Details

analyze50.0ms (0.2%)

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)

sample1.7s (8.1%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess351.0ms (1.6%)

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)

simplify655.0ms (3%)

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)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	5	4	9
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	4	10

Error

0.1b

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(/.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)))
▶	12.3b	(/.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)))))
▶	2.6b	(/.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 111 to 74 computations (33.3% saved)

localize31.0ms (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))
✓	2.5b	(/.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
3.0ms	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	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	@	-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))))

rewrite120.0ms (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 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 1 beta))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (-.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 (+.f64 alpha 1) (+.f64 alpha 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(.f64 (.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 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beta 3))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))))

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1706×	`associate-r`
1588×	`associate-l`
1408×	`+-commutative`
1156×	`associate-+r+`
884×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	959	23816
1	3408	23152

Stop Event

1×	node limit

Counts

288 → 507

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

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

localize316.0ms (1.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	12.2b	(/.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)))))

New

Error

Program

0.0b

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

✓

0.0b

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

✓

12.2b

(/.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)))))

Compiler

Compiled 95 to 58 computations (38.9% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	0	(/.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)))))
2.0ms	beta	@	-inf	(/.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)))))
1.0ms	alpha	@	-inf	(/.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)))))
1.0ms	alpha	@	0	(/.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)))))
0.0ms	beta	@	inf	(/.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)))))

rewrite117.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`associate-+l+`
596×	`+-commutative`
548×	`associate-+r+`
454×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	429	100
2	6687	100

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Inputs

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

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

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1202×	`distribute-lft-in`
1110×	`distribute-rgt-in`
724×	`+-commutative`
706×	`associate-r`
692×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	507	15326
1	1831	14730

Stop Event

1×	node limit

Counts

132 → 247

Calls

Call 1

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

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

localize35.0ms (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 2)) (/.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))))
✓	0.1b	(/.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)))

Compiler

Compiled 97 to 65 computations (33% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite115.0ms (0.5%)

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

simplify198.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-r`
1424×	`associate-l`
1400×	`+-commutative`
1096×	`associate-+r+`
776×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	961	25429
1	3442	25237

Stop Event

1×	node limit

Counts

265 → 510

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

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

localize64.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

2.5b

(/.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))))

✓

3.1b

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

Compiler

Compiled 93 to 46 computations (50.5% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite190.0ms (0.9%)

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

simplify209.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1200×	`+-commutative`
1018×	`associate-r`
974×	`*-commutative`
890×	`associate-+r+`
880×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	828	21216
1	2881	21036

Stop Event

1×	node limit

Counts

240 → 409

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

eval2.2s (10.1%)

Compiler: Compiled 90600 to 64083 computations (29.3% saved)

prune526.0ms (2.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1759	19	1778
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	1762	20	1782

Error

Counts

1782 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	4.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
	3.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
▶	33.6b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
	6.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	62.8b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
	29.5b	(/.f64 (/.f64 (+.f64 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 alpha (+.f64 beta 3)))
	23.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	29.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	16.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) (+.f64 beta (+.f64 2 alpha)))
▶	2.6b	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	62.5b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
▶	27.4b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	28.6b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))
✓	2.6b	(/.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))))
	0.1b	(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
	10.1b	(/.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)))
	2.3b	(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))

Compiler

Compiled 989 to 691 computations (30.1% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 60 computations (42.3% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`+-commutative`
516×	`add-sqr-sqrt`
500×	`pow1`
500×	`*-un-lft-identity`
484×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	196
1	495	196
2	7801	196

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-r`
1412×	`associate-l`
1356×	`+-commutative`
1124×	`associate-+r+`
792×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	28074
1	3416	27838

Stop Event

1×	node limit

Counts

274 → 517

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.3%)

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

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

776×	`associate-*r/`
668×	`associate-+r+`
564×	`associate-*l/`
520×	`associate-+l+`
510×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1811
1	259	1791
2	925	1499
3	4672	1217

Stop Event

1×	node limit

Counts

57 → 51

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

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

localize17.0ms (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)))
✓	2.5b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 52 to 30 computations (42.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))))

rewrite78.0ms (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 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 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 alpha (+.f64 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 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 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 alpha (+.f64 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 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))))

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/l/`
668×	`distribute-lft-in`
604×	`distribute-rgt-in`
488×	`associate-+l-`
486×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	6982
1	1181	6548
2	5764	6504

Stop Event

1×	node limit

Counts

66 → 144

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New

Error

Program

✓

2.6b

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

3.1b

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

Compiler

Compiled 71 to 32 computations (54.9% saved)

series51.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
1.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))
0.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 beta beta))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`associate-+l+`
492×	`+-commutative`
432×	`associate-+r+`
384×	`add-sqr-sqrt`
376×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	362	51
2	5867	51

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1882×	`associate-/l*`
1480×	`associate-/r*`
1030×	`associate--l+`
882×	`*-commutative`
584×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	6343
1	994	6185
2	4176	6185

Stop Event

1×	node limit

Counts

65 → 152

Calls

Call 1

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.2b	(*.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))
✓	2.5b	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 111 to 73 computations (34.2% saved)

series53.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	alpha	@	-inf	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.0ms	beta	@	0	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.0ms	alpha	@	0	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	-inf	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms	beta	@	inf	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`associate-+l+`
518×	`+-commutative`
440×	`add-sqr-sqrt`
434×	`associate-+r+`
430×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	416	117
2	6648	117

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify185.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1162×	`+-commutative`
960×	`associate-+r+`
834×	`associate-r`
812×	`distribute-lft-in`
778×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	770	19832
1	2544	19656

Stop Event

1×	node limit

Counts

168 → 317

Calls

Call 1

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

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

eval1.9s (8.8%)

Compiler: Compiled 82083 to 58173 computations (29.1% saved)

prune551.0ms (2.6%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1640	17	1657
Fresh	7	7	14
Picked	1	0	1
Done	3	2	5
Total	1651	26	1677

Error

Counts

1677 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(pow.f64 beta -2)
	25.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
▶	4.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
	3.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
	6.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
	18.3b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (*.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha -2))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))) (+.f64 alpha (+.f64 beta 3)))
	29.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
	23.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	29.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
▶	16.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶	29.4b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	5.3b	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	27.5b	(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	62.3b	(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
	2.6b	(/.f64 (.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
	28.6b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))
✓	2.6b	(/.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))))
	44.9b	(/.f64 alpha (*.f64 beta beta))
▶	0.5b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))))
	29.7b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	34.6b	(/.f64 1 (*.f64 beta beta))
▶	62.4b	(/.f64 1 alpha)
	32.3b	(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
	30.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Compiler

Compiled 1016 to 711 computations (30% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))
✓	0.0b	(*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))
✓	0.0b	(.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha))))
✓	0.5b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))))

Compiler

Compiled 125 to 74 computations (40.8% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`+-commutative`
532×	`add-sqr-sqrt`
516×	`pow1`
516×	`*-un-lft-identity`
498×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	232
1	514	232
2	7923	232

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

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

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1536×	`associate-r`
1456×	`associate-l`
1224×	`associate-+r+`
1202×	`associate-+l+`
504×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	29759
1	3543	29483

Stop Event

1×	node limit

Counts

271 → 502

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`associate-/r*`
996×	`*-commutative`
886×	`associate-/l*`
668×	`associate-/r/`
556×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	227	38
2	2983	38

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta -2) (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (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 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (+.f64 beta 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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beta 3))))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))))))

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-/l/`
728×	`associate-r`
712×	`associate-l`
708×	`+-commutative`
610×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	429	6241
1	1320	5589
2	6034	5589

Stop Event

1×	node limit

Counts

163 → 249

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (+.f64 (.f64 -1/9 beta) (.f64 1/27 (pow.f64 beta 2))))
(+.f64 (.f64 -1/81 (pow.f64 beta 3)) (+.f64 1/3 (+.f64 (.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(+.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta -2))) (.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (.f64 -2 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 4 (.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))) 1)
(.f64 1 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)
(.f64 (sqrt.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)))
(.f64 (cbrt.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2))
(.f64 (cbrt.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(.f64 (+.f64 beta -2) (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 -1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta)))
(.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(.f64 (/.f64 1 (fma.f64 beta beta -4)) (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -2)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 1 (.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (+.f64 beta 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 1 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9))) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 beta -2) (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 1 (.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (.f64 (+.f64 beta -3) (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 1 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 4 (.f64 beta (+.f64 beta -2))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 4 (.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -3 beta)) -1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (.f64 beta (+.f64 beta -2))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta 2)) -1) (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 beta 2)) -1) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(.f64 (/.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(.f64 (/.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)
(neg.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(neg.f64 (.f64 (/.f64 1 (.f64 (+.f64 beta 3) (-.f64 -2 beta))) 1))
(neg.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 3) -2) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 3))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 beta beta -9)) beta) (.f64 (/.f64 1 (fma.f64 beta beta -9)) -3))
(+.f64 (.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (.f64 beta beta)) (.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta -3))))
(+.f64 (.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta -3))) (.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (.f64 beta beta)))
(+.f64 (.f64 beta (/.f64 1 (fma.f64 beta beta -9))) (.f64 -3 (/.f64 1 (fma.f64 beta beta -9))))
(+.f64 (.f64 (.f64 beta beta) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (.f64 (+.f64 9 (.f64 beta -3)) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))))
(+.f64 (.f64 (+.f64 9 (.f64 beta -3)) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (.f64 (.f64 beta beta) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 3)) 1)
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))))))
(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (/.f64 1 (+.f64 27 (pow.f64 beta 3))))
(*.f64 (/.f64 -1 (+.f64 beta 3)) -1)
(*.f64 -1 (/.f64 -1 (+.f64 beta 3)))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)) (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(.f64 (/.f64 1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(.f64 (/.f64 1 (-.f64 9 (.f64 beta beta))) (-.f64 3 beta))
(.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (+.f64 27 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(.f64 (/.f64 -1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (.f64 beta (+.f64 beta -3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 9 (.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (fma.f64 beta beta -9))) (cbrt.f64 (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 beta -3) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 81)) (+.f64 9 (*.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta -3) (-.f64 (pow.f64 (.f64 beta beta) 3) 729)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 81 (.f64 9 (*.f64 beta beta)))))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 729)) (-.f64 (pow.f64 beta 3) 27))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 729 (.f64 27 (pow.f64 beta 3)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 -1 (+.f64 beta 3))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) 1/3)
(neg.f64 (/.f64 -1 (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (.f64 19/216 (.f64 beta beta)))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (.f64 19/216 (.f64 beta beta))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (.f64 beta (.f64 beta 19/216))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 19 (pow.f64 beta 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 65 (pow.f64 beta 5))) (/.f64 -5 (pow.f64 beta 3))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 19 (pow.f64 beta 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(+.f64 (+.f64 (/.f64 19 (pow.f64 beta 4)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 65 (pow.f64 beta 5))) (/.f64 -5 (pow.f64 beta 3))))
1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (*.f64 beta -1/9))
(fma.f64 beta -1/9 1/3)
(+.f64 1/3 (+.f64 (.f64 -1/9 beta) (.f64 1/27 (pow.f64 beta 2))))
(+.f64 1/3 (fma.f64 -1/9 beta (.f64 1/27 (.f64 beta beta))))
(+.f64 (fma.f64 beta -1/9 1/3) (.f64 beta (.f64 beta 1/27)))
(+.f64 (.f64 -1/81 (pow.f64 beta 3)) (+.f64 1/3 (+.f64 (.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2)))))
(fma.f64 -1/81 (pow.f64 beta 3) (+.f64 1/3 (fma.f64 -1/9 beta (.f64 1/27 (.f64 beta beta)))))
(+.f64 (fma.f64 beta -1/9 (.f64 beta (.f64 beta 1/27))) (fma.f64 (pow.f64 beta 3) -1/81 1/3))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 9 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 9 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
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(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 beta beta -9))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 beta -3) (-.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) 81)) (+.f64 9 (*.f64 beta beta)))
(.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 4) -81)) (+.f64 9 (.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 4) -81)) (fma.f64 beta beta 9))
(.f64 (/.f64 (+.f64 beta -3) (-.f64 (pow.f64 (.f64 beta beta) 3) 729)) (+.f64 (.f64 (.f64 beta beta) (.f64 beta beta)) (+.f64 81 (.f64 9 (*.f64 beta beta)))))
(.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 4) (+.f64 81 (.f64 9 (*.f64 beta beta)))))
(.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 4) (fma.f64 9 (.f64 beta beta) 81)))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 729)) (-.f64 (pow.f64 beta 3) 27))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 3) -27))
(*.f64 (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 3) -27))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 729 (.f64 27 (pow.f64 beta 3)))))
(.f64 (/.f64 (+.f64 9 (.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (-.f64 (+.f64 (pow.f64 beta 6) 729) (*.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 729 (+.f64 (.f64 (pow.f64 beta 3) -27) (pow.f64 beta 6))))
(/.f64 (.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 729 (-.f64 (pow.f64 beta 6) (.f64 (pow.f64 beta 3) 27)))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 -1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))) (pow.f64 (+.f64 beta 3) -1/2))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) 3)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(neg.f64 (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (+.f64 beta 3))
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(/.f64 1 (+.f64 beta 3))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

✓

0.3b

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

series7.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`associate-+l+`
494×	`+-commutative`
414×	`add-sqr-sqrt`
404×	`pow1`
404×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	392	74
2	6251	74

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

826×	`distribute-lft-in`
780×	`associate-r`
760×	`distribute-rgt-in`
692×	`*-commutative`
610×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	10184
1	1705	9494

Stop Event

1×	node limit

Counts

122 → 199

Calls

Call 1

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

Outputs
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(fma.f64 alpha (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 alpha (+.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 beta 4))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 alpha (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 2 (+.f64 5 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 beta)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (neg.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 1/4 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (.f64 2 (.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (/.f64 (.f64 1/4 (+.f64 (.f64 beta 2) 7)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha))))
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1/2
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(fma.f64 alpha 1/4 1/2)
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1
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha))))))))
(pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 1)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 2)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 3)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3) 1/3)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 2)))) -1)
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 alpha (+.f64 2 beta))))))
(.f64 (/.f64 (-.f64 -1 alpha) (+.f64 2 alpha)) (/.f64 1 (.f64 (+.f64 (+.f64 beta 3) alpha) (neg.f64 (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (-.f64 -1 alpha) (.f64 (+.f64 beta (+.f64 3 alpha)) (.f64 (+.f64 (-.f64 -2 alpha) (neg.f64 beta)) (+.f64 2 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) 2))
(fabs.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha))))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))))) 3))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta))) 3)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 2 beta)))))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 beta (+.f64 3 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(.f64 (sqrt.f64 (+.f64 1 alpha)) (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -2 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(.f64 (/.f64 (+.f64 1 alpha) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (+.f64 alpha 1) (-.f64 4 (.f64 alpha alpha))) (-.f64 2 alpha))
(.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (.f64 alpha (-.f64 alpha 2))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (.f64 alpha (+.f64 alpha -2))))
(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 alpha))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 3)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) 1/3)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(pow.f64 (/.f64 (+.f64 alpha 2) (+.f64 1 alpha)) -1)
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(neg.f64 (/.f64 (+.f64 1 alpha) (-.f64 -2 alpha)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -2 alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)) 2))
(fabs.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 alpha)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 2 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 alpha))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha 2))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 2 alpha))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 (+.f64 alpha 1) (+.f64 2 alpha))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.0b	(.f64 (+.f64 5 (.f64 2 beta)) alpha)
✓	2.5b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
	3.1b	(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))

Compiler

Compiled 122 to 73 computations (40.2% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
2.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`add-sqr-sqrt`
552×	`pow1`
552×	`*-un-lft-identity`
530×	`add-exp-log`
530×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	121
1	537	121

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

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

(*.f64 (+.f64 5 (*.f64 2 beta)) alpha)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 5 (*.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 5 (*.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 5 (*.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 5 (*.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 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beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))))

simplify212.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1288×	`distribute-lft-in`
1128×	`distribute-rgt-in`
788×	`associate-r`
782×	`*-commutative`
732×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	16291
1	2116	16113

Stop Event

1×	node limit

Counts

143 → 240

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.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 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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.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 -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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2))) (-.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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.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 -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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 5 (.f64 2 beta)) alpha))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2))) (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)))) (+.f64 5 (.f64 2 beta)))) (pow.f64 alpha 3))) (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2))) (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)))) (+.f64 5 (.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (+.f64 5 (.f64 2 beta))))) (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (+.f64 beta 3) (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 5 (.f64 2 beta)))) (pow.f64 alpha 4)))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 2))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 5 (.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 5 (.f64 2 beta)) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 3))))))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 5 (.f64 2 beta)) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 5 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 5 (.f64 2 beta)) 2) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 5 (.f64 2 beta))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2)) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (.f64 2 beta))) (/.f64 1 (+.f64 5 (.f64 2 beta)))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (pow.f64 (+.f64 5 (.f64 2 beta)) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (+.f64 5 (.f64 2 beta)))) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 4)))))))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta)))))) (.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(+.f64 (/.f64 alpha (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha))) (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 5 (.f64 2 alpha))) (+.f64 6 (.f64 5 alpha)))) (.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))
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6
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2))))) 3) 1/3)
(pow.f64 (.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (*.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (neg.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2))))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (*.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(+.f64 (.f64 alpha 5) (.f64 alpha (*.f64 beta 2)))
(+.f64 (.f64 alpha (.f64 beta 2)) (*.f64 alpha 5))
(+.f64 (.f64 5 alpha) (.f64 (*.f64 beta 2) alpha))
(+.f64 (.f64 (.f64 beta 2) alpha) (*.f64 5 alpha))
(/.f64 (.f64 alpha (-.f64 25 (.f64 4 (.f64 beta beta)))) (+.f64 5 (.f64 -2 beta)))
(/.f64 (.f64 alpha (+.f64 125 (.f64 8 (pow.f64 beta 3)))) (+.f64 25 (-.f64 (.f64 4 (.f64 beta beta)) (*.f64 10 beta))))
(/.f64 (.f64 (-.f64 25 (.f64 4 (.f64 beta beta))) alpha) (+.f64 5 (.f64 -2 beta)))
(/.f64 (.f64 (+.f64 125 (.f64 8 (pow.f64 beta 3))) alpha) (+.f64 25 (-.f64 (.f64 4 (.f64 beta beta)) (*.f64 10 beta))))
(pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 5 (*.f64 beta 2))))
(cbrt.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(exp.f64 (log.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 5 (*.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(+.f64 (.f64 (+.f64 beta 2) beta) (.f64 (+.f64 beta 2) 3))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) 1) (.f64 (+.f64 (.f64 beta 2) 6) 1))
(+.f64 (.f64 beta (+.f64 beta 2)) (.f64 3 (+.f64 beta 2)))
(+.f64 (.f64 3 (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 (.f64 beta beta) -9)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 beta beta) -4)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 (.f64 beta beta) -9)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 (.f64 beta beta) -9)) (.f64 (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))) (+.f64 beta -3)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 (.f64 beta beta) (+.f64 4 (.f64 -2 beta))) (+.f64 (.f64 beta beta) (-.f64 9 (.f64 beta 3)))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 (.f64 beta beta) -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta)))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 (.f64 beta beta) -4)) (.f64 (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 (.f64 beta beta) (-.f64 9 (.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 -2 beta)))))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))

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 (-.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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.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 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.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 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 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 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(fma.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 (+.f64 beta 1) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (+.f64 5 (.f64 beta 2))))))) alpha (+.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 (-.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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.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 -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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(fma.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 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 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)) (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 5 (.f64 beta 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))))))))
(+.f64 (fma.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 (+.f64 beta 1) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (+.f64 5 (.f64 beta 2))))))) alpha (+.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)))) (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 5 (.f64 beta 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (+.f64 5 (.f64 beta 2))))))) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 3 (+.f64 5 (.f64 beta 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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2))) (-.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 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.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 -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 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 beta 2)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 2) (+.f64 5 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.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 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (.f64 (+.f64 (/.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 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 5 (.f64 beta 2)))) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 5 (.f64 beta 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3)) (/.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3)) (+.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)) (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 5 (.f64 beta 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 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))))))))))
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6
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(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (+.f64 alpha beta) 2) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (.f64 (+.f64 2 (+.f64 beta alpha)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (*.f64 beta 2)))))) 1))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (+.f64 alpha beta) 2) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (.f64 (+.f64 2 (+.f64 beta alpha)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 5 (.f64 beta 2)))))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (.f64 (+.f64 (+.f64 alpha beta) 2) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (.f64 (+.f64 2 (+.f64 beta alpha)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 (+.f64 5 (*.f64 beta 2)) alpha))))
(+.f64 (.f64 alpha 5) (.f64 alpha (*.f64 beta 2)))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(+.f64 (.f64 alpha (.f64 beta 2)) (*.f64 alpha 5))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(+.f64 (.f64 5 alpha) (.f64 (*.f64 beta 2) alpha))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(+.f64 (.f64 (.f64 beta 2) alpha) (*.f64 5 alpha))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(/.f64 (.f64 alpha (-.f64 25 (.f64 4 (.f64 beta beta)))) (+.f64 5 (.f64 -2 beta)))
(/.f64 alpha (/.f64 (+.f64 5 (.f64 beta -2)) (+.f64 25 (.f64 -4 (*.f64 beta beta)))))
(.f64 (/.f64 alpha (+.f64 5 (.f64 beta -2))) (+.f64 25 (.f64 (.f64 beta beta) -4)))
(/.f64 (.f64 alpha (+.f64 125 (.f64 8 (pow.f64 beta 3)))) (+.f64 25 (-.f64 (.f64 4 (.f64 beta beta)) (*.f64 10 beta))))
(/.f64 alpha (/.f64 (+.f64 25 (+.f64 (.f64 4 (.f64 beta beta)) (.f64 -10 beta))) (+.f64 125 (.f64 (pow.f64 beta 3) 8))))
(.f64 (/.f64 (+.f64 125 (.f64 (pow.f64 beta 3) 8)) (+.f64 25 (fma.f64 4 (.f64 beta beta) (neg.f64 (.f64 beta 10))))) alpha)
(/.f64 (.f64 (-.f64 25 (.f64 4 (.f64 beta beta))) alpha) (+.f64 5 (.f64 -2 beta)))
(/.f64 alpha (/.f64 (+.f64 5 (.f64 beta -2)) (+.f64 25 (.f64 -4 (*.f64 beta beta)))))
(.f64 (/.f64 alpha (+.f64 5 (.f64 beta -2))) (+.f64 25 (.f64 (.f64 beta beta) -4)))
(/.f64 (.f64 (+.f64 125 (.f64 8 (pow.f64 beta 3))) alpha) (+.f64 25 (-.f64 (.f64 4 (.f64 beta beta)) (*.f64 10 beta))))
(/.f64 alpha (/.f64 (+.f64 25 (+.f64 (.f64 4 (.f64 beta beta)) (.f64 -10 beta))) (+.f64 125 (.f64 (pow.f64 beta 3) 8))))
(.f64 (/.f64 (+.f64 125 (.f64 (pow.f64 beta 3) 8)) (+.f64 25 (fma.f64 4 (.f64 beta beta) (neg.f64 (.f64 beta 10))))) alpha)
(pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 1)
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(pow.f64 (sqrt.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))) 2)
(pow.f64 (sqrt.f64 (.f64 (+.f64 5 (.f64 beta 2)) alpha)) 2)
(pow.f64 (cbrt.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))) 3)
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(pow.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 3) 1/3)
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(sqrt.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (.f64 (+.f64 5 (.f64 beta 2)) alpha) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 5 (*.f64 beta 2))))
(.f64 (+.f64 5 (.f64 beta 2)) (log.f64 (exp.f64 alpha)))
(cbrt.f64 (pow.f64 (.f64 alpha (+.f64 5 (.f64 beta 2))) 3))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(expm1.f64 (log1p.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(exp.f64 (log.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 5 (*.f64 beta 2)))) 1))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(log1p.f64 (expm1.f64 (.f64 alpha (+.f64 5 (.f64 beta 2)))))
(.f64 (+.f64 5 (.f64 beta 2)) alpha)
(+.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (+.f64 (.f64 beta 2) 6) (.f64 beta (+.f64 beta 3)))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (+.f64 beta 2) beta) (.f64 (+.f64 beta 2) 3))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (+.f64 beta 2) 3) (.f64 (+.f64 beta 2) beta))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (.f64 beta (+.f64 beta 3)) 1) (.f64 (+.f64 (.f64 beta 2) 6) 1))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 beta (+.f64 beta 2)) (.f64 3 (+.f64 beta 2)))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 3 (+.f64 beta 2)) (.f64 beta (+.f64 beta 2)))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 (.f64 beta beta) -9)) (+.f64 beta -3))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta -3)) (fma.f64 beta beta -9))
(/.f64 (.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))))
(/.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 beta 2))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 beta beta) -4)) (+.f64 beta -2))
(/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 3))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))))
(/.f64 (+.f64 beta 3) (/.f64 (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 beta 3))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 beta 3)) (+.f64 beta -2))
(/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 3))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))))
(/.f64 (+.f64 beta 3) (/.f64 (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))) (+.f64 (pow.f64 beta 3) 8)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (.f64 beta (+.f64 beta -2)))) (+.f64 beta 3))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta -3)) (fma.f64 beta beta -9))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))))
(/.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 (pow.f64 beta 3) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (+.f64 beta 2))
(/.f64 (-.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (.f64 beta 2) 6)))
(/.f64 (-.f64 (.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 3) 2)) (.f64 (fma.f64 beta 2 6) (fma.f64 beta 2 6))) (-.f64 (.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6)))
(/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (/.f64 (-.f64 (.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6)) (-.f64 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (.f64 beta 2) 6) 3)) (+.f64 (.f64 (.f64 beta (+.f64 beta 3)) (.f64 beta (+.f64 beta 3))) (-.f64 (.f64 (+.f64 (.f64 beta 2) 6) (+.f64 (.f64 beta 2) 6)) (.f64 (.f64 beta (+.f64 beta 3)) (+.f64 (*.f64 beta 2) 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (.f64 (.f64 beta beta) (pow.f64 (+.f64 beta 3) 2)) (.f64 (fma.f64 beta 2 6) (-.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 beta (+.f64 beta 3)) 3) (pow.f64 (fma.f64 beta 2 6) 3)) (+.f64 (.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) beta)) (.f64 (fma.f64 beta 2 6) (-.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3))))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 (.f64 beta beta) -9)) (.f64 (+.f64 beta -2) (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -4) (.f64 (+.f64 beta -3) (+.f64 beta -2))) (fma.f64 beta beta -9))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -4) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 beta -2) (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3)))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (+.f64 beta -2)) (fma.f64 beta beta -4)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 (.f64 beta beta) -9)) (.f64 (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta))) (+.f64 beta -3)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (.f64 (+.f64 (.f64 beta beta) (+.f64 4 (.f64 -2 beta))) (+.f64 (.f64 beta beta) (-.f64 9 (.f64 beta 3)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 (.f64 beta beta) -4)) (.f64 (+.f64 beta -3) (+.f64 beta -2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(.f64 (/.f64 (fma.f64 beta beta -4) (.f64 (+.f64 beta -3) (+.f64 beta -2))) (fma.f64 beta beta -9))
(/.f64 (.f64 (+.f64 (.f64 beta beta) -9) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 beta -3) (+.f64 (.f64 beta beta) (+.f64 4 (*.f64 -2 beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (.f64 beta -2)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 (.f64 beta beta) -4)) (.f64 (+.f64 (.f64 beta beta) (-.f64 9 (*.f64 beta 3))) (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (.f64 (fma.f64 beta beta (-.f64 9 (.f64 beta 3))) (+.f64 beta -2)) (fma.f64 beta beta -4)))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (.f64 (+.f64 (.f64 beta beta) (-.f64 9 (.f64 beta 3))) (+.f64 (.f64 beta beta) (+.f64 4 (.f64 -2 beta)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (.f64 beta 3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))))
(.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (.f64 beta (+.f64 beta -3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 1)
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3) 1/3)
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (log.f64 (exp.f64 (+.f64 beta 3))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) 3))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 beta 2) (+.f64 beta 3))) 1))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))
(fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))

eval1.9s (8.6%)

Compiler: Compiled 69466 to 50970 computations (26.6% saved)

prune453.0ms (2.1%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1444	16	1460
Fresh	7	12	19
Picked	1	0	1
Done	2	4	6
Total	1454	32	1486

Error

Counts

1486 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(pow.f64 beta -2)
	25.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	3.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
	6.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
	29.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
	23.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	29.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	33.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
✓	29.4b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	33.7b	(/.f64 (/.f64 1 beta) (+.f64 beta 2))
	34.8b	(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
	5.3b	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	33.9b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
✓	32.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓	2.6b	(/.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))))
▶	0.5b	(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) (-.f64 -1 beta)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))
	44.9b	(/.f64 alpha (*.f64 beta beta))
	32.3b	(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
	29.7b	(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
▶	31.7b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
▶	29.8b	(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
	42.1b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 (+.f64 1 (/.f64 beta alpha)) (/.f64 2 alpha)))))
	34.6b	(/.f64 1 (*.f64 beta beta))
	62.3b	(/.f64 1 (*.f64 alpha alpha))
✓	62.4b	(/.f64 1 alpha)
	17.2b	(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	56.1b	(/.f64 1/3 (+.f64 beta 2))
▶	57.9b	(+.f64 (*.f64 -5/36 beta) 1/6)
▶	30.0b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
	29.5b	(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
	57.1b	1/6

Compiler

Compiled 917 to 671 computations (26.8% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (+.f64 2 beta) alpha))
✓	0.0b	(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) (-.f64 -1 beta))
✓	0.5b	(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) (-.f64 -1 beta)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))

Compiler

Compiled 108 to 69 computations (36.1% saved)

series10.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`add-sqr-sqrt`
554×	`pow1`
554×	`*-un-lft-identity`
534×	`add-cbrt-cube`
534×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	160
1	547	160

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
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simplify190.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1116×	`*-commutative`
1116×	`+-commutative`
1094×	`associate-r`
1040×	`associate-/l*`
960×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	821	24051
1	2996	23373

Stop Event

1×	node limit

Counts

243 → 437

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -5/36 beta) 1/6)
✓	0.3b	(*.f64 -5/36 beta)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 9

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	beta	@	-inf	(*.f64 -5/36 beta)
0.0ms	beta	@	inf	(*.f64 -5/36 beta)
0.0ms	beta	@	0	(*.f64 -5/36 beta)
0.0ms	beta	@	inf	(+.f64 (*.f64 -5/36 beta) 1/6)
0.0ms	beta	@	0	(+.f64 (*.f64 -5/36 beta) 1/6)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1420×	`add-cube-cbrt`
1410×	`add-cbrt-cube`
1396×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	154	16
2	1844	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(*.f64 -5/36 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/36 beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25/1296 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 beta) -5/36))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/36 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 25/1296 (*.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5/36 beta 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -5/36 beta 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216))) (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (*.f64 25/1296 (*.f64 beta beta)) (*.f64 beta -5/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (*.f64 25/1296 (*.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (*.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 25/1296 (*.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -5/36 beta 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/36 beta 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta -5/36 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -5/36 beta) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -5/36 beta)) (sqrt.f64 (*.f64 -5/36 beta)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 2) (cbrt.f64 (*.f64 -5/36 beta)) 1/6)))))

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-/l*`
994×	`associate-r`
914×	`*-commutative`
782×	`times-frac`
768×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	948
1	252	888
2	887	824
3	3873	740

Stop Event

1×	node limit

Counts

54 → 57

Calls

Call 1

Inputs
1/6
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(+.f64 1/6 (*.f64 -5/36 beta))
(-.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)
(pow.f64 (*.f64 -5/36 beta) 1)
(pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)
(pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)
(sqrt.f64 (.f64 25/1296 (.f64 beta beta)))
(log.f64 (pow.f64 (exp.f64 beta) -5/36))
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))
(exp.f64 (log.f64 (*.f64 -5/36 beta)))
(exp.f64 (.f64 (log.f64 (.f64 -5/36 beta)) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))
(-.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)
(-.f64 (/.f64 (.f64 25/1296 (.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(*.f64 (fma.f64 -5/36 beta 1/6) 1)
(*.f64 1 (fma.f64 -5/36 beta 1/6))
(*.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))
(*.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))
(.f64 (+.f64 (.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))
(.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))
(/.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)))
(/.f64 1 (/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))) (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))))
(/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (.f64 25/1296 (.f64 beta beta)) (.f64 beta -5/216))))
(/.f64 (-.f64 1/36 (.f64 25/1296 (.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))
(/.f64 (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216)))))
(pow.f64 (fma.f64 -5/36 beta 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))
(log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))
(cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))
(exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(fma.f64 beta -5/36 1/6)
(fma.f64 1 (*.f64 -5/36 beta) 1/6)
(fma.f64 (sqrt.f64 (.f64 -5/36 beta)) (sqrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -5/36 beta)) 2) (cbrt.f64 (.f64 -5/36 beta)) 1/6)

Outputs
1/6
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(*.f64 -5/36 beta)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(+.f64 1/6 (*.f64 -5/36 beta))
(fma.f64 -5/36 beta 1/6)
(-.f64 (+.f64 1 (*.f64 -5/36 beta)) 1)
(*.f64 -5/36 beta)
(pow.f64 (*.f64 -5/36 beta) 1)
(*.f64 -5/36 beta)
(pow.f64 (sqrt.f64 (*.f64 -5/36 beta)) 2)
(*.f64 -5/36 beta)
(pow.f64 (cbrt.f64 (*.f64 -5/36 beta)) 3)
(*.f64 -5/36 beta)
(pow.f64 (*.f64 -125/46656 (pow.f64 beta 3)) 1/3)
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(sqrt.f64 (.f64 25/1296 (.f64 beta beta)))
(sqrt.f64 (.f64 (.f64 25/1296 beta) beta))
(sqrt.f64 (.f64 beta (.f64 beta 25/1296)))
(log.f64 (pow.f64 (exp.f64 beta) -5/36))
(*.f64 -5/36 beta)
(cbrt.f64 (*.f64 -125/46656 (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(exp.f64 (log.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(exp.f64 (.f64 (log.f64 (.f64 -5/36 beta)) 1))
(*.f64 -5/36 beta)
(log1p.f64 (expm1.f64 (*.f64 -5/36 beta)))
(*.f64 -5/36 beta)
(-.f64 (+.f64 1 (fma.f64 -5/36 beta 1/6)) 1)
(fma.f64 -5/36 beta 1/6)
(-.f64 (/.f64 (.f64 25/1296 (.f64 beta beta)) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(*.f64 (fma.f64 -5/36 beta 1/6) 1)
(fma.f64 -5/36 beta 1/6)
(*.f64 1 (fma.f64 -5/36 beta 1/6))
(fma.f64 -5/36 beta 1/6)
(*.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) (sqrt.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(*.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2))
(fma.f64 -5/36 beta 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 2) (cbrt.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(.f64 (+.f64 (.f64 25/1296 (*.f64 beta beta)) -1/36) (/.f64 1 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (/.f64 1 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (*.f64 beta -5/216)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 1 (/.f64 (fma.f64 -5/36 beta -1/6) (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 1 (/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))) (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36) (fma.f64 -5/36 beta -1/6))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3))) (+.f64 1/36 (-.f64 (.f64 25/1296 (.f64 beta beta)) (.f64 beta -5/216))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(/.f64 (-.f64 1/36 (.f64 25/1296 (.f64 beta beta))) (-.f64 1/6 (*.f64 -5/36 beta)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) -1/36)) (neg.f64 (fma.f64 -5/36 beta -1/6)))
(-.f64 (/.f64 (.f64 (.f64 25/1296 beta) beta) (fma.f64 -5/36 beta -1/6)) (/.f64 1/36 (fma.f64 -5/36 beta -1/6)))
(+.f64 (/.f64 (.f64 beta (.f64 beta 25/1296)) (fma.f64 -5/36 beta -1/6)) (/.f64 -1/36 (fma.f64 -5/36 beta -1/6)))
(fma.f64 (/.f64 25/1296 (fma.f64 -5/36 beta -1/6)) (*.f64 beta beta) (/.f64 1/36 (fma.f64 beta 5/36 1/6)))
(/.f64 (fma.f64 (*.f64 beta -25/1296) beta 1/36) (fma.f64 beta 5/36 1/6))
(/.f64 (neg.f64 (+.f64 1/216 (.f64 -125/46656 (pow.f64 beta 3)))) (neg.f64 (+.f64 (.f64 25/1296 (.f64 beta beta)) (-.f64 1/36 (.f64 beta -5/216)))))
(.f64 (+.f64 (.f64 -125/46656 (pow.f64 beta 3)) 1/216) (/.f64 1 (fma.f64 25/1296 (.f64 beta beta) (-.f64 1/36 (.f64 beta -5/216)))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (+.f64 1/36 (.f64 beta (-.f64 (.f64 beta 25/1296) -5/216))))
(/.f64 (fma.f64 -125/46656 (pow.f64 beta 3) 1/216) (fma.f64 beta (fma.f64 beta 25/1296 5/216) 1/36))
(pow.f64 (fma.f64 -5/36 beta 1/6) 1)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (sqrt.f64 (fma.f64 -5/36 beta 1/6)) 2)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (cbrt.f64 (fma.f64 -5/36 beta 1/6)) 3)
(fma.f64 -5/36 beta 1/6)
(pow.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3) 1/3)
(fma.f64 -5/36 beta 1/6)
(sqrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 2))
(fma.f64 -5/36 beta 1/6)
(log.f64 (exp.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(cbrt.f64 (pow.f64 (fma.f64 -5/36 beta 1/6) 3))
(fma.f64 -5/36 beta 1/6)
(expm1.f64 (log1p.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(exp.f64 (log.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/36 beta 1/6)) 1))
(fma.f64 -5/36 beta 1/6)
(log1p.f64 (expm1.f64 (fma.f64 -5/36 beta 1/6)))
(fma.f64 -5/36 beta 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 beta -5/36 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 1 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 (sqrt.f64 (.f64 -5/36 beta)) (sqrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 -5/36 beta 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -5/36 beta)) 2) (cbrt.f64 (.f64 -5/36 beta)) 1/6)
(fma.f64 -5/36 beta 1/6)

localize46.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`associate-/r*`
1234×	`associate-/l*`
922×	`*-commutative`
562×	`swap-sqr`
534×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	197	32
2	2674	32

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`unswap-sqr`
676×	`associate-/r*`
668×	`associate-/l*`
660×	`associate-/l/`
570×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	6666
1	1347	5968
2	5894	5956

Stop Event

1×	node limit

Counts

228 → 276

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 beta (+.f64 1 alpha))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha)))
✓	0.5b	(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`distribute-lft-in`
1284×	`associate-/l*`
1200×	`associate-/r/`
482×	`associate-/l/`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	279	75
2	4058	75

Stop Event

1×	node limit

Counts

3 → 330

Calls

Call 1

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

Outputs

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

simplify233.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-r`
1520×	`associate-l`
1510×	`associate-/r*`
1184×	`associate-*l/`
840×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	991	21676
1	3194	21162

Stop Event

1×	node limit

Counts

390 → 663

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha 2) (+.f64 alpha 3))
✓	0.1b	(.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha)))
✓	0.2b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
✓	1.7b	(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))

Compiler

Compiled 78 to 55 computations (29.5% saved)

series18.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	beta	@	0	(.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha)))
1.0ms	alpha	@	0	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
1.0ms	beta	@	0	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
1.0ms	alpha	@	-inf	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
1.0ms	alpha	@	inf	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))

rewrite149.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`distribute-lft-neg-in`
744×	`distribute-rgt-neg-in`
382×	`+-commutative`
382×	`add-sqr-sqrt`
370×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
1	386	148
2	5654	148

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 3) (.f64 (+.f64 alpha 2) (/.f64 1 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 2) (.f64 (+.f64 alpha 3) (/.f64 1 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 2) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 2) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha 1)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3))) (/.f64 1 (-.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 1))) (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (cbrt.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 3) (sqrt.f64 (+.f64 alpha 1))) (/.f64 (+.f64 alpha 2) (sqrt.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (-.f64 1 (.f64 alpha alpha))) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (.f64 alpha alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (-.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha 3)) (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha 3)) (+.f64 alpha 2)) (+.f64 alpha 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha 3)) (+.f64 alpha 2))) (log1p.f64 alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 2 (+.f64 alpha beta)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) (+.f64 alpha 2)) (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 alpha 2) (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) (.f64 beta (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) beta) (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) (+.f64 2 beta)) (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) alpha) (.f64 (.f64 (/.f64 (+.f64 alpha 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simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-r`
1354×	`associate-l`
1340×	`distribute-lft-in`
1024×	`associate-/l*`
890×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	721	16493
1	2510	15101

Stop Event

1×	node limit

Counts

265 → 411

Calls

Call 1

Inputs
6
(+.f64 6 (*.f64 -1 alpha))
(+.f64 6 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -1 alpha)))
(+.f64 6 (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -1 alpha) (*.f64 -2 (pow.f64 alpha 3)))))
alpha
(+.f64 4 alpha)
(+.f64 4 (+.f64 (*.f64 2 (/.f64 1 alpha)) alpha))
(-.f64 (+.f64 4 (+.f64 (.f64 2 (/.f64 1 alpha)) alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
alpha
(+.f64 4 alpha)
(+.f64 4 (+.f64 (*.f64 2 (/.f64 1 alpha)) alpha))
(-.f64 (+.f64 4 (+.f64 (.f64 2 (/.f64 1 alpha)) alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(/.f64 1/6 (+.f64 beta 2))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 (.f64 5 (+.f64 beta 2))) (+.f64 beta 6))) (+.f64 (.f64 6 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))))))) (pow.f64 alpha 5))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 beta 2)) 6))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 (.f64 (+.f64 beta 7) (+.f64 (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 beta 2)) 6)))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 7) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -5 (+.f64 beta 2)) 6) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 7) (+.f64 (.f64 -1 (+.f64 beta 7)) 1)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 beta 2)) 6))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(*.f64 6 (+.f64 beta 2))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (.f64 6 (+.f64 beta 2))) alpha) (*.f64 6 (+.f64 beta 2)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (.f64 6 (+.f64 beta 2))) alpha) (+.f64 (.f64 (-.f64 (+.f64 beta (+.f64 7 (.f64 6 (+.f64 beta 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (pow.f64 alpha 2)) (*.f64 6 (+.f64 beta 2))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (.f64 6 (+.f64 beta 2))) alpha) (+.f64 (.f64 (-.f64 (+.f64 beta (+.f64 7 (.f64 6 (+.f64 beta 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 6 (+.f64 beta 2)) (.f64 (-.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (+.f64 beta (+.f64 6 (*.f64 6 (+.f64 beta 2))))) (pow.f64 alpha 3)))))
(pow.f64 alpha 2)
(+.f64 (*.f64 (+.f64 beta 6) alpha) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 (+.f64 beta 6) alpha) (+.f64 (.f64 5 (+.f64 beta 2)) (pow.f64 alpha 2))) beta)
(-.f64 (+.f64 (.f64 6 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 (+.f64 beta 6) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 5 (+.f64 beta 2)) (pow.f64 alpha 2))))) (+.f64 beta (.f64 5 (/.f64 (+.f64 beta 2) alpha))))
(pow.f64 alpha 2)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) 1) alpha)) (pow.f64 alpha 2))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)))) 1) alpha)) (+.f64 (.f64 -1 (+.f64 (.f64 3 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)))) 1) alpha)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 (+.f64 (.f64 3 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)) (.f64 -2 (+.f64 beta 2)))) (.f64 -1 (+.f64 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)))) 1))))) alpha)) (+.f64 (.f64 -1 (+.f64 (.f64 3 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)) (.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2)))) (.f64 -1 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 -1 (-.f64 (.f64 -1 (+.f64 beta 2)) 2)))))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)))) 1)
(.f64 (+.f64 alpha 3) (.f64 (+.f64 alpha 2) (/.f64 1 (+.f64 alpha 1))))
(.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 1)))
(.f64 1 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)))
(.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 1)
(.f64 (+.f64 alpha 2) (.f64 (+.f64 alpha 3) (/.f64 1 (+.f64 alpha 1))))
(*.f64 (+.f64 alpha 2) (/.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 alpha 3))))
(.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))
(.f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha 1))))
(.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha 1))))
(.f64 (/.f64 1 (+.f64 alpha 1)) (.f64 (+.f64 alpha 3) (+.f64 alpha 2)))
(.f64 (.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3))) (/.f64 1 (-.f64 -1 alpha)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 1))) (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (cbrt.f64 (+.f64 alpha 1))))
(*.f64 (/.f64 (+.f64 alpha 3) (sqrt.f64 (+.f64 alpha 1))) (/.f64 (+.f64 alpha 2) (sqrt.f64 (+.f64 alpha 1))))
(.f64 (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(.f64 (/.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))
(*.f64 (/.f64 (+.f64 alpha 3) 1) (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)))
(*.f64 (/.f64 (+.f64 alpha 2) (sqrt.f64 (+.f64 alpha 1))) (/.f64 (+.f64 alpha 3) (sqrt.f64 (+.f64 alpha 1))))
(*.f64 (/.f64 (+.f64 alpha 3) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (+.f64 alpha 2) (cbrt.f64 (+.f64 alpha 1))))
(*.f64 (/.f64 (+.f64 alpha 2) 1) (/.f64 (+.f64 alpha 3) (+.f64 alpha 1)))
(*.f64 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (+.f64 alpha 3) (cbrt.f64 (+.f64 alpha 1))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 alpha 1)))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (cbrt.f64 (+.f64 alpha 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 alpha 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2) (sqrt.f64 (+.f64 alpha 1))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)) (-.f64 -1 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 2) (+.f64 alpha 1)) (+.f64 alpha 3)) 2))
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(/.f64 (.f64 (fma.f64 alpha alpha -4) (+.f64 27 (pow.f64 alpha 3))) (.f64 (+.f64 alpha -2) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(/.f64 (.f64 (-.f64 4 (.f64 alpha alpha)) (fma.f64 alpha alpha -9)) (*.f64 (-.f64 2 alpha) (+.f64 alpha -3)))
(/.f64 (.f64 (-.f64 4 (.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (.f64 (-.f64 2 alpha) (+.f64 9 (.f64 alpha (+.f64 alpha -3)))))
(/.f64 (.f64 (+.f64 8 (pow.f64 alpha 3)) (fma.f64 alpha alpha -9)) (.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (+.f64 alpha -3)))
(/.f64 (.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (.f64 (+.f64 4 (.f64 alpha (+.f64 alpha -2))) (+.f64 9 (.f64 alpha (+.f64 alpha -3)))))
(pow.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 alpha 3) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))))
(fma.f64 alpha (+.f64 alpha 2) (+.f64 (*.f64 alpha 3) 6))
(fma.f64 (+.f64 alpha 2) alpha (+.f64 (*.f64 alpha 3) 6))

Outputs
6
(+.f64 6 (*.f64 -1 alpha))
(+.f64 6 (neg.f64 alpha))
(+.f64 6 (+.f64 (.f64 2 (pow.f64 alpha 2)) (.f64 -1 alpha)))
(+.f64 6 (fma.f64 2 (*.f64 alpha alpha) (neg.f64 alpha)))
(+.f64 6 (+.f64 (.f64 2 (pow.f64 alpha 2)) (+.f64 (.f64 -1 alpha) (*.f64 -2 (pow.f64 alpha 3)))))
(+.f64 6 (fma.f64 2 (.f64 alpha alpha) (fma.f64 -1 alpha (.f64 -2 (pow.f64 alpha 3)))))
alpha
(+.f64 4 alpha)
(+.f64 alpha 4)
(+.f64 4 (+.f64 (*.f64 2 (/.f64 1 alpha)) alpha))
(+.f64 4 (+.f64 alpha (/.f64 2 alpha)))
(+.f64 alpha (+.f64 4 (/.f64 2 alpha)))
(-.f64 (+.f64 4 (+.f64 (.f64 2 (/.f64 1 alpha)) alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 4 (-.f64 (+.f64 alpha (/.f64 2 alpha)) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 4 (+.f64 alpha (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))))
alpha
(+.f64 4 alpha)
(+.f64 alpha 4)
(+.f64 4 (+.f64 (*.f64 2 (/.f64 1 alpha)) alpha))
(+.f64 4 (+.f64 alpha (/.f64 2 alpha)))
(+.f64 alpha (+.f64 4 (/.f64 2 alpha)))
(-.f64 (+.f64 4 (+.f64 (.f64 2 (/.f64 1 alpha)) alpha)) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 4 (-.f64 (+.f64 alpha (/.f64 2 alpha)) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 4 (+.f64 alpha (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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)))))
(fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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 (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))) (/.f64 (.f64 beta beta) (/.f64 (+.f64 alpha 2) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))))))
(+.f64 (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))) (.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 2)) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))))
(+.f64 (/.f64 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))))) (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(+.f64 (/.f64 (.f64 beta beta) (/.f64 (+.f64 alpha 2) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))))) (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))))
(+.f64 (.f64 (/.f64 (.f64 beta beta) (+.f64 alpha 2)) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 5) (+.f64 alpha 3))))) (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 1) (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (+.f64 alpha 1) (.f64 beta (+.f64 6 (.f64 alpha (+.f64 alpha 5)))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha (+.f64 alpha 5)))) beta)))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 (/.f64 1 (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (/.f64 (/.f64 1 (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta)))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (+.f64 alpha 1) (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (+.f64 alpha 1) (.f64 beta (+.f64 6 (.f64 alpha (+.f64 alpha 5)))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (/.f64 (/.f64 1 (+.f64 6 (*.f64 alpha (+.f64 alpha 5)))) beta)))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 (/.f64 1 (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))))
(+.f64 (/.f64 (/.f64 alpha (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))) (.f64 beta beta)) (+.f64 (.f64 (/.f64 (+.f64 alpha 2) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 alpha (+.f64 alpha 3))))) (/.f64 (/.f64 1 (+.f64 6 (.f64 alpha (+.f64 alpha 5)))) beta)))))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/6 (+.f64 2 beta))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (/.f64 1/6 (+.f64 2 beta)) (.f64 alpha (-.f64 (/.f64 1/6 (+.f64 2 beta)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 (/.f64 1/6 (+.f64 2 beta)) (.f64 alpha (+.f64 (/.f64 1/6 (+.f64 2 beta)) (.f64 (/.f64 (fma.f64 2 (+.f64 beta 5) (*.f64 3 (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) -1/36))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
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(*.f64 alpha alpha)
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6
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(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 alpha (+.f64 alpha 2) (+.f64 (*.f64 alpha 3) 6))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 alpha 2) 6))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(fma.f64 (+.f64 alpha 2) alpha (+.f64 (*.f64 alpha 3) 6))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 alpha 2) 6))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))

eval1.2s (5.4%)

Compiler: Compiled 57654 to 40786 computations (29.3% saved)

prune761.0ms (3.5%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1833	11	1844
Fresh	3	20	23
Picked	0	1	1
Done	6	2	8
Total	1842	34	1876

Error

Counts

1876 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(pow.f64 beta -2)
	0.5b	(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))
	25.1b	(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
	3.8b	(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
	6.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
	29.4b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
	23.8b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
	29.3b	(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
	33.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	30.0b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	29.4b	(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
	33.7b	(/.f64 (/.f64 1 beta) (+.f64 beta 2))
	62.3b	(/.f64 (/.f64 1 alpha) alpha)
	34.8b	(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
	5.3b	(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	33.9b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
✓	2.6b	(/.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))))
	44.9b	(/.f64 alpha (*.f64 beta beta))
	32.3b	(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
	29.7b	(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
✓	31.7b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
	42.3b	(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
	32.2b	(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
	42.1b	(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 (+.f64 1 (/.f64 beta alpha)) (/.f64 2 alpha)))))
	33.3b	(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
	30.4b	(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
	34.0b	(/.f64 1 (*.f64 beta (+.f64 beta 2)))
	34.6b	(/.f64 1 (*.f64 beta beta))
	60.3b	(/.f64 1 beta)
	33.4b	(/.f64 1/6 (+.f64 beta 2))
	42.7b	(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
	29.5b	(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
	57.1b	1/6

Compiler

Compiled 507 to 370 computations (27% saved)

regimes123.0ms (0.6%)

Counts

68 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.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 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (+.f64 (+.f64 1 (/.f64 beta alpha)) (/.f64 2 alpha)))))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (.f64 (/.f64 (+.f64 1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 (/.f64 1 (+.f64 (+.f64 2 beta) alpha)) (-.f64 -1 beta)) (.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 (+.f64 alpha 3) beta)))
(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (+.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 (+.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 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha)))
(/.f64 (+.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (.f64 beta (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.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 (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(/.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 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 beta -2)
(.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))
(/.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)))
(/.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 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 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (*.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha -2))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

3 calls:

40.0ms

beta

35.0ms

alpha

20.0ms

(/.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 1159 to 753 computations (35% saved)

regimes84.0ms (0.4%)

Counts

49 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.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)))

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

Calls

2 calls:

30.0ms	alpha
25.0ms	beta

Results

Error	Segments	Branch
0.1b	1	`alpha`
0.1b	1	`beta`

Compiler

Compiled 572 to 375 computations (34.4% saved)

regimes83.0ms (0.4%)

Counts

47 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))

Outputs

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

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

Calls

2 calls:

45.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
1.4b	1	`alpha`
0.1b	2	`beta`

Compiler

Compiled 522 to 341 computations (34.7% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	8.127817596066371e+127	3.770669389242872e+129

Results

9.0ms

64×

body

256

valid

Compiler

Compiled 234 to 168 computations (28.2% saved)

regimes90.0ms (0.4%)

Counts

46 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.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 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.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
22.0ms	alpha

Results

Error	Segments	Branch
1.4b	1	`alpha`
0.1b	2	`beta`

Compiler

Compiled 497 to 325 computations (34.6% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	8.127817596066371e+127	3.770669389242872e+129

Results

10.0ms

64×

body

256

valid

Compiler

Compiled 234 to 168 computations (28.2% saved)

regimes57.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

23.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
1.4b	1	`alpha`
1.4b	1	`beta`

Compiler

Compiled 472 to 309 computations (34.5% saved)

regimes92.0ms (0.4%)

Counts

44 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.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 beta beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))

Outputs

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

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

Calls

2 calls:

41.0ms	alpha
41.0ms	beta

Results

Error	Segments	Branch
1.6b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 449 to 294 computations (34.5% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.017106495933859555	15592.06092346573

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 420 to 316 computations (24.8% saved)

regimes95.0ms (0.4%)

Counts

39 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

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

Calls

2 calls:

35.0ms	beta
35.0ms	alpha

Results

Error	Segments	Branch
9.9b	2	`alpha`
1.0b	2	`beta`

Compiler

Compiled 350 to 232 computations (33.7% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.017106495933859555	15592.06092346573

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 384 to 289 computations (24.7% saved)

regimes77.0ms (0.4%)

Counts

38 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))

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

Calls

2 calls:

34.0ms	beta
33.0ms	alpha

Results

Error	Segments	Branch
10.2b	2	`alpha`
1.7b	2	`beta`

Compiler

Compiled 333 to 220 computations (33.9% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.017106495933859555	15592.06092346573

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 366 to 271 computations (26% saved)

regimes76.0ms (0.4%)

Counts

37 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))

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

Calls

2 calls:

35.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
10.4b	2	`alpha`
1.8b	2	`beta`

Compiler

Compiled 318 to 210 computations (34% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	0.017106495933859555	15592.06092346573

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 330 to 244 computations (26.1% saved)

regimes75.0ms (0.3%)

Counts

36 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

Outputs
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

34.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
10.4b	2	`alpha`
2.1b	2	`beta`

Compiler

Compiled 303 to 199 computations (34.3% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.017106495933859555	15592.06092346573

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 312 to 235 computations (24.7% saved)

regimes69.0ms (0.3%)

Counts

33 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.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 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta (+.f64 1 alpha))))

Outputs
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

32.0ms	alpha
30.0ms	beta

Results

Error	Segments	Branch
10.4b	2	`alpha`
2.2b	2	`beta`

Compiler

Compiled 262 to 171 computations (34.7% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	0.017106495933859555	15592.06092346573

Results

23.0ms

144×

body

256

valid

Compiler

Compiled 303 to 226 computations (25.4% saved)

regimes359.0ms (1.7%)

Counts

31 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))

Outputs
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

Calls

2 calls:

276.0ms	alpha
76.0ms	beta

Results

Error	Segments	Branch
10.4b	2	`alpha`
2.4b	2	`beta`

Compiler

Compiled 237 to 153 computations (35.4% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.017106495933859555	15592.06092346573

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes64.0ms (0.3%)

Counts

29 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 beta alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Outputs
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

29.0ms	beta
28.0ms	alpha

Results

Error	Segments	Branch
10.5b	2	`alpha`
2.5b	2	`beta`

Compiler

Compiled 215 to 139 computations (35.3% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.017106495933859555	15592.06092346573

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes49.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 beta (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Outputs
(/.f64 1/6 (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

22.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
10.5b	2	`alpha`
2.5b	2	`beta`

Compiler

Compiled 135 to 86 computations (36.3% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.017106495933859555	15592.06092346573

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes101.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.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 2))

Outputs
(/.f64 1/6 (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

72.0ms	alpha
24.0ms	beta

Results

Error	Segments	Branch
15.5b	9	`alpha`
2.8b	3	`beta`

Compiler

Compiled 92 to 56 computations (39.1% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	4.460941120926518e+150	1.0074617882121079e+157
23.0ms	0.017106495933859555	15592.06092346573

Results

29.0ms

208×

body

256

valid

Compiler

Compiled 284 to 210 computations (26.1% saved)

regimes161.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))

Outputs
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

137.0ms	alpha
22.0ms	beta

Results

Error	Segments	Branch
15.8b	9	`alpha`
5.0b	3	`beta`

Compiler

Compiled 71 to 45 computations (36.6% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	4.460941120926518e+150	1.0074617882121079e+157
21.0ms	0.017106495933859555	15592.06092346573

Results

38.0ms

288×

body

256

valid

Compiler

Compiled 384 to 298 computations (22.4% saved)

regimes194.0ms (0.9%)

Counts

11 → 3

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Outputs
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))

Calls

2 calls:

94.0ms	alpha
29.0ms	beta

Results

Error	Segments	Branch
15.9b	9	`alpha`
5.0b	3	`beta`

Compiler

Compiled 57 to 37 computations (35.1% saved)

bsearch46.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.460941120926518e+150	1.0074617882121079e+157
23.0ms	0.017106495933859555	15592.06092346573

Results

42.0ms

288×

body

256

valid

Compiler

Compiled 348 to 262 computations (24.7% saved)

regimes68.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 alpha) alpha)

Outputs
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))

Calls

2 calls:

54.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
18.0b	9	`alpha`
7.1b	2	`beta`

Compiler

Compiled 50 to 33 computations (34% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	0.017106495933859555	15592.06092346573

Results

23.0ms

144×

body

256

valid

Compiler

Compiled 186 to 145 computations (22% saved)

regimes13.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/3 (+.f64 beta 2))
(/.f64 1 (*.f64 alpha alpha))

Outputs
(/.f64 1/6 (+.f64 beta 2))

Calls

2 calls:

7.0ms	beta
5.0ms	alpha

Results

Error	Segments	Branch
33.4b	1	`alpha`
33.4b	1	`beta`

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)

Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1 beta)

Calls

2 calls:

8.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
57.1b	1	`alpha`
56.1b	2	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.017106495933859555	15592.06092346573

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 168 to 136 computations (19% saved)

regimes13.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 1 beta)

Outputs
1/6
(/.f64 1 beta)

Calls

2 calls:

6.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
57.1b	1	`alpha`
56.1b	2	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	0.017106495933859555	15592.06092346573

Results

25.0ms

144×

body

256

valid

Compiler

Compiled 132 to 109 computations (17.4% saved)

regimes9.0ms (0%)

Accuracy

Total -5.5b remaining (-9.6%)

Threshold costs -5.5b (-9.6%)

Counts

2 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)

Outputs
1/6

Calls

2 calls:

5.0ms	beta
3.0ms	alpha

Results

Error	Segments	Branch
57.1b	1	`alpha`
57.1b	1	`beta`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

48×	`+-commutative`
34×	`*-commutative`
16×	`sub-neg`
6×	`unsub-neg`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1470
1	195	1470
2	208	1470
3	215	1470
4	217	1470

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) (+.f64 beta (+.f64 2 alpha)))
(if (<=.f64 beta 599999999999999968147648797577957965000357243018449215043379698786834031808938567631299325703165345838470793951210654845561208832) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8106479329266893/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 49/2) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3321404725185741/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4447304632028365/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 17/2) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 6) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta (+.f64 beta 2))) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1 beta))
(if (<=.f64 beta 6) 1/6 (/.f64 1 beta))
1/6

Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (+.f64 beta (+.f64 alpha 2)))
(if (<=.f64 beta 599999999999999968147648797577957965000357243018449215043379698786834031808938567631299325703165345838470793951210654845561208832) (/.f64 (.f64 (/.f64 (-.f64 -1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 599999999999999968147648797577957965000357243018449215043379698786834031808938567631299325703165345838470793951210654845561208832) (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (-.f64 -1 beta) (.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800) (/.f64 (.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1 (.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 2871044762448691/1125899906842624) (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 alpha 1)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5404319552844595/4503599627370496) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 8106479329266893/4503599627370496) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 8106479329266893/4503599627370496) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24) (/.f64 (+.f64 1 alpha) (.f64 (+.f64 6 (.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha 2) (+.f64 6 (.f64 alpha 5)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 49/2) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 6 (neg.f64 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 49/2) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 6 alpha))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3321404725185741/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3321404725185741/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) 6)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) 6)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) 6)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 4447304632028365/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4447304632028365/562949953421312) (/.f64 1/6 (+.f64 2 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 17/2) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 17/2) (/.f64 1/6 (+.f64 2 beta)) (if (<=.f64 beta 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (/.f64 (+.f64 alpha 1) (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 6) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta (+.f64 beta 2))) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 6) (/.f64 1/6 (+.f64 2 beta)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta (+.f64 2 beta))) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 2 beta)) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 1 (.f64 beta beta)) (.f64 (/.f64 alpha beta) (/.f64 1 beta))))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 beta 2)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/562949953421312) (/.f64 1/6 (+.f64 2 beta)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/6 (+.f64 2 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 1 beta))
(if (<=.f64 beta 5404319552844595/4503599627370496) (+.f64 1/6 (*.f64 beta -5/36)) (/.f64 1 beta))
(if (<=.f64 beta 6) 1/6 (/.f64 1 beta))
1/6

Compiler

Compiled 582 to 421 computations (27.7% saved)

soundness720.0ms (3.4%)

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

end234.0ms (1.1%)

Compiler: Compiled 594 to 408 computations (31.3% saved)