
(/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (*.f64 (+.f64 beta 1) (-.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) (+.f64 1 alpha)) (/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 alpha (-.f64 -3 beta))))
(/.f64 (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 alpha 1) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (.f64 (.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (+.f64 -1 (neg.f64 alpha)) (-.f64 (-.f64 alpha 3) beta)))
(/.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (.f64 (-.f64 alpha (+.f64 beta 3)) (-.f64 -1 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (+.f64 beta 1))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)) (/.f64 (+.f64 alpha (-.f64 -3 beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (-.f64 -1 alpha))))
(/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta 1)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 -1 (neg.f64 alpha)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (+.f64 beta 1))) (-.f64 -1 alpha)) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (.f64 (-.f64 -1 alpha) (+.f64 beta 1)))))
(/.f64 (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (+.f64 -1 (neg.f64 alpha)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (+.f64 beta 1)) (/.f64 (-.f64 -1 alpha) (+.f64 (+.f64 beta alpha) 3)))
(.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (.f64 (-.f64 -1 alpha) (+.f64 beta 1))) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) 1)
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(pow.f64 (sqrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 3)
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(pow.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) 3) 1/3)
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(sqrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha))) (+.f64 (+.f64 beta alpha) 3)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (log.f64 (exp.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) (+.f64 1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(cbrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) 3))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(cbrt.f64 (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)) 3)))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(expm1.f64 (log1p.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))
(exp.f64 (-.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))) (log1p.f64 alpha)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))
(*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
1.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms	alpha	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`add-sqr-sqrt`
1816×	`*-un-lft-identity`
1702×	`add-cube-cbrt`
1684×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	169	19
2	2331	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-*r/`
694×	`associate-+r+`
588×	`associate-*l/`
500×	`associate-/l*`
486×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1759
1	260	1739
2	901	1439
3	4525	1145

Stop Event

1×	node limit

Counts

57 → 53

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	1.4b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	inf	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`associate-/l*`
488×	`associate-+l+`
428×	`+-commutative`
352×	`add-sqr-sqrt`
344×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	336	43
2	5155	43

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Outputs

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

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-lft-in`
652×	`associate-/l/`
610×	`distribute-rgt-in`
488×	`*-commutative`
488×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	6982
1	1185	6544
2	5721	6504

Stop Event

1×	node limit

Counts

66 → 145

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))

✓

0.5b

(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 63 to 38 computations (39.7% saved)

series10.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`distribute-lft-neg-in`
450×	`associate-+l+`
414×	`+-commutative`
384×	`add-sqr-sqrt`
374×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	365	74
2	5799	74

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))

Outputs

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

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

872×	`distribute-lft-in`
856×	`associate-r`
796×	`distribute-rgt-in`
720×	`*-commutative`
708×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	10960
1	1729	10592

Stop Event

1×	node limit

Counts

130 → 226

Calls

Call 1

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

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 beta (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(fma.f64 beta (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/2 (/.f64 (.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 7 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (.f64 -1/2 (.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)))))
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1/2
(+.f64 1/2 (*.f64 1/4 beta))
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1
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1
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(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (neg.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	6.5b	(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`+-commutative`
488×	`associate-+l+`
442×	`add-sqr-sqrt`
432×	`pow1`
432×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	419	110
2	6751	110

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))

(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) 1) (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta beta -1) (*.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 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beta -1)) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3)))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 1) (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 beta 1)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta))) (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (-.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3) (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta))) (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) (fma.f64 beta beta -1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (fma.f64 beta beta (-.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (fma.f64 beta beta -1)) (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 1 (pow.f64 beta 3))) (*.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) 1) (*.f64 (+.f64 beta -1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (*.f64 (+.f64 beta -1) (*.f64 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simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-r`
1060×	`+-commutative`
1054×	`associate-l`
1034×	`*-commutative`
1008×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	23521
1	2803	23255

Stop Event

1×	node limit

Counts

157 → 288

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (.f64 (+.f64 beta 1) (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 beta 1)) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (fma.f64 beta beta -1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (+.f64 beta -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta))) (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (-.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3) (pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) 3)) (-.f64 (+.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta))) (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (.f64 (+.f64 alpha 1) (fma.f64 beta beta -1)) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta -1)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 (pow.f64 beta 3))) (.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta -1)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (fma.f64 beta beta -1)) (.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta -1)))
(/.f64 (.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 1 (pow.f64 beta 3))) (.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (.f64 (fma.f64 beta beta -1) 1) (.f64 (+.f64 beta -1) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1)))))
(/.f64 (.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (.f64 (+.f64 beta -1) (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 beta -1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta -1) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (fma.f64 beta beta -1) (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))) (.f64 (+.f64 beta -1) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) 1) (.f64 (fma.f64 beta beta (-.f64 1 beta)) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 alpha 1)) (.f64 (fma.f64 beta beta (-.f64 1 beta)) (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (fma.f64 beta beta (-.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3)))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))) (.f64 (fma.f64 beta beta (-.f64 1 beta)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))) (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (+.f64 beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3) (pow.f64 (+.f64 beta 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))))
(fma.f64 beta (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) beta (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))) 1)
(.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) 1))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))) 1))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) 2) (.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) 1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)))
(.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (/.f64 1 (neg.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 alpha beta) 3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) 3)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) 2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(pow.f64 (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha 1))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 (+.f64 alpha beta) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))))

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

eval2.1s (10.2%)

Compiler: Compiled 83507 to 61155 computations (26.8% saved)

prune538.0ms (2.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1660	14	1674
Fresh	6	6	12
Picked	1	0	1
Done	3	1	4
Total	1670	21	1691

Error

Counts

1691 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	4.1b	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
	15.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	32.1b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	31.4b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha)))))
	4.3b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	15.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶	28.5b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	24.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
	15.4b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	42.6b	(/.f64 (/.f64 alpha beta) beta)
	27.6b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	32.4b	(/.f64 (/.f64 1 beta) beta)
✓	30.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	62.2b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	17.4b	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	43.8b	(/.f64 alpha (*.f64 beta beta))
▶	0.3b	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
	32.7b	(/.f64 1 (*.f64 beta beta))
▶	62.4b	(/.f64 1 alpha)
	34.1b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))

Compiler

Compiled 637 to 458 computations (28.1% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
	0.0b	(.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
✓	0.3b	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))

Compiler

Compiled 124 to 84 computations (32.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
1.0ms	beta	@	0	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
0.0ms	alpha	@	-inf	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
0.0ms	beta	@	-inf	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
0.0ms	alpha	@	inf	(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`add-sqr-sqrt`
452×	`+-commutative`
444×	`pow1`
444×	`*-un-lft-identity`
426×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	436	61
2	6759	61

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))

Outputs

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

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-lft-in`
876×	`distribute-rgt-in`
692×	`associate-+l-`
668×	`associate-+r-`
568×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	345	10169
1	1362	9349
2	7155	9349

Stop Event

1×	node limit

Counts

55 → 110

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
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(sqrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -2))
(log.f64 (exp.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(exp.f64 (log.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (log1p.f64 alpha)) -1))
(exp.f64 (.f64 (log.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (.f64 alpha (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3))))))))
(-.f64 (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (.f64 alpha (.f64 alpha (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)))))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 (.f64 beta 2) 7)))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
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(sqrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha))) -2))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha))))
(log.f64 (exp.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))))))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1)))) 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))) (log1p.f64 alpha)) -1))
(pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)))) (log1p.f64 alpha))) -1)
(exp.f64 (neg.f64 (-.f64 (log.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))) (log1p.f64 alpha))))
(exp.f64 (.f64 (log.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))) 1))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))))
(/.f64 (/.f64 1 (+.f64 (+.f64 beta 3) alpha)) (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 3 (+.f64 beta alpha)))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 alpha beta) beta)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1474×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1356×	`add-cbrt-cube`
1344×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1826	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-+r+`
1530×	`associate-+l+`
1138×	`associate-*r/`
704×	`associate-*l/`
696×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	913
1	277	895
2	1021	895
3	4721	895

Stop Event

1×	node limit

Counts

61 → 45

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) beta)
✓	0.2b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-/r/`
1316×	`distribute-lft-in`
1242×	`associate-/l/`
270×	`add-sqr-sqrt`
264×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	257	44
2	3848	44

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) beta)

Outputs

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

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

simplify477.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1190×	`+-commutative`
1054×	`associate-+r+`
746×	`associate-/l*`
660×	`associate-r`
638×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	8129
1	1488	7483
2	7475	7483

Stop Event

1×	node limit

Counts

173 → 245

Calls

Call 1

Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (.f64 (-.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta alpha))) (+.f64 (/.f64 3 (.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (/.f64 1 (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) beta)) (/.f64 1 beta))) (pow.f64 alpha 3)) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (.f64 beta (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (neg.f64 (+.f64 beta 3))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (+.f64 (neg.f64 beta) -3)))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 alpha alpha)) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(.f64 (+.f64 alpha 1) (.f64 (/.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (-.f64 (-.f64 alpha beta) 3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (-.f64 (-.f64 alpha beta) 3))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (-.f64 alpha beta) 3)))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (/.f64 (+.f64 alpha 1) beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha beta) 3)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 beta (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 beta (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta 1)) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 -3 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 beta (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))
(+.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) beta))
(*.f64 (+.f64 alpha 1) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 beta) (+.f64 alpha 1))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) beta) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (-.f64 (.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) 1/3)
(pow.f64 (/.f64 beta (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))

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

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 56 to 39 computations (30.4% saved)

series15.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
2.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`associate-/r/`
456×	`associate-+l+`
360×	`+-commutative`
344×	`add-sqr-sqrt`
334×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	329	72
2	4938	72

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))

Outputs

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

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-/l*`
1230×	`associate-r`
1214×	`associate-*l/`
1142×	`associate-l`
1070×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	20632
1	2934	20268

Stop Event

1×	node limit

Counts

230 → 427

Calls

Call 1

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

Outputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (.f64 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (.f64 alpha alpha)) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 alpha alpha)) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (.f64 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (.f64 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))))) (.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (.f64 alpha alpha)) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (.f64 2 beta) 9)))) (.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 alpha alpha)) (.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))) (.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha)) (.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1/2 (.f64 1/4 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))) (.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6)))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha))) (.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 (.f64 2 beta) 9)) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha))) (/.f64 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))) (*.f64 alpha alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1/2 (.f64 1/4 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1/2 (.f64 1/4 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 1/2 (.f64 1/4 (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (.f64 2 (+.f64 beta 3)))))) (.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))))) (.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6)))))) (.f64 -1/2 (.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6)))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6)))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha)))) (.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (.f64 2 beta) 6))) (.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 (+.f64 beta (+.f64 (.f64 2 beta) 9)) (.f64 (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 (.f64 2 beta) 9)) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) -1/2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (+.f64 beta (+.f64 (.f64 2 beta) 9)) (+.f64 1/2 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))))) (.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha)))) (/.f64 (.f64 -1/4 (+.f64 beta (+.f64 (.f64 2 beta) 9))) (.f64 alpha alpha)))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 alpha alpha)) (/.f64 1/2 alpha)) (.f64 -1/4 (/.f64 (.f64 (+.f64 beta 3) -3) (.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (.f64 (+.f64 beta 3) 3/4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -2 (+.f64 beta 3)) (.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (.f64 -1/4 (+.f64 (.f64 -1 (+.f64 beta 3)) (.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
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1/2
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1/2
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(/.f64 (+.f64 1 alpha) beta)
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(.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (/.f64 1 (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (cbrt.f64 (+.f64 1 alpha))))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 3 (.f64 2 alpha)))))
(.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(.f64 (neg.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha)))) (/.f64 (+.f64 1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))))
(.f64 (/.f64 (+.f64 alpha 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))) (+.f64 1 alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 (.f64 2 alpha))))) (-.f64 beta (+.f64 3 (.f64 2 alpha))))
(.f64 (-.f64 beta (+.f64 3 (.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 (.f64 2 alpha)) 2))))
(.f64 (+.f64 beta (+.f64 -3 (.f64 alpha -2))) (/.f64 (+.f64 1 alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 (.f64 2 alpha)) 2))))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 (pow.f64 (.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))
(/.f64 (.f64 (+.f64 1 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))) (-.f64 (pow.f64 (*.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (.f64 2 alpha)) 3))) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 (.f64 2 alpha)))) (.f64 beta (+.f64 3 (.f64 2 alpha)))))
(.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 3 (.f64 2 alpha)) 2)) (.f64 beta (+.f64 3 (.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (cbrt.f64 (+.f64 alpha 1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (/.f64 1 (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (cbrt.f64 (+.f64 1 alpha))))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 3 (.f64 2 alpha)))))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (fma.f64 alpha alpha -1)))
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (+.f64 beta (+.f64 3 (.f64 2 alpha)))) (fma.f64 alpha alpha -1)))
(.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 alpha alpha -1) 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (+.f64 alpha (.f64 alpha alpha))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (+.f64 beta (+.f64 3 (.f64 2 alpha)))) (/.f64 (+.f64 -1 (pow.f64 alpha 3)) (+.f64 1 (+.f64 alpha (.f64 alpha alpha)))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (-.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (/.f64 1 (+.f64 (+.f64 beta 3) (*.f64 2 alpha))))) (+.f64 alpha (fma.f64 alpha alpha -1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta (+.f64 3 (.f64 2 alpha)))) (/.f64 (-.f64 (pow.f64 alpha 4) (.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (+.f64 alpha (fma.f64 alpha alpha -1))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (.f64 (.f64 alpha alpha) (.f64 alpha alpha)) (.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (.f64 (.f64 alpha alpha) (-.f64 1 alpha))))
(.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 (+.f64 (+.f64 beta 3) (.f64 2 alpha))))) (+.f64 (pow.f64 alpha 4) (-.f64 (.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (.f64 (.f64 alpha alpha) (-.f64 1 alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta (+.f64 3 (.f64 2 alpha)))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (pow.f64 alpha 4) (-.f64 (.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (.f64 alpha (.f64 alpha (-.f64 1 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2))) (+.f64 beta (-.f64 3 (*.f64 2 alpha))))
(.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))
(.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(.f64 (neg.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha)))) (/.f64 (+.f64 1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))) (+.f64 1 alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 (.f64 2 alpha))))) (-.f64 beta (+.f64 3 (.f64 2 alpha))))
(.f64 (-.f64 beta (+.f64 3 (.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 (.f64 2 alpha)) 2))))
(.f64 (+.f64 beta (+.f64 -3 (.f64 alpha -2))) (/.f64 (+.f64 1 alpha) (-.f64 (.f64 beta beta) (pow.f64 (+.f64 3 (.f64 2 alpha)) 2))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))
(/.f64 (.f64 (+.f64 1 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))) (-.f64 (pow.f64 (*.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2)))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (.f64 2 alpha)) 3))) (-.f64 (+.f64 (.f64 beta beta) (.f64 (+.f64 3 (.f64 2 alpha)) (+.f64 3 (.f64 2 alpha)))) (.f64 beta (+.f64 3 (.f64 2 alpha)))))
(.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 3 (.f64 2 alpha)) 2)) (.f64 beta (+.f64 3 (.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 3))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 beta (+.f64 3 (.f64 2 alpha)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (.f64 2 alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2)))) (sqrt.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 3 (.f64 2 alpha))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2))) (sqrt.f64 (+.f64 beta (+.f64 3 (*.f64 -2 alpha))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (.f64 (pow.f64 alpha 3) 8)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 (.f64 2 alpha)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 (.f64 2 alpha) (-.f64 (.f64 2 alpha) (+.f64 beta 3))))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (.f64 2 alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 3 (.f64 -2 alpha))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2))))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (.f64 2 alpha) 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 (.f64 2 alpha)))) 2))) (cbrt.f64 (+.f64 beta (+.f64 3 (*.f64 -2 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(pow.f64 (/.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)) (+.f64 alpha 1)) -1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 2 alpha)))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) 3))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 3 (*.f64 2 alpha))))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) (.f64 2 alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 beta (+.f64 3 (*.f64 2 alpha))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 (*.f64 2 alpha))))

eval1.0s (5.1%)

Compiler: Compiled 49906 to 36734 computations (26.4% saved)

prune536.0ms (2.6%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1180	8	1188
Fresh	2	13	15
Picked	0	1	1
Done	3	2	5
Total	1185	24	1209

Error

Counts

1209 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.1b	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
	15.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	31.4b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha)))))
	4.3b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	15.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	24.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
	15.4b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	42.1b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
✓	42.6b	(/.f64 (/.f64 alpha beta) beta)
	27.6b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	26.7b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	31.8b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	32.4b	(/.f64 (/.f64 1 beta) beta)
✓	30.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶	17.4b	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	43.8b	(/.f64 alpha (*.f64 beta beta))
	29.3b	(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
	28.7b	(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))))
	32.7b	(/.f64 1 (*.f64 beta beta))
	60.3b	(/.f64 1 beta)
▶	56.1b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
	34.1b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
▶	62.4b	(/.f64 1/2 alpha)

Compiler

Compiled 613 to 450 computations (26.6% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))

✓

0.1b

(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))

Compiler

Compiled 68 to 46 computations (32.4% saved)

series69.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
61.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
1.0ms	beta	@	0	(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))
1.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`+-commutative`
432×	`add-sqr-sqrt`
420×	`pow1`
420×	`*-un-lft-identity`
406×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	111
1	406	111
2	6478	111

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))

(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))

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

Outputs

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

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

simplify155.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-r`
1116×	`associate-/l*`
1082×	`distribute-lft-in`
1038×	`associate-l`
906×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	687	15326
1	2376	15040

Stop Event

1×	node limit

Counts

186 → 336

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 3))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 4 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha))))) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (+.f64 4 alpha)) (.f64 -1 (+.f64 3 alpha)))) (+.f64 (.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5))))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
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(/.f64 -1 beta)
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-1/2
(-.f64 (*.f64 -1/4 beta) 1/2)
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(-.f64 (+.f64 (.f64 -1/4 beta) (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))) 1/2)
-1
(-.f64 (/.f64 1 beta) 1)
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-1
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(.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (.f64 alpha alpha))) (-.f64 -2 (-.f64 beta alpha)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 alpha 3))) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (.f64 alpha (-.f64 -2 (-.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 2)) (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 2)) (/.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha)) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha)) 3) 1/3)
(pow.f64 (.f64 (-.f64 (-.f64 -2 beta) alpha) (.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 -1 beta)) (-.f64 beta -2))) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 2 (neg.f64 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 3) (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))))) 1)
(-.f64 (/.f64 -1 (.f64 (-.f64 beta -2) (+.f64 alpha (+.f64 3 beta)))) (/.f64 beta (.f64 (-.f64 beta -2) (+.f64 alpha (+.f64 3 beta)))))
(-.f64 (/.f64 (/.f64 -1 (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (/.f64 beta (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))))
(.f64 (-.f64 -1 beta) (.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))))
(.f64 (-.f64 -1 beta) (/.f64 1 (.f64 (-.f64 beta -2) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))))
(.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (/.f64 -1 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))
(*.f64 (/.f64 (-.f64 1 (neg.f64 beta)) (-.f64 beta -2)) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) 1) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (-.f64 (-.f64 alpha beta) 3))
(.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (fma.f64 alpha alpha (.f64 (+.f64 3 beta) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 -1 beta)) (-.f64 beta -2)) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (-.f64 -3 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(+.f64 (/.f64 -1 (-.f64 beta -2)) (neg.f64 (/.f64 beta (-.f64 beta -2))))
(+.f64 (neg.f64 (/.f64 beta (-.f64 beta -2))) (/.f64 -1 (-.f64 beta -2)))
(-.f64 (/.f64 -1 (-.f64 beta -2)) (/.f64 beta (-.f64 beta -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))) 1)
(*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(.f64 (sqrt.f64 (-.f64 -1 beta)) (.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 -1 beta))
(*.f64 (-.f64 1 (neg.f64 beta)) (/.f64 -1 (-.f64 beta -2)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta -2))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (-.f64 -1 beta) (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (-.f64 beta -2))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 beta -2) (-.f64 -1 beta)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (-.f64 beta -2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha)) (/.f64 (.f64 -1/4 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha)))
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(fma.f64 beta (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3)) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (/.f64 (+.f64 7 (.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha 3))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 -1 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (-.f64 -2 beta))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (/.f64 -1 (-.f64 -2 beta)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 -1 (.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (-.f64 -2 beta))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (-.f64 -1 beta) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (cbrt.f64 (+.f64 3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (-.f64 -1 beta) (.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 1)
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 2)
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 3)
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 3) 1/3)
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 -1 beta)) (-.f64 beta -2)) -1)
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (-.f64 -3 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta)))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) 3))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))) 1))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (+.f64 3 (+.f64 alpha beta))))
(+.f64 (/.f64 -1 (-.f64 beta -2)) (neg.f64 (/.f64 beta (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(+.f64 (neg.f64 (/.f64 beta (-.f64 beta -2))) (/.f64 -1 (-.f64 beta -2)))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(-.f64 (/.f64 -1 (-.f64 beta -2)) (/.f64 beta (-.f64 beta -2)))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))) 1)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 1)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(.f64 (sqrt.f64 (-.f64 -1 beta)) (.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(.f64 (sqrt.f64 (-.f64 -1 beta)) (.f64 (/.f64 -1 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -1 beta))))
(.f64 (/.f64 -1 (-.f64 -2 beta)) (.f64 (sqrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (.f64 (/.f64 -1 (-.f64 -2 beta)) (cbrt.f64 (-.f64 -1 beta))))
(.f64 (/.f64 -1 (-.f64 -2 beta)) (.f64 (cbrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2)))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 -1 beta))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))
(*.f64 (-.f64 1 (neg.f64 beta)) (/.f64 -1 (-.f64 beta -2)))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta -2))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (fma.f64 beta beta -4)) (+.f64 beta -2))
(.f64 (/.f64 (-.f64 -1 beta) (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(/.f64 (.f64 (-.f64 -1 beta) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 2 beta)))
(/.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (+.f64 2 beta) (sqrt.f64 (-.f64 -1 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 beta -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (+.f64 2 beta)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (+.f64 2 beta) (cbrt.f64 (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (-.f64 beta -2))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 beta -2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 1)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 2)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 3)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3) 1/3)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(pow.f64 (/.f64 (-.f64 beta -2) (-.f64 -1 beta)) -1)
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(neg.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) 3))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (-.f64 beta -2) 3)))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) 1))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))))
(/.f64 (-.f64 -1 beta) (+.f64 2 beta))

localize5.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	0	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	inf	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	inf	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-*r/`
1000×	`associate-*l/`
918×	`*-commutative`
810×	`distribute-lft-in`
506×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	209	19
2	2823	19

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (neg.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 -3 (*.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (sqrt.f64 (+.f64 beta 3)) (neg.f64 (sqrt.f64 (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (cbrt.f64 (+.f64 beta 3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 alpha (+.f64 beta 3)) (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`distribute-lft-in`
1028×	`times-frac`
918×	`distribute-rgt-in`
814×	`associate-/l*`
798×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3540
1	665	3482
2	2530	3450

Stop Event

1×	node limit

Counts

74 → 124

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 beta 3))
(+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (.f64 1/2 (/.f64 1 (+.f64 beta 3))))
(+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (.f64 1/2 (/.f64 1 (+.f64 beta 3))))))
(/.f64 1/2 alpha)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))))
(/.f64 1/2 alpha)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))))
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 4))))))
(/.f64 1/2 beta)
(+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(/.f64 1/2 beta)
(+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (neg.f64 (+.f64 beta 3))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 -3 (*.f64 -1 beta))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (sqrt.f64 (+.f64 beta 3)) (neg.f64 (sqrt.f64 (+.f64 beta 3))))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (cbrt.f64 (+.f64 beta 3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 alpha alpha)) (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))) 1)
(*.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (-.f64 alpha (+.f64 beta 3)) (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/2)
(.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)
(.f64 (/.f64 1/2 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))
(.f64 (/.f64 1/2 (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 -1/2 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))

Outputs
(/.f64 1/2 (+.f64 beta 3))
(+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (.f64 1/2 (/.f64 1 (+.f64 beta 3))))
(fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (/.f64 1/2 (+.f64 beta 3)))
(+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3)))))
(fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 3)) (/.f64 1/2 (+.f64 beta 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (.f64 1/2 (/.f64 1 (+.f64 beta 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4)) (fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 3)) (/.f64 1/2 (+.f64 beta 3)))))
(/.f64 1/2 alpha)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))
(fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))))
(/.f64 1/2 alpha)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))
(fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 alpha)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))))
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))))
(fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1/2 (+.f64 3 alpha)))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 1/2 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 3)) (.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (.f64 (/.f64 1/2 (pow.f64 (+.f64 3 alpha) 3)) (.f64 beta beta))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 4))))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 1/2 (/.f64 (.f64 beta beta) (pow.f64 (+.f64 3 alpha) 3)) (.f64 -1/2 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 4))))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 -1/2 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 4))) (.f64 (/.f64 1/2 (pow.f64 (+.f64 3 alpha) 3)) (.f64 beta beta))))
(/.f64 1/2 beta)
(+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1/2 beta) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta))))
(fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (*.f64 beta beta)) (/.f64 1/2 beta))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 (/.f64 -1/2 (.f64 beta beta)) (+.f64 3 alpha))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4)) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (/.f64 1/2 beta)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4)))))
(/.f64 1/2 beta)
(+.f64 (.f64 1/2 (/.f64 1 beta)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1/2 beta) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta))))
(fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (*.f64 beta beta)) (/.f64 1/2 beta))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)))))
(+.f64 (/.f64 1/2 beta) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 (/.f64 -1/2 (.f64 beta beta)) (+.f64 3 alpha))))
(+.f64 (.f64 1/2 (/.f64 1 beta)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4)) (.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 beta) (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 alpha) (.f64 beta beta)) (/.f64 1/2 beta)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)) (.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4)))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 (+.f64 beta 3) alpha)) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 -3 (neg.f64 beta)) 1 (+.f64 beta 3))))
(fma.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (+.f64 beta 3) (-.f64 -3 beta)) (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 beta 3) 0) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 (+.f64 beta 3) alpha)) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 -3 (neg.f64 beta)) 1 (+.f64 beta 3))))
(fma.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (+.f64 beta 3) (-.f64 -3 beta)) (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 beta 3) 0) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 (+.f64 beta 3) alpha)) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 -3 (neg.f64 beta)) 1 (+.f64 beta 3))))
(fma.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (+.f64 beta 3) (-.f64 -3 beta)) (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 beta 3) 0) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (neg.f64 (+.f64 beta 3))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 -3 (*.f64 -1 beta))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (sqrt.f64 (+.f64 beta 3)) (neg.f64 (sqrt.f64 (+.f64 beta 3))))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (cbrt.f64 (+.f64 beta 3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 alpha alpha)) (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(+.f64 (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 alpha alpha)))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))) 1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(.f64 (-.f64 alpha (+.f64 beta 3)) (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/2)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(*.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))
(/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 1/2 (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2))
(/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2) (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(.f64 (/.f64 1/2 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 1/2 (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(/.f64 (*.f64 1/2 (+.f64 alpha (+.f64 beta -3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) 1/2) -3/2) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9))
(/.f64 1/2 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9) (+.f64 beta (+.f64 alpha -3))))
(.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))
(.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (+.f64 9 (.f64 -3 (+.f64 beta alpha)))))
(.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) 9) (.f64 -3 (+.f64 beta alpha))))
(.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 9 (.f64 (+.f64 beta alpha) (-.f64 3 (+.f64 beta alpha)))))
(.f64 (/.f64 -1/2 (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))
(.f64 (/.f64 1/2 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 1/2 (.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))) (sqrt.f64 (+.f64 (-.f64 alpha beta) -3)))
(.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (sqrt.f64 (+.f64 -3 (-.f64 alpha beta))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 3) 3/2))) (sqrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (.f64 alpha alpha))))
(.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (sqrt.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (.f64 alpha alpha))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 3) 3/2))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 (-.f64 alpha beta) -3))))
(.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (cbrt.f64 (+.f64 -3 (-.f64 alpha beta))) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha))))
(pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 (+.f64 beta 3) alpha) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 beta (+.f64 3 alpha)) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	inf	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	inf	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms	beta	@	0	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`distribute-rgt-in`
1066×	`distribute-lft-in`
982×	`associate-/r/`
750×	`associate-/l/`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	215	25
2	3302	25

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

Inputs
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))

Outputs

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

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-/r/`
850×	`unswap-sqr`
718×	`associate-+r+`
676×	`+-commutative`
648×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	5634
1	1142	5430
2	4550	5294

Stop Event

1×	node limit

Counts

110 → 221

Calls

Call 1

Inputs
(/.f64 alpha (*.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (/.f64 alpha (*.f64 beta (+.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 alpha (.f64 beta (+.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) (.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (.f64 beta (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 (pow.f64 alpha 4) (.f64 beta (pow.f64 (+.f64 beta 3) 4)))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 beta)) 1) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (.f64 (+.f64 (.f64 3 (/.f64 1 beta)) 1) (+.f64 beta 3)) (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 beta)) 1) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 beta)) 1)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 beta)) 1) alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 beta (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 3) (.f64 beta alpha))) (.f64 -1 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3)))))))
(/.f64 alpha (*.f64 beta (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (.f64 beta (+.f64 3 alpha))))
(+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 3 alpha) 4))) (+.f64 (/.f64 (.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) alpha) (pow.f64 beta 4)))))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 (.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 3 alpha) 3) alpha) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) alpha) (pow.f64 beta 4)))))
(+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (neg.f64 beta) -3)))
(+.f64 (.f64 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 alpha alpha)) (.f64 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (.f64 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (.f64 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (.f64 alpha alpha)))
(+.f64 (.f64 alpha (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (.f64 (+.f64 (neg.f64 beta) -3) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (.f64 (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))) (.f64 (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))))
(+.f64 (.f64 (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))) (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))) (.f64 (.f64 alpha alpha) (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))) 1)
(.f64 alpha (.f64 (/.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(.f64 alpha (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 alpha beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(.f64 (/.f64 alpha beta) (/.f64 (-.f64 (-.f64 alpha 3) beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(.f64 (/.f64 alpha beta) (/.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 1 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(.f64 (sqrt.f64 (/.f64 alpha beta)) (.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 (sqrt.f64 (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (.f64 (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 alpha beta))
(*.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(.f64 (/.f64 alpha 1) (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 alpha beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 3))) (/.f64 1 beta))
(.f64 (/.f64 1 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 alpha beta) (-.f64 (-.f64 alpha 3) beta)))
(.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (.f64 (/.f64 alpha beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha 3) beta))
(.f64 (/.f64 alpha (.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 1 (.f64 beta (+.f64 alpha (+.f64 beta 3)))) alpha)
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 alpha) beta))
(.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)))
(.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1 (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 alpha beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 alpha beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (/.f64 alpha beta) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha 3) beta)))
(.f64 (/.f64 (/.f64 alpha beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 alpha beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(.f64 (/.f64 (/.f64 alpha beta) (-.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 alpha beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) alpha)) (/.f64 1 beta))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2))) (cbrt.f64 (/.f64 alpha beta)))
(.f64 (/.f64 (sqrt.f64 alpha) (.f64 beta (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (/.f64 alpha beta)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (.f64 beta (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) alpha)
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 alpha beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (neg.f64 beta)) (neg.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta 1)) alpha)
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (sqrt.f64 alpha))) (sqrt.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(.f64 (/.f64 (neg.f64 (/.f64 alpha beta)) (neg.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha 3) beta))
(.f64 (/.f64 (neg.f64 (/.f64 alpha beta)) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(.f64 (/.f64 (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(pow.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta alpha)) -1)
(neg.f64 (/.f64 alpha (*.f64 (-.f64 -3 (+.f64 alpha beta)) beta)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))))

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

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓	17.3b	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 60 to 37 computations (38.3% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	0	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	0	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms	alpha	@	inf	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1886×	`associate-/l*`
450×	`associate-+l+`
432×	`+-commutative`
398×	`add-sqr-sqrt`
386×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	385	45
2	5729	45

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Outputs

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

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-lft-in`
630×	`distribute-rgt-in`
582×	`associate-/l/`
564×	`fma-def`
502×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	7302
1	1255	6596
2	6037	6544

Stop Event

1×	node limit

Counts

66 → 141

Calls

Call 1

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

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

eval594.0ms (2.9%)

Compiler: Compiled 34258 to 24608 computations (28.2% saved)

prune259.0ms (1.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	958	7	965
Fresh	3	13	16
Picked	1	0	1
Done	2	5	7
Total	964	25	989

Error

Counts

989 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	4.0b	(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha))
	15.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	33.2b	(/.f64 (/.f64 (-.f64 (*.f64 -1/4 beta) 1/2) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
	4.3b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	23.3b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	15.4b	(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	24.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
	15.4b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓	42.1b	(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
✓	42.6b	(/.f64 (/.f64 alpha beta) beta)
	27.6b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	26.7b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
	31.8b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	32.4b	(/.f64 (/.f64 1 beta) beta)
	34.1b	(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
	31.8b	(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
✓	30.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	17.4b	(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
	43.8b	(/.f64 alpha (*.f64 beta beta))
	29.3b	(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
	28.7b	(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))))
	32.7b	(/.f64 1 (*.f64 beta beta))
	56.1b	(/.f64 1/2 (+.f64 beta 3))
✓	62.4b	(/.f64 1/2 alpha)
	60.3b	(/.f64 1/4 beta)

Compiler

Compiled 323 to 238 computations (26.3% saved)

regimes256.0ms (1.3%)

Counts

50 → 1

Calls

Call 1

Inputs
(/.f64 1/4 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 (*.f64 -1/4 beta) 1/2) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (.f64 beta (neg.f64 (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(pow.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))) (+.f64 alpha 1))) -1)

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

Calls

3 calls:

206.0ms

alpha

21.0ms

beta

12.0ms

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

Results

Error	Segments	Branch
0.1b	1	`alpha`
0.1b	1	`beta`
0.1b	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`

Compiler

Compiled 776 to 509 computations (34.4% saved)

regimes271.0ms (1.3%)

Counts

42 → 2

Calls

Call 1

Inputs
(/.f64 1/4 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 (*.f64 -1/4 beta) 1/2) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha)))))
(.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Outputs

(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1))

(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

225.0ms	beta
35.0ms	alpha

Results

Error	Segments	Branch
0.3b	2	`alpha`
0.1b	2	`beta`

Compiler

Compiled 516 to 341 computations (33.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	26133122.580946982	8074396196.595729

Results

10.0ms

64×

body

256

valid

Compiler

Compiled 234 to 168 computations (28.2% saved)

regimes191.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

Inputs
(/.f64 1/4 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 (*.f64 -1/4 beta) 1/2) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)) (+.f64 alpha (+.f64 3 beta))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha)))))

Outputs
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

117.0ms	alpha
64.0ms	beta

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.6b	2	`beta`

Compiler

Compiled 466 to 309 computations (33.7% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	26133122.580946982	8074396196.595729

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 82 to 58 computations (29.3% saved)

regimes137.0ms (0.7%)

Counts

31 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

54.0ms	beta
28.0ms	alpha

Results

Error	Segments	Branch
1.2b	2	`alpha`
0.6b	2	`beta`

Compiler

Compiled 291 to 193 computations (33.7% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	26133122.580946982	8074396196.595729

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 346 to 260 computations (24.9% saved)

regimes128.0ms (0.6%)

Counts

29 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))

Calls

2 calls:

56.0ms	alpha
50.0ms	beta

Results

Error	Segments	Branch
1.2b	2	`alpha`
0.7b	2	`beta`

Compiler

Compiled 257 to 169 computations (34.2% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1959128159167767.3	104179310250042540.0

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes184.0ms (0.9%)

Counts

27 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha))

Calls

2 calls:

95.0ms	beta
82.0ms	alpha

Results

Error	Segments	Branch
11.9b	4	`alpha`
1.3b	2	`beta`

Compiler

Compiled 225 to 147 computations (34.7% saved)

bsearch69.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	2.875562251612824e-5	2805.5651525255803

Results

65.0ms

144×

body

256

valid

Compiler

Compiled 348 to 262 computations (24.7% saved)

regimes75.0ms (0.4%)

Counts

26 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

45.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
12.0b	4	`alpha`
1.4b	2	`beta`

Compiler

Compiled 210 to 137 computations (34.8% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.875562251612824e-5	2805.5651525255803

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes113.0ms (0.6%)

Counts

24 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

85.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
16.0b	6	`alpha`
1.7b	2	`beta`

Compiler

Compiled 182 to 117 computations (35.7% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.875562251612824e-5	2805.5651525255803

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 294 to 217 computations (26.2% saved)

regimes104.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))

Calls

2 calls:

61.0ms	alpha
39.0ms	beta

Results

Error	Segments	Branch
15.2b	7	`alpha`
2.0b	2	`beta`

Compiler

Compiled 147 to 94 computations (36.1% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	2.875562251612824e-5	2805.5651525255803

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes86.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

Outputs
(/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))

Calls

2 calls:

63.0ms	alpha
17.0ms	beta

Results

Error	Segments	Branch
16.7b	6	`alpha`
2.0b	2	`beta`

Compiler

Compiled 125 to 78 computations (37.6% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	2.875562251612824e-5	2805.5651525255803

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 258 to 199 computations (22.9% saved)

regimes105.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))

Calls

2 calls:

82.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
16.8b	8	`alpha`
2.0b	2	`beta`

Compiler

Compiled 98 to 60 computations (38.8% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.875562251612824e-5	2805.5651525255803

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 258 to 199 computations (22.9% saved)

regimes110.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

68.0ms	alpha
38.0ms	beta

Results

Error	Segments	Branch
16.8b	9	`alpha`
2.0b	3	`beta`

Compiler

Compiled 89 to 54 computations (39.3% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	8.473779387835307e+151	6.527155409779544e+155
22.0ms	2.875562251612824e-5	2805.5651525255803

Results

58.0ms

272×

body

256

valid

Compiler

Compiled 384 to 277 computations (27.9% saved)

regimes40.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(/.f64 1/2 (+.f64 beta 3))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

23.0ms	beta
14.0ms	alpha

Results

Error	Segments	Branch
29.3b	2	`alpha`
24.6b	3	`beta`

Compiler

Compiled 80 to 47 computations (41.3% saved)

bsearch42.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	8.473779387835307e+151	6.527155409779544e+155
22.0ms	2.875562251612824e-5	2805.5651525255803

Results

39.0ms

272×

body

256

valid

Compiler

Compiled 348 to 250 computations (28.2% saved)

regimes32.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(/.f64 1/2 (+.f64 beta 3))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

18.0ms	beta
12.0ms	alpha

Results

Error	Segments	Branch
30.0b	2	`alpha`
27.7b	2	`beta`

Compiler

Compiled 59 to 36 computations (39% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	2.875562251612824e-5	2805.5651525255803

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes29.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

14.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
31.3b	2	`alpha`
28.0b	2	`beta`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch28.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	2.875562251612824e-5	2805.5651525255803

Results

26.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes9.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 1/4 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/2 (+.f64 beta 3))

Outputs
(/.f64 1/2 (+.f64 beta 3))

Calls

2 calls:

4.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
56.1b	1	`alpha`
56.1b	1	`beta`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes13.0ms (0.1%)

Accuracy

Total -2.2b remaining (-3.6%)

Threshold costs -2.2b (-3.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 1/4 beta)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)

Outputs
(/.f64 1/4 beta)

Calls

2 calls:

4.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
60.3b	1	`alpha`
60.3b	1	`beta`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify28.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
16×	`*-commutative`
10×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1155
1	147	1155
2	154	1155
3	158	1155
4	160	1155

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1000000000) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 50000000) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 46000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha)))
(if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha)))
(if (<=.f64 beta 4) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 15/2) (/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 19/2) (/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 13/2) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (if (<=.f64 beta 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (if (<=.f64 beta 19500000000000001390331709227966727879384722017778221341565296186125884491148445779449368489233072375938370257494605722061697068866577721679028936205402112) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1/4 beta)

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1000000000) (.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta 1)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1000000000) (.f64 (+.f64 1 beta) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 50000000) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)) (+.f64 3 beta)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 50000000) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 46000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 46000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha)))
(if (<=.f64 beta 2000000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (+.f64 beta 2) alpha)))
(if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(if (<=.f64 beta 4) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4) (/.f64 (+.f64 1/2 (.f64 beta 1/4)) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 15/2) (/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 19/2) (/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 19/2) (/.f64 (/.f64 -1/2 (+.f64 alpha 3)) (-.f64 (-.f64 -2 beta) alpha)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 alpha 1) beta))))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 2 alpha)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 3)) (+.f64 alpha 2)) (/.f64 1 (/.f64 beta (/.f64 (+.f64 alpha 1) beta))))
(if (<=.f64 beta 13/2) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta))))
(if (<=.f64 beta 13/2) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 1 (/.f64 beta (/.f64 (+.f64 alpha 1) beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (if (<=.f64 beta 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/2 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (if (<=.f64 beta 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (if (<=.f64 beta 19500000000000001390331709227966727879384722017778221341565296186125884491148445779449368489233072375938370257494605722061697068866577721679028936205402112) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (if (<=.f64 beta 19500000000000001390331709227966727879384722017778221341565296186125884491148445779449368489233072375938370257494605722061697068866577721679028936205402112) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/2 (+.f64 beta 3))
(/.f64 1/4 beta)

Compiler

Compiled 457 to 331 computations (27.6% saved)

soundness1.6s (7.7%)

Algorithm

3×	egg-herbie

Rules

8048×	`associate-+r+`
8048×	`associate-+r+`
2246×	`associate-/l*`
2246×	`associate-/l*`
1530×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73
0	16	79
1	38	75
2	117	75
3	494	73
4	2614	73
5	3312	73
6	3575	73
7	4028	73
8	4449	73
9	4462	73
10	4697	73
11	4824	73
12	4967	73
13	5267	73
14	5933	73
15	6131	73
16	6154	73
17	6161	73
18	6168	73
19	6175	73
20	6182	73
21	6189	73
22	6196	73
23	6203	73
24	7340	73
25	7347	73
26	7354	73
27	7361	73
28	7368	73
29	7375	73
30	7382	73
31	7389	73
32	7396	73
33	7403	73
34	7410	73
35	7417	73
36	7424	73
37	7431	73
38	7438	73
39	7445	73
0	962	25241
1	3392	25049

Stop Event

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

Compiler

Compiled 526 to 330 computations (37.3% saved)

end227.0ms (1.1%)

Compiler: Compiled 521 to 363 computations (30.3% saved)