Details

analyze58.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
14%	42.1%	43.8%	3
21.1%	35.1%	43.8%	4
31.6%	24.6%	43.8%	5
36.9%	19.3%	43.8%	6
43%	13.2%	43.8%	7
46.1%	10.1%	43.8%	8
49.4%	6.8%	43.8%	9
51%	5.2%	43.8%	10
52.7%	3.5%	43.8%	11
53.6%	2.6%	43.8%	12

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.6s (12.6%)

Results

1.6s

8256×

body

256

valid

preprocess79.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

822×	`distribute-rgt-in_binary64`
782×	`distribute-lft-in_binary64`
684×	`+-commutative_binary64`
603×	`associate-l_binary64`
531×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	61	76
2	161	76
3	831	74
4	5175	74
5	5937	74
6	6315	74
7	6985	74
8	7521	74
9	7534	74
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 (+.f64 beta (+.f64 alpha (.f64 alpha beta))) 1) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.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 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha (+.f64 beta 2))))
(/.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 (+.f64 beta (+.f64 alpha (.f64 alpha beta))) 1) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.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 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha (+.f64 beta 2))))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
474×	`associate-/l/_binary64`
470×	`associate-l_binary64`
388×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	625	37
4	4291	37
5	4944	37
6	5207	37
7	5769	37
8	6266	37
9	6279	37
10	6507	37
11	6634	37
12	6777	37
13	7077	37
14	7847	37
15	7927	37
16	7950	37
17	7957	37
18	7964	37
19	7971	37
20	7978	37
21	7985	37
22	7992	37
23	7999	37

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 62 to 41 computations (33.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

2.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.3b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Status

Error

Program

▶

5.3b

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

▶

7.9b

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

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

series51.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
8.0ms	alpha	@	-inf	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
3.0ms	beta	@	0	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
3.0ms	alpha	@	0	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
3.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`fma-neg_binary64`
350×	`log1p-udef_binary64`
348×	`expm1-udef_binary64`
208×	`add-sqr-sqrt_binary64`
203×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	79
1	395	79
2	6457	79

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-rgt-in_binary64`
770×	`distribute-lft-in_binary64`
612×	`fma-def_binary64`
309×	`times-frac_binary64`
303×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	8557
1	2158	7985

Stop Event

1×	node limit

Counts

261 → 312

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.0b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))
	0.1b	(/.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))
	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.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))
✓	5.0b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

series23.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`fma-neg_binary64`
312×	`log1p-udef_binary64`
310×	`expm1-udef_binary64`
245×	`log-pow_binary64`
183×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	349	82
2	5740	82

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-in_binary64`
681×	`distribute-lft-in_binary64`
492×	`fma-def_binary64`
281×	`times-frac_binary64`
273×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	8184
1	2207	7723

Stop Event

1×	node limit

Counts

256 → 300

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

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

eval708.0ms (5.5%)

Compiler: Compiled 35274 to 25900 computations (26.6% saved)

prune134.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	592	20	612
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	594	20	614

Error

0.2b

Counts

614 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	9.5b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
▶	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	61.5b	(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
	5.5b	(pow.f64 (.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) 1)
	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (*.f64 2 (+.f64 beta (+.f64 2 alpha))))))
	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	25.6b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	34.5b	(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)))
▶	28.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	21.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	19.1b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	9.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
	61.5b	(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
▶	30.0b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
	5.3b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) (*.f64 2 beta))))))
	27.6b	(/.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 (pow.f64 (+.f64 alpha beta) 3) 27) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))
▶	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	39.5b	(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	6.0b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 3))

Compiler

Compiled 1036 to 732 computations (29.3% saved)

localize30.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series99.0ms (0.8%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
79.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
5.0ms	beta	@	0	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
4.0ms	alpha	@	inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
2.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`prod-diff_binary64`
296×	`log1p-udef_binary64`
294×	`expm1-udef_binary64`
172×	`add-sqr-sqrt_binary64`
168×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	325	57
2	5310	57

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 (+.f64 beta 1)) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (+.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 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change 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(+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (+.f64 (+.f64 beta alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 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simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

456×	`distribute-rgt-in_binary64`
447×	`distribute-lft-in_binary64`
373×	`fma-def_binary64`
358×	`cancel-sign-sub-inv_binary64`
287×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	4527
1	1423	4291
2	6795	4204

Stop Event

1×	node limit

Counts

180 → 212

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
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(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 beta (.f64 beta (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (*.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 beta (.f64 beta (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (*.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/2 (.f64 (/.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (.f64 -1/2 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 beta (.f64 beta (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))))) (.f64 (pow.f64 beta 3) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 2 alpha 7) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4))) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6))) (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (.f64 beta (.f64 beta (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))))) (.f64 (pow.f64 beta 3) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 2 alpha 7) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4))) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha))) (.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6))) (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (.f64 2 alpha) 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 (.f64 2 alpha) 6)) (+.f64 10 (.f64 (.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 (neg.f64 (fma.f64 2 alpha 7)) (fma.f64 2 alpha 6) (+.f64 10 (.f64 alpha 4)))) (pow.f64 beta 4)))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) alpha (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 (+.f64 2 beta) (.f64 alpha alpha))))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) alpha (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 2 beta)) (.f64 alpha alpha)))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 2 beta)) (.f64 alpha alpha)) (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 5)) (/.f64 1 (pow.f64 (+.f64 2 beta) 5)))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) alpha (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 2 beta)) (.f64 alpha alpha)))) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 5)) (/.f64 1 (pow.f64 (+.f64 2 beta) 5)))) (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 2 beta)) (.f64 alpha alpha)) (.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (.f64 (pow.f64 alpha 3) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 5)) (/.f64 1 (pow.f64 (+.f64 2 beta) 5))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))
(+.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))
(+.f64 (+.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))
(+.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))
(+.f64 (+.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 1 (.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2)))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 1/2 (*.f64 beta 1/4))
(fma.f64 beta 1/4 1/2)
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (.f64 beta 1/4)))
(fma.f64 (*.f64 beta beta) -1/8 (fma.f64 beta 1/4 1/2))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (.f64 (pow.f64 beta 3) 1/16))))
(fma.f64 (.f64 beta beta) -1/8 (+.f64 (fma.f64 beta 1/4 1/2) (.f64 (pow.f64 beta 3) 1/16)))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 4 (pow.f64 beta 3))))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 -1 beta)) (/.f64 4 (pow.f64 beta 3))))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`pow1_binary64`
757×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	2045	10

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
971×	`associate-/l/_binary64`
561×	`fabs-mul_binary64`
561×	`cube-prod_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	19	285
2	30	285
3	53	285
4	121	285
5	371	285
6	1325	285
7	2173	285
8	2337	285
9	2521	285
10	2729	285
11	3022	285
12	3415	285
13	3893	285
14	4456	285
15	5148	285
16	5983	285
17	6379	285
18	6667	285
19	6947	285
20	7021	285
21	7055	285

Stop Event

1×	node limit

Counts

56 → 40

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))

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

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series8.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
565×	`fma-def_binary64`
311×	`fma-neg_binary64`
283×	`log-div_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	269	23
2	4187	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
388×	`associate-+l+_binary64`
379×	`sub-neg_binary64`
372×	`distribute-rgt-in_binary64`
353×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1274
1	415	1246
2	1442	1157
3	7164	1151

Stop Event

1×	node limit

Counts

111 → 114

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	19.4b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	0.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
	0.0b	(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
✓	0.0b	(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓	19.4b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

series20.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-def_binary64`
342×	`fma-neg_binary64`
321×	`log1p-udef_binary64`
320×	`expm1-udef_binary64`
189×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	363	60
2	5791	60

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

527×	`distribute-rgt-in_binary64`
518×	`distribute-lft-in_binary64`
459×	`fma-def_binary64`
331×	`associate-+r+_binary64`
325×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	5930
1	1751	5504

Stop Event

1×	node limit

Counts

250 → 288

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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.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 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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) (/.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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 3 alpha))))) (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 3 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha)))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (+.f64 (.f64 -2 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)))) (+.f64 2 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))))) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 beta (+.f64 3 alpha))))))))) (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))
(*.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 7 (.f64 2 beta)) (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (+.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 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 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 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta)))) (+.f64 7 (.f64 2 beta))) (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.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 3 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta)))) (+.f64 7 (.f64 2 beta))) (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 7 (.f64 2 beta)))))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta)))) (+.f64 7 (.f64 2 beta))) (.f64 (+.f64 beta 1) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 7 (.f64 2 beta))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 3 (*.f64 2 (+.f64 beta 2)))))) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 3 (.f64 2 (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (.f64 -1 (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))))) (pow.f64 alpha 4))))))
(+.f64 (.f64 -3 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 3 (.f64 2 (+.f64 beta 2)))))))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 5)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 3 (.f64 2 (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.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 (.f64 2 (+.f64 beta 2)) 3)))) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (.f64 -1 (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (pow.f64 alpha 4)))))))))
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 7 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 (+.f64 7 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 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 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (.f64 2 beta)))))))) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 3 (+.f64 4 (.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 -1 (.f64 (+.f64 6 (.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))))) (pow.f64 alpha 4))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5)) (+.f64 (.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 3 (.f64 2 (+.f64 beta 2))))) (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (+.f64 beta 2)) 3) (+.f64 (.f64 -1 (+.f64 (.f64 -6 (+.f64 beta 2)) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (.f64 (+.f64 3 (.f64 2 (+.f64 beta 2))) (+.f64 1 (.f64 -1 (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) 3) (pow.f64 alpha 3)))))))))
(/.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 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.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 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.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 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.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 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha)))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (.f64 2 alpha)) 2)) (+.f64 3 alpha)))) (+.f64 4 (.f64 2 alpha)))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (.f64 2 alpha)))) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (.f64 (pow.f64 beta 5) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 5))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))))))
1/3
(+.f64 (*.f64 2/9 alpha) 1/3)
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (.f64 -2/27 (pow.f64 alpha 2))))
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -2/27 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))

Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (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 4 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (+.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 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) (+.f64 4 (.f64 alpha 2))) (.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 4))))) (+.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 alpha) (.f64 (+.f64 alpha 3) (.f64 beta beta)))
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(+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (fma.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 alpha 2))) (.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (*.f64 beta beta)))))
(+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 3) (.f64 beta beta))) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha 2 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))))
(fma.f64 -1 (/.f64 (.f64 -3 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (fma.f64 -2 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (/.f64 1 (.f64 (+.f64 alpha 3) (.f64 beta beta))))))
(-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (-.f64 (/.f64 1 (.f64 (+.f64 alpha 3) (.f64 beta beta))) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha 2 4)))) (/.f64 -3 (/.f64 (pow.f64 beta 4) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (.f64 (pow.f64 beta 5) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 3 alpha)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)) (.f64 -4 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 5))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))))))))
(fma.f64 2 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (fma.f64 -1 (/.f64 (.f64 -3 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (fma.f64 -2 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 2 (/.f64 (.f64 -3 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 beta 5) (+.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 alpha 3) (.f64 beta beta))))))))
(+.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 alpha 3) (.f64 beta beta))) (+.f64 (-.f64 (/.f64 1 (.f64 (+.f64 alpha 3) (.f64 beta beta))) (.f64 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (fma.f64 alpha 2 4))) (/.f64 (.f64 -6 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 5) (+.f64 alpha 2))))) (fma.f64 2 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (+.f64 alpha 3))) (/.f64 (.f64 3 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 beta 4))))
1/3
(+.f64 (*.f64 2/9 alpha) 1/3)
(fma.f64 2/9 alpha 1/3)
(fma.f64 alpha 2/9 1/3)
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (.f64 -2/27 (pow.f64 alpha 2))))
(+.f64 (fma.f64 2/9 alpha 1/3) (.f64 (.f64 alpha alpha) -2/27))
(fma.f64 alpha 2/9 (fma.f64 (*.f64 alpha alpha) -2/27 1/3))
(+.f64 (.f64 2/9 alpha) (+.f64 1/3 (+.f64 (.f64 2/81 (pow.f64 alpha 3)) (*.f64 -2/27 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 2/9 alpha 1/3) (fma.f64 2/81 (pow.f64 alpha 3) (.f64 (.f64 alpha alpha) -2/27)))
(+.f64 (fma.f64 (pow.f64 alpha 3) 2/81 (.f64 (.f64 alpha alpha) -2/27)) (fma.f64 alpha 2/9 1/3))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 18 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 18 (pow.f64 alpha 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 1 (/.f64 2 alpha))
(+.f64 1 (/.f64 -2 alpha))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (.f64 2 (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 18 (pow.f64 alpha 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 18 (pow.f64 alpha 3))))

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))))
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
	0.0b	(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))
	0.0b	(*.f64 alpha (+.f64 beta (+.f64 2 alpha)))
✓	5.3b	(-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))
✓	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
✓	11.5b	(-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
✓	25.6b	(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))

series55.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	0	(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
7.0ms	alpha	@	inf	(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
5.0ms	beta	@	0	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
4.0ms	beta	@	0	(/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
3.0ms	beta	@	-inf	(-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`add-sqr-sqrt_binary64`
315×	`*-un-lft-identity_binary64`
315×	`pow1_binary64`
300×	`add-cbrt-cube_binary64`
300×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	166
1	607	166

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

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

simplify235.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
495×	`distribute-rgt-in_binary64`
485×	`distribute-lft-in_binary64`
304×	`times-frac_binary64`
274×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	11133
1	2205	8850

Stop Event

1×	node limit

Counts

276 → 317

Calls

Call 1

Inputs
(pow.f64 (+.f64 beta 2) 2)
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 alpha 2))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 4 (/.f64 1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (.f64 -1 (/.f64 (+.f64 8 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 4 (/.f64 1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 -1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 4 (/.f64 1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))))))
(pow.f64 beta 2)
(+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2))
(-.f64 (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (.f64 -1 (-.f64 (pow.f64 alpha 2) (+.f64 4 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 4 (+.f64 4 (.f64 2 alpha))))))))) (+.f64 (.f64 -1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (.f64 4 (+.f64 4 (.f64 2 alpha)))))
(-.f64 (+.f64 (.f64 beta (+.f64 4 (.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (+.f64 (.f64 4 (pow.f64 (+.f64 2 alpha) 2)) (.f64 4 (+.f64 4 (.f64 2 alpha))))) beta)) (.f64 -1 (-.f64 (pow.f64 alpha 2) (+.f64 4 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 4 (+.f64 4 (.f64 2 alpha)))))))))) (+.f64 (.f64 4 (/.f64 (-.f64 (.f64 -1 (-.f64 (pow.f64 alpha 2) (+.f64 4 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 4 (+.f64 4 (.f64 2 alpha))))))) (+.f64 (.f64 -1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (.f64 4 (+.f64 4 (.f64 2 alpha))))) beta)) (+.f64 (.f64 -1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) (+.f64 4 (.f64 2 alpha))) beta)) (.f64 4 (+.f64 4 (.f64 2 alpha)))))))
(pow.f64 beta 2)
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(-.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 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (+.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)))) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))) (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 5)) (+.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)))) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 4))))))))
(/.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 (.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 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.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 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))) (pow.f64 alpha 4))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 4)))))
(-.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))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 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))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 2 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (.f64 2 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)))))) (pow.f64 alpha 5))))))) (+.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 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))) (pow.f64 alpha 4))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 4)))))
(*.f64 -1 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(pow.f64 alpha 2)
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 -4 beta) (.f64 (+.f64 2 alpha) alpha)) (*.f64 2 (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(*.f64 -1 (pow.f64 beta 2))
(+.f64 (.f64 -4 beta) (.f64 -1 (pow.f64 beta 2)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(*.f64 -1 (pow.f64 beta 2))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (*.f64 -1 (pow.f64 beta 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (*.f64 2 (+.f64 2 alpha)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (*.f64 2 (+.f64 2 alpha)))

Outputs
(pow.f64 (+.f64 beta 2) 2)
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 4 (*.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (fma.f64 beta 2 4) alpha (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (pow.f64 alpha 2))
(fma.f64 2 (.f64 (+.f64 beta 2) alpha) (.f64 alpha alpha))
(*.f64 alpha (+.f64 (fma.f64 beta 2 4) alpha))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (+.f64 4 (.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2))
(fma.f64 2 (.f64 (+.f64 beta 2) alpha) (.f64 alpha alpha))
(*.f64 alpha (+.f64 (fma.f64 beta 2 4) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 2 (.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(+.f64 (fma.f64 (+.f64 4 (.f64 beta 2)) alpha (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha alpha))
(fma.f64 (fma.f64 beta 2 4) alpha (fma.f64 alpha alpha (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))
(/.f64 (+.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 2) -4)) (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (*.f64 alpha -2))))
(/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 alpha alpha -4)) (.f64 (+.f64 2 alpha) (-.f64 alpha 2)))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))))))
(+.f64 (.f64 beta (-.f64 (/.f64 (.f64 alpha alpha) (/.f64 (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (.f64 alpha -2))) (+.f64 4 (.f64 2 alpha)))) (fma.f64 -4 (/.f64 (+.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 2) -4)) (pow.f64 (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (.f64 alpha -2))) 2)) (.f64 4 (+.f64 (/.f64 (+.f64 4 (.f64 2 alpha)) (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (.f64 alpha -2)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (.f64 alpha -2))))))))) (/.f64 (+.f64 (.f64 (.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 2) -4)) (+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (*.f64 alpha -2)))))
(fma.f64 beta (-.f64 (/.f64 (.f64 alpha alpha) (/.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha 2)) (fma.f64 2 alpha 4))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 alpha alpha -4)) (pow.f64 (.f64 (+.f64 2 alpha) (-.f64 alpha 2)) 2)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 2 alpha) (-.f64 alpha 2))) (/.f64 (+.f64 16 (.f64 alpha 8)) (.f64 (+.f64 2 alpha) (-.f64 alpha 2)))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 alpha alpha -4)) (*.f64 (+.f64 2 alpha) (-.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 4 (/.f64 1 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (+.f64 (.f64 -4 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 alpha 2) (+.f64 4 (.f64 2 alpha))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))) (+.f64 (.f64 -4 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))) 2))) (+.f64 (.f64 4 (/.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))))))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))))) (.f64 4 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 (+.f64 2 alpha) alpha) (*.f64 2 (+.f64 2 alpha))))))
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(*.f64 beta beta)
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(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))) (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 5)) (+.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)))) (pow.f64 alpha 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 4))))))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (.f64 (neg.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))) (/.f64 (-.f64 (.f64 (neg.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 1) (.f64 (+.f64 4 (.f64 beta 2)) (+.f64 beta 3)) (.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7)))))))) (/.f64 (pow.f64 alpha 5) (+.f64 beta (+.f64 (.f64 beta 2) 7))))) (+.f64 (/.f64 (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))))) (/.f64 (pow.f64 alpha 4) (+.f64 beta (+.f64 (.f64 beta 2) 7)))) (+.f64 (/.f64 (.f64 (+.f64 beta (-.f64 1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))))) (.f64 (+.f64 4 (.f64 beta 2)) (+.f64 beta 3))) (pow.f64 alpha 5)) (fma.f64 -1 (/.f64 (.f64 (.f64 (+.f64 4 (.f64 beta 2)) (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (pow.f64 alpha 3)) (/.f64 (.f64 (.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 4 (*.f64 beta 2))) (pow.f64 alpha 4)))))))
(-.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta -1 -1)) (fma.f64 (+.f64 beta 1) (.f64 (fma.f64 beta 2 4) (+.f64 beta 3)) (.f64 (+.f64 beta (fma.f64 beta 2 7)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 beta 2 7))))))) (/.f64 (pow.f64 alpha 5) (+.f64 beta (fma.f64 beta 2 7)))) (+.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 beta 2 7)))) (pow.f64 alpha 4)) (+.f64 beta (fma.f64 beta 2 7))) (/.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 beta 2 7)))) (/.f64 (/.f64 (pow.f64 alpha 5) (fma.f64 beta 2 4)) (+.f64 beta 3)))) (-.f64 (+.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 beta (fma.f64 beta 2 7)))) (/.f64 (+.f64 beta 1) (/.f64 (/.f64 (pow.f64 alpha 4) (+.f64 beta 3)) (fma.f64 beta 2 4)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 5)) (*.f64 2 (pow.f64 (+.f64 beta 2) 3)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(+.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))))
(fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 1 (.f64 alpha alpha))))
(-.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 1 (.f64 alpha alpha))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (pow.f64 alpha 3)))
(-.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))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.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 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))) (pow.f64 alpha 4))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 1 (.f64 alpha alpha))))) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (/.f64 (pow.f64 alpha 4) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 1 (.f64 alpha alpha))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (/.f64 (pow.f64 alpha 4) (+.f64 beta 3)) (fma.f64 beta 2 4))) (/.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (+.f64 (fma.f64 beta -1 -1) (*.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))))))
(-.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))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 2 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 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))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 2 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (.f64 2 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)))))) (pow.f64 alpha 5))))))) (+.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 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))) (pow.f64 alpha 4))) (.f64 2 (/.f64 (.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 alpha 4)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 alpha alpha)) (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (fma.f64 2 (.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (.f64 (+.f64 beta 2) (+.f64 beta 3))) (fma.f64 -1 (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (-.f64 (.f64 (neg.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -1 (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))))) (.f64 2 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (.f64 2 (.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta 1)))))) (pow.f64 alpha 5))))))) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (/.f64 (pow.f64 alpha 4) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(-.f64 (-.f64 (-.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (.f64 (.f64 (+.f64 (fma.f64 beta -1 -1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (+.f64 beta 3)) (fma.f64 beta 2 4))) (fma.f64 (neg.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))) (-.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta -1 -1)) (-.f64 (.f64 (+.f64 beta 3) (.f64 (fma.f64 beta 2 4) (+.f64 beta 1))) (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (+.f64 (fma.f64 beta -1 -1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))))) (.f64 2 (.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta 1))))) (pow.f64 alpha 5)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (fma.f64 beta -1 -1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (/.f64 (pow.f64 alpha 4) (+.f64 beta 3)) (fma.f64 beta 2 4))) (/.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (+.f64 (fma.f64 beta -1 -1) (.f64 (+.f64 beta 1) (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))))))
(*.f64 -1 (pow.f64 (+.f64 beta 2) 2))
(neg.f64 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(fma.f64 -1 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))
(-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))
(-.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 2 (+.f64 2 alpha)))
(+.f64 (.f64 alpha (+.f64 2 alpha)) (+.f64 -4 (.f64 alpha -2)))
(*.f64 (+.f64 2 alpha) (-.f64 alpha 2))
(-.f64 (+.f64 (.f64 -4 beta) (.f64 (+.f64 2 alpha) alpha)) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -4 beta (.f64 alpha (+.f64 2 alpha))) (+.f64 -4 (.f64 alpha -2)))
(fma.f64 beta -4 (*.f64 (+.f64 2 alpha) (-.f64 alpha 2)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -4 beta (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (.f64 alpha -2)))
(fma.f64 beta -4 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -4 beta (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (.f64 alpha -2)))
(fma.f64 beta -4 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (fma.f64 2 alpha 4)))
(*.f64 -1 (pow.f64 beta 2))
(neg.f64 (*.f64 beta beta))
(*.f64 beta (neg.f64 beta))
(+.f64 (.f64 -4 beta) (.f64 -1 (pow.f64 beta 2)))
(fma.f64 -4 beta (neg.f64 (*.f64 beta beta)))
(-.f64 (.f64 beta -4) (.f64 beta beta))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -4 beta (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (.f64 alpha -2)))
(fma.f64 beta -4 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (.f64 -4 beta) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -4 beta (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (.f64 alpha -2)))
(fma.f64 beta -4 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (fma.f64 2 alpha 4)))
(*.f64 -1 (pow.f64 beta 2))
(neg.f64 (*.f64 beta beta))
(*.f64 beta (neg.f64 beta))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (*.f64 -1 (pow.f64 beta 2)))
(fma.f64 -1 (.f64 beta (-.f64 (+.f64 2 (neg.f64 alpha)) (+.f64 -2 (neg.f64 alpha)))) (neg.f64 (.f64 beta beta)))
(neg.f64 (*.f64 beta (+.f64 (+.f64 (-.f64 2 alpha) (+.f64 2 alpha)) beta)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -1 (.f64 beta (-.f64 (+.f64 2 (neg.f64 alpha)) (+.f64 -2 (neg.f64 alpha)))) (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (*.f64 alpha -2)))
(-.f64 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (*.f64 beta (+.f64 (-.f64 2 alpha) (+.f64 2 alpha)))) (fma.f64 2 alpha 4))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (+.f64 2 (.f64 -1 alpha)) (.f64 -1 (+.f64 2 alpha))))) (+.f64 (.f64 (+.f64 2 alpha) alpha) (.f64 -1 (pow.f64 beta 2)))) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (fma.f64 -1 (.f64 beta (-.f64 (+.f64 2 (neg.f64 alpha)) (+.f64 -2 (neg.f64 alpha)))) (fma.f64 (+.f64 2 alpha) alpha (neg.f64 (.f64 beta beta)))) (+.f64 -4 (*.f64 alpha -2)))
(-.f64 (-.f64 (-.f64 (.f64 alpha (+.f64 2 alpha)) (.f64 beta beta)) (*.f64 beta (+.f64 (-.f64 2 alpha) (+.f64 2 alpha)))) (fma.f64 2 alpha 4))

eval1.8s (14.1%)

Compiler: Compiled 60265 to 44778 computations (25.7% saved)

prune211.0ms (1.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1104	20	1124
Fresh	8	7	15
Picked	1	0	1
Done	3	1	4
Total	1116	28	1144

Error

0.2b

Counts

1144 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	36.6b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (*.f64 2 (+.f64 beta (+.f64 2 alpha))))))
▶	29.0b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
	36.3b	(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	19.3b	(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
▶	62.7b	(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
	29.1b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	25.6b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
✓	28.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	25.8b	(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
	21.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	4.4b	(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))
	33.8b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.9b	(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	5.0b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 3))
	25.7b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	55.0b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (.f64 beta (neg.f64 beta)))))
	29.5b	(/.f64 1 (*.f64 beta beta))
▶	5.3b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
▶	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
	9.5b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	61.5b	(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
	7.9b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) (*.f64 2 beta))))))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
	40.3b	(/.f64 (/.f64 alpha beta) beta)
	27.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
▶	60.3b	(/.f64 1 beta)

Compiler

Compiled 1069 to 776 computations (27.4% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series14.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`prod-diff_binary64`
313×	`log1p-udef_binary64`
312×	`expm1-udef_binary64`
179×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	343	25
2	5389	25

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-+l+_binary64`
601×	`associate-l_binary64`
596×	`associate-r_binary64`
301×	`associate-/r*_binary64`
245×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1893
1	603	1845
2	2546	1712

Stop Event

1×	node limit

Counts

67 → 79

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))))) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) (.f64 (.f64 beta beta) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4)))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))))) (/.f64 1/6 (+.f64 2 alpha))) (.f64 beta (.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)))))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 2 alpha))))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(fma.f64 (neg.f64 (pow.f64 beta 3)) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4)))) (.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4)))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) (.f64 (.f64 beta beta) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (.f64 3 (+.f64 alpha 4)))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))))) (/.f64 1/6 (+.f64 2 alpha))) (.f64 (.f64 beta beta) (+.f64 (.f64 beta (fma.f64 1/6 (.f64 (/.f64 (+.f64 alpha 7) (+.f64 2 alpha)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)))))) (fma.f64 -1/6 (.f64 (/.f64 (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)) (+.f64 2 alpha)) (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))))))))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1/36 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (+.f64 (.f64 2 alpha) 16) (*.f64 alpha 3)))))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (.f64 -1 (+.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (.f64 -1 (+.f64 (/.f64 (fma.f64 6 (+.f64 2 alpha) (fma.f64 -1 (.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))) (neg.f64 (.f64 (+.f64 alpha 7) (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (.f64 alpha 2)))))))) (pow.f64 beta 5)) (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 alpha 2)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (.f64 alpha 3))) (.f64 (+.f64 alpha 7) (+.f64 alpha 6)))) (pow.f64 beta 4)) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (neg.f64 (fma.f64 (+.f64 alpha 6) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (.f64 alpha 3))) (.f64 (+.f64 alpha 7) (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))))))) (pow.f64 beta 5))) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3))) (pow.f64 beta 4)) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (fma.f64 (+.f64 (+.f64 (.f64 2 alpha) 16) (.f64 alpha 3)) (-.f64 -6 alpha) (.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (.f64 2 alpha) 16) (*.f64 alpha 3))) (-.f64 -7 alpha)))) (pow.f64 beta 5)))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (.f64 (+.f64 alpha 6) (neg.f64 (+.f64 alpha 7))) (fma.f64 (+.f64 2 alpha) -5 -6)) (pow.f64 beta 4)))
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (fma.f64 (+.f64 alpha 6) (-.f64 -7 alpha) (-.f64 10 (fma.f64 alpha -5 -6))) (pow.f64 beta 4))))
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(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 beta 3))))
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(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 beta 3)))) (/.f64 beta (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 beta 3))))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)))
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(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta))))
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(/.f64 (+.f64 beta 1) (.f64 (+.f64 2 beta) (.f64 alpha (+.f64 beta 3))))
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localize2.0ms (0%)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
✓	0.1b	(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
815×	`add-log-exp_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2190	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
971×	`associate-/l/_binary64`
561×	`fabs-mul_binary64`
561×	`cube-prod_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	19	285
2	30	285
3	53	285
4	121	285
5	371	285
6	1325	285
7	2173	285
8	2337	285
9	2521	285
10	2729	285
11	3022	285
12	3415	285
13	3893	285
14	4456	285
15	5148	285
16	5983	285
17	6379	285
18	6667	285
19	6947	285
20	7021	285
21	7055	285

Stop Event

1×	node limit

Counts

61 → 45

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`prod-diff_binary64`
495×	`fma-def_binary64`
301×	`fma-neg_binary64`
271×	`log1p-udef_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	294	22
2	4718	22

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
604×	`distribute-rgt-in_binary64`
582×	`distribute-lft-in_binary64`
455×	`associate-l_binary64`
438×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1502
1	545	1455
2	2065	1339

Stop Event

1×	node limit

Counts

65 → 79

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.0b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
	0.1b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	0.0b	(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha)))
	0.0b	(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
✓	0.0b	(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
✓	0.0b	(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
✓	5.0b	(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))

series23.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

444×	`fma-neg_binary64`
359×	`log1p-udef_binary64`
358×	`expm1-udef_binary64`
208×	`add-sqr-sqrt_binary64`
203×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	397	88
2	6538	88

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
800×	`distribute-lft-in_binary64`
507×	`fma-def_binary64`
337×	`times-frac_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	8927
1	2378	8425

Stop Event

1×	node limit

Counts

273 → 316

Calls

Call 1

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

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

eval730.0ms (5.6%)

Compiler: Compiled 32590 to 23994 computations (26.4% saved)

prune156.0ms (1.2%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	755	18	773
Fresh	13	9	22
Picked	1	0	1
Done	3	2	5
Total	772	29	801

Error

Counts

801 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
	21.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	33.5b	(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
▶	9.6b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
	4.6b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
	34.2b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
▶	29.0b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	19.3b	(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	4.8b	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 3))
	29.1b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	25.2b	(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
	9.4b	(.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta -9)) (+.f64 beta -3))
✓	28.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	25.8b	(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
	17.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	29.4b	(/.f64 (/.f64 1 beta) beta)
	40.3b	(/.f64 (/.f64 alpha beta) beta)
	33.8b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
	5.0b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 3))
	25.7b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	29.5b	(/.f64 1 (*.f64 beta beta))
✓	60.3b	(/.f64 1 beta)
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
▶	37.8b	(/.f64 1/6 (+.f64 2 alpha))
▶	29.7b	(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
	27.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	55.0b	(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (.f64 beta (neg.f64 beta)))))

Compiler

Compiled 946 to 690 computations (27.1% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series28.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Expression
13.0ms	beta	@	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))
1.0ms	alpha	@	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
1.0ms	beta	@	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
1.0ms	alpha	@	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))
1.0ms	beta	@	(/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2)))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

371×	`log1p-udef_binary64`
370×	`expm1-udef_binary64`
216×	`add-sqr-sqrt_binary64`
211×	`*-un-lft-identity_binary64`
211×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	466	85
2	6897	85

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

823×	`distribute-rgt-in_binary64`
802×	`distribute-lft-in_binary64`
563×	`fma-def_binary64`
372×	`times-frac_binary64`
348×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	623	9160
1	2417	8655

Stop Event

1×	node limit

Counts

264 → 316

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1/6 (+.f64 2 alpha))
✓	0.1b	(/.f64 1/6 (+.f64 2 alpha))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 1/6 (+.f64 2 alpha))
0.0ms	alpha	@	inf	(/.f64 1/6 (+.f64 2 alpha))
0.0ms	alpha	@	-inf	(/.f64 1/6 (+.f64 2 alpha))

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
670×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1750	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1/6 (+.f64 2 alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/6 (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/6 (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/6 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 2 alpha))) 2) (cbrt.f64 (/.f64 1/6 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/6 (+.f64 2 alpha))) (sqrt.f64 (/.f64 1/6 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 alpha)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 (+.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/6 (+.f64 2 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/6 (+.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 alpha) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/6 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/6 (+.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/6 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/6 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/6 (+.f64 2 alpha))))))))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

820×	`distribute-neg-frac_binary64`
761×	`fma-def_binary64`
725×	`associate-l_binary64`
460×	`associate-r_binary64`
417×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	181
1	103	179
2	247	177
3	629	171
4	1866	168
5	7269	168

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
1/12
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (.f64 -1/24 alpha) (+.f64 1/12 (.f64 1/48 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/24 alpha) (+.f64 1/12 (+.f64 (.f64 -1/96 (pow.f64 alpha 3)) (*.f64 1/48 (pow.f64 alpha 2)))))
(/.f64 1/6 alpha)
(-.f64 (.f64 1/6 (/.f64 1 alpha)) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 4))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1/6 alpha)
(-.f64 (.f64 1/6 (/.f64 1 alpha)) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 4))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))

Outputs
1/12
(+.f64 (*.f64 -1/24 alpha) 1/12)
(fma.f64 -1/24 alpha 1/12)
(+.f64 (.f64 -1/24 alpha) (+.f64 1/12 (.f64 1/48 (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1/24 alpha 1/12) (.f64 1/48 (.f64 alpha alpha)))
(fma.f64 -1/24 alpha (fma.f64 1/48 (*.f64 alpha alpha) 1/12))
(fma.f64 -1/24 alpha (fma.f64 alpha (*.f64 alpha 1/48) 1/12))
(fma.f64 alpha (fma.f64 alpha 1/48 -1/24) 1/12)
(+.f64 (.f64 -1/24 alpha) (+.f64 1/12 (+.f64 (.f64 -1/96 (pow.f64 alpha 3)) (*.f64 1/48 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 -1/24 alpha 1/12) (fma.f64 -1/96 (pow.f64 alpha 3) (.f64 1/48 (.f64 alpha alpha))))
(+.f64 (fma.f64 1/48 (.f64 alpha alpha) (.f64 -1/96 (pow.f64 alpha 3))) (fma.f64 -1/24 alpha 1/12))
(fma.f64 -1/24 alpha (fma.f64 alpha (*.f64 alpha 1/48) (fma.f64 -1/96 (pow.f64 alpha 3) 1/12)))
(fma.f64 alpha (fma.f64 alpha 1/48 -1/24) (fma.f64 -1/96 (pow.f64 alpha 3) 1/12))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/96 1/48) -1/24) 1/12)
(/.f64 1/6 alpha)
(-.f64 (.f64 1/6 (/.f64 1 alpha)) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/6 alpha) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/6 alpha) (/.f64 -1/3 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/6 alpha) (/.f64 (/.f64 1/3 alpha) alpha))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/6 alpha) (-.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 1/3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/6 alpha) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 -1/3 (*.f64 alpha alpha))))
(+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (-.f64 (/.f64 1/6 alpha) (/.f64 (/.f64 1/3 alpha) alpha)))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 4))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 4/3 (pow.f64 alpha 4))) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 -1/3 (*.f64 alpha alpha))) (/.f64 4/3 (pow.f64 alpha 4))))
(+.f64 (/.f64 -1/3 (*.f64 alpha alpha)) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (+.f64 (/.f64 1/6 alpha) (/.f64 -4/3 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/6 alpha) (+.f64 (/.f64 -4/3 (pow.f64 alpha 4)) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 -1/3 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -1/3 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 -4/3 (pow.f64 alpha 4))))
(/.f64 1/6 alpha)
(-.f64 (.f64 1/6 (/.f64 1 alpha)) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1/6 alpha) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/6 alpha) (/.f64 -1/3 (*.f64 alpha alpha)))
(-.f64 (/.f64 1/6 alpha) (/.f64 (/.f64 1/3 alpha) alpha))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 1/6 alpha) (-.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 1/3 (*.f64 alpha alpha))))
(+.f64 (/.f64 1/6 alpha) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 -1/3 (*.f64 alpha alpha))))
(+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (-.f64 (/.f64 1/6 alpha) (/.f64 (/.f64 1/3 alpha) alpha)))
(-.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 alpha 3))) (.f64 1/6 (/.f64 1 alpha))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 alpha 4))) (.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 4/3 (pow.f64 alpha 4))) (/.f64 1/3 (*.f64 alpha alpha)))
(+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 -1/3 (*.f64 alpha alpha))) (/.f64 4/3 (pow.f64 alpha 4))))
(+.f64 (/.f64 -1/3 (*.f64 alpha alpha)) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (+.f64 (/.f64 1/6 alpha) (/.f64 -4/3 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1/6 alpha) (+.f64 (/.f64 -4/3 (pow.f64 alpha 4)) (+.f64 (/.f64 2/3 (pow.f64 alpha 3)) (/.f64 -1/3 (*.f64 alpha alpha)))))
(+.f64 (/.f64 -1/3 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1/6 alpha) (/.f64 2/3 (pow.f64 alpha 3))) (/.f64 -4/3 (pow.f64 alpha 4))))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
771×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2102	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

752×	`distribute-neg-frac_binary64`
577×	`times-frac_binary64`
493×	`associate-l_binary64`
474×	`fma-def_binary64`
346×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	208
1	108	206
2	242	204
3	586	201
4	1715	201
5	6977	201

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

Inputs
(/.f64 1/3 beta)
(-.f64 (*.f64 1/3 (/.f64 1 beta)) 1/9)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (.f64 1/27 beta)) 1/9)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/81 (pow.f64 beta 2)) (*.f64 1/27 beta))) 1/9)
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 3))) (*.f64 27 (/.f64 1 (pow.f64 beta 5)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 3))) (*.f64 27 (/.f64 1 (pow.f64 beta 5)))))

Outputs
(/.f64 1/3 beta)
(-.f64 (*.f64 1/3 (/.f64 1 beta)) 1/9)
(+.f64 (/.f64 1/3 beta) -1/9)
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (.f64 1/27 beta)) 1/9)
(+.f64 (/.f64 1/3 beta) (-.f64 (*.f64 beta 1/27) 1/9))
(+.f64 (/.f64 1/3 beta) (fma.f64 beta 1/27 -1/9))
(fma.f64 beta 1/27 (+.f64 (/.f64 1/3 beta) -1/9))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/81 (pow.f64 beta 2)) (*.f64 1/27 beta))) 1/9)
(+.f64 (/.f64 1/3 beta) (-.f64 (fma.f64 -1/81 (.f64 beta beta) (.f64 beta 1/27)) 1/9))
(+.f64 (/.f64 1/3 beta) (+.f64 (.f64 -1/81 (.f64 beta beta)) (fma.f64 beta 1/27 -1/9)))
(+.f64 (/.f64 1/3 beta) (fma.f64 -1/81 (*.f64 beta beta) (fma.f64 beta 1/27 -1/9)))
(+.f64 (/.f64 1/3 beta) (fma.f64 beta (fma.f64 beta -1/81 1/27) -1/9))
(+.f64 (fma.f64 beta (fma.f64 beta -1/81 1/27) (/.f64 1/3 beta)) -1/9)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -3 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 3 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 3))) (*.f64 27 (/.f64 1 (pow.f64 beta 5)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 9 (pow.f64 beta 4)) (+.f64 (/.f64 3 (pow.f64 beta 3)) (/.f64 27 (pow.f64 beta 5)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3))) (/.f64 27 (pow.f64 beta 5))))
(+.f64 (/.f64 9 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 -27 (pow.f64 beta 5)) (/.f64 3 (pow.f64 beta 3)))))
(+.f64 (/.f64 -3 (pow.f64 beta 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 9 (pow.f64 beta 4))) (/.f64 27 (pow.f64 beta 5))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -3 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 3 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 9 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 beta 3))) (*.f64 27 (/.f64 1 (pow.f64 beta 5)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 9 (pow.f64 beta 4)) (+.f64 (/.f64 3 (pow.f64 beta 3)) (/.f64 27 (pow.f64 beta 5)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 9 (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3))) (/.f64 27 (pow.f64 beta 5))))
(+.f64 (/.f64 9 (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 -27 (pow.f64 beta 5)) (/.f64 3 (pow.f64 beta 3)))))
(+.f64 (/.f64 -3 (pow.f64 beta 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 9 (pow.f64 beta 4))) (/.f64 27 (pow.f64 beta 5))))

localize27.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	2.6b	(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
	0.1b	(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
	0.0b	(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)))
✓	0.0b	(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)))
✓	0.1b	(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
✓	2.6b	(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`log-prod_binary64`
496×	`fma-def_binary64`
335×	`log-div_binary64`
326×	`fma-neg_binary64`
273×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	310	44
2	4796	44

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -3 (pow.f64 beta -2)) (-.f64 (*.f64 alpha (pow.f64 beta -2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 -3 alpha) (pow.f64 beta -2) (/.f64 1 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 beta -2) (/.f64 (-.f64 1 (/.f64 (-.f64 -3 alpha) beta)) beta)) (/.f64 (/.f64 (pow.f64 (-.f64 -3 alpha) 2) (pow.f64 beta 4)) (/.f64 (-.f64 1 (/.f64 (-.f64 -3 alpha) beta)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 beta) (*.f64 -3 (pow.f64 beta -2))) (*.f64 alpha (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 -3 alpha) (pow.f64 beta -2) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 -3 alpha) (pow.f64 beta -2) (/.f64 1 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 beta (+.f64 beta (-.f64 -3 alpha)))) beta) (pow.f64 (/.f64 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simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-/r*_binary64`
618×	`times-frac_binary64`
469×	`associate-/l*_binary64`
385×	`fma-def_binary64`
333×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1639
1	307	1497
2	903	1411
3	2910	1191

Stop Event

1×	node limit

Counts

238 → 206

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 beta 2))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(*.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))) (*.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (.f64 -1/3 (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))))) (*.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/3 (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))) (.f64 1/9 (.f64 beta (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))))))) (.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -3 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 4))))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -3 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 4))) (.f64 9 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 5)))))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 3 (/.f64 (+.f64 6 alpha) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -9 (/.f64 (+.f64 6 alpha) (pow.f64 beta 5))) (*.f64 3 (/.f64 (+.f64 6 alpha) (pow.f64 beta 4))))))
(/.f64 (-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) (+.f64 beta 3))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))

Outputs
(/.f64 -3 (pow.f64 beta 2))
(/.f64 -3 (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(neg.f64 (/.f64 alpha (*.f64 beta beta)))
(/.f64 (neg.f64 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(neg.f64 (/.f64 alpha (*.f64 beta beta)))
(/.f64 (neg.f64 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(-.f64 (.f64 -1 (/.f64 alpha (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(*.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(/.f64 (.f64 -1/3 (+.f64 alpha 3)) (.f64 beta beta))
(/.f64 (+.f64 -1 (.f64 alpha -1/3)) (.f64 beta beta))
(/.f64 (fma.f64 alpha -1/3 -1) (*.f64 beta beta))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))) (*.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(-.f64 (+.f64 (/.f64 (.f64 -1/3 (+.f64 alpha 3)) (.f64 beta beta)) (/.f64 1/3 beta)) (/.f64 (+.f64 -1/3 (*.f64 -1/9 alpha)) beta))
(+.f64 (/.f64 1/3 beta) (fma.f64 (/.f64 (+.f64 alpha 3) (.f64 beta beta)) -1/3 (/.f64 (+.f64 1/3 (.f64 alpha 1/9)) beta)))
(+.f64 (/.f64 1/3 beta) (*.f64 (/.f64 (+.f64 alpha 3) beta) (-.f64 (/.f64 -1/3 beta) -1/9)))
(+.f64 (/.f64 1/3 beta) (*.f64 (/.f64 (+.f64 alpha 3) beta) (+.f64 (/.f64 -1/3 beta) 1/9)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (.f64 -1/3 (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))))) (*.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(+.f64 (/.f64 1/3 beta) (-.f64 (.f64 -1/3 (+.f64 (/.f64 (+.f64 alpha 3) (.f64 beta beta)) (-.f64 1/3 (+.f64 -1/3 (.f64 -1/9 alpha))))) (/.f64 (+.f64 -1/3 (.f64 -1/9 alpha)) beta)))
(+.f64 (/.f64 1/3 beta) (fma.f64 -1/3 (+.f64 (/.f64 (+.f64 alpha 3) (.f64 beta beta)) (-.f64 2/3 (.f64 alpha -1/9))) (/.f64 (+.f64 1/3 (*.f64 alpha 1/9)) beta)))
(+.f64 (/.f64 1/3 beta) (fma.f64 -1/3 (+.f64 (.f64 alpha 1/9) 2/3) (.f64 (/.f64 (+.f64 alpha 3) beta) (-.f64 (/.f64 -1/3 beta) -1/9))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 3) beta) (+.f64 (/.f64 -1/3 beta) 1/9)) (fma.f64 -1/3 (+.f64 (.f64 alpha 1/9) 2/3) (/.f64 1/3 beta)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 beta)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1/3 (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))) (.f64 1/9 (.f64 beta (-.f64 1/3 (.f64 -1/9 (+.f64 3 alpha)))))))) (.f64 -1/9 (/.f64 (+.f64 3 alpha) beta)))
(+.f64 (/.f64 1/3 beta) (-.f64 (fma.f64 -1/3 (/.f64 (+.f64 alpha 3) (.f64 beta beta)) (fma.f64 -1/3 (-.f64 1/3 (+.f64 -1/3 (.f64 -1/9 alpha))) (.f64 (.f64 1/9 beta) (-.f64 1/3 (+.f64 -1/3 (.f64 -1/9 alpha)))))) (/.f64 (+.f64 -1/3 (.f64 -1/9 alpha)) beta)))
(+.f64 (/.f64 1/3 beta) (+.f64 (.f64 (-.f64 2/3 (.f64 alpha -1/9)) (+.f64 -1/3 (.f64 beta 1/9))) (fma.f64 (/.f64 (+.f64 alpha 3) (.f64 beta beta)) -1/3 (/.f64 (+.f64 1/3 (*.f64 alpha 1/9)) beta))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 3) beta) (-.f64 (/.f64 -1/3 beta) -1/9)) (fma.f64 (+.f64 (.f64 alpha 1/9) 2/3) (fma.f64 beta 1/9 -1/3) (/.f64 1/3 beta)))
(+.f64 (.f64 (/.f64 (+.f64 alpha 3) beta) (+.f64 (/.f64 -1/3 beta) 1/9)) (fma.f64 (+.f64 (.f64 alpha 1/9) 2/3) (fma.f64 beta 1/9 -1/3) (/.f64 1/3 beta)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 3) (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta))) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (/.f64 -3 (pow.f64 beta 3)))
(+.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 3 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -3 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 4))))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 3) (pow.f64 beta 3)) (/.f64 1 (.f64 beta beta))) (/.f64 (.f64 -3 (fma.f64 -1 (+.f64 alpha 3) -3)) (pow.f64 beta 4))) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (-.f64 (fma.f64 -3 (/.f64 (fma.f64 -1 (+.f64 alpha 3) -3) (pow.f64 beta 4)) (/.f64 1 (*.f64 beta beta))) (/.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (/.f64 -3 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) (fma.f64 -3 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (+.f64 -1 (/.f64 3 beta))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -3 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 4))) (.f64 9 (/.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 3) (pow.f64 beta 5)))))) (.f64 3 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 3) (pow.f64 beta 3)) (/.f64 1 (.f64 beta beta))) (fma.f64 -3 (/.f64 (fma.f64 -1 (+.f64 alpha 3) -3) (pow.f64 beta 4)) (.f64 9 (/.f64 (fma.f64 -1 (+.f64 alpha 3) -3) (pow.f64 beta 5))))) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (-.f64 (fma.f64 9 (/.f64 (fma.f64 -1 (+.f64 alpha 3) -3) (pow.f64 beta 5)) (/.f64 -3 (/.f64 (pow.f64 beta 4) (fma.f64 -1 (+.f64 alpha 3) -3)))) (/.f64 3 (pow.f64 beta 3))))
(+.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) (+.f64 (fma.f64 -3 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 4)) (/.f64 1 (*.f64 beta beta))) (fma.f64 9 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 5)) (/.f64 -3 (pow.f64 beta 3)))))
(+.f64 (fma.f64 9 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 5)) (/.f64 1 (.f64 beta beta))) (.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (+.f64 -1 (/.f64 3 beta))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 3) (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta))) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (/.f64 -3 (pow.f64 beta 3)))
(+.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 3 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 3 (/.f64 (+.f64 6 alpha) (pow.f64 beta 4)))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 3) (pow.f64 beta 3)) (/.f64 1 (.f64 beta beta))) (/.f64 (.f64 -3 (fma.f64 -1 (+.f64 alpha 3) -3)) (pow.f64 beta 4))) (/.f64 3 (pow.f64 beta 3)))
(+.f64 (-.f64 (fma.f64 -3 (/.f64 (fma.f64 -1 (+.f64 alpha 3) -3) (pow.f64 beta 4)) (/.f64 1 (*.f64 beta beta))) (/.f64 (+.f64 alpha 3) (pow.f64 beta 3))) (/.f64 -3 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) (fma.f64 -3 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 4)) (/.f64 -3 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta beta)) (.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (+.f64 -1 (/.f64 3 beta))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -9 (/.f64 (+.f64 6 alpha) (pow.f64 beta 5))) (*.f64 3 (/.f64 (+.f64 6 alpha) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (fma.f64 -9 (/.f64 (+.f64 alpha 6) (pow.f64 beta 5)) (.f64 3 (/.f64 (+.f64 alpha 6) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (-.f64 (fma.f64 3 (/.f64 (+.f64 alpha 6) (pow.f64 beta 4)) (.f64 -9 (/.f64 (+.f64 alpha 6) (pow.f64 beta 5)))) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 alpha 3 18) (pow.f64 beta 4))) (+.f64 (/.f64 (fma.f64 alpha -9 -54) (pow.f64 beta 5)) (/.f64 1 (*.f64 beta beta))))
(+.f64 (.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (+.f64 -1 (/.f64 3 beta))) (+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 alpha -9 -54) (pow.f64 beta 5))))
(/.f64 (-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) (+.f64 beta 3))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (/.f64 3 (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3))))
(/.f64 (/.f64 (neg.f64 alpha) (*.f64 beta beta)) (+.f64 beta 3))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))
(neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3))))
(/.f64 (/.f64 (neg.f64 alpha) (*.f64 beta beta)) (+.f64 beta 3))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (.f64 -1 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 beta 3))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (/.f64 1 (.f64 beta (+.f64 beta 3))) (-.f64 (neg.f64 (/.f64 alpha (.f64 (.f64 beta beta) (+.f64 beta 3)))) (/.f64 3 (.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 (neg.f64 alpha) (.f64 beta beta)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)))
(-.f64 (/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (.f64 beta beta))) (+.f64 beta 3)) (/.f64 alpha (.f64 beta (*.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (.f64 (/.f64 (/.f64 -1 beta) (.f64 beta (+.f64 beta 3))) (+.f64 alpha 3)))
(*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2)))
(-.f64 (neg.f64 (/.f64 alpha (.f64 beta beta))) (/.f64 3 (.f64 beta beta)))
(fma.f64 -1 (/.f64 alpha (.f64 beta beta)) (/.f64 -3 (.f64 beta beta)))
(-.f64 (/.f64 -3 (.f64 beta beta)) (/.f64 alpha (.f64 beta beta)))
(/.f64 (-.f64 -3 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.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 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(neg.f64 (/.f64 alpha (*.f64 beta beta)))
(/.f64 (neg.f64 alpha) (*.f64 beta beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha (pow.f64 beta 2)))
(neg.f64 (/.f64 alpha (*.f64 beta beta)))
(/.f64 (neg.f64 alpha) (*.f64 beta beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 -1 (/.f64 alpha (pow.f64 beta 2)))) (.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 3)) (*.f64 beta beta)) (/.f64 1 beta))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 3) (*.f64 beta beta)))
(+.f64 (/.f64 (-.f64 -3 alpha) (*.f64 beta beta)) (/.f64 1 beta))

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	6.6b	(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3)))
	0.0b	(.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))
	0.0b	(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))
✓	0.0b	(.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))
✓	6.6b	(/.f64 (+.f64 beta 1) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3)))

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`fma-def_binary64`
381×	`fma-neg_binary64`
307×	`log1p-udef_binary64`
306×	`expm1-udef_binary64`
235×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	343	57
2	5494	57

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

676×	`associate-l_binary64`
670×	`associate-r_binary64`
302×	`associate-/r*_binary64`
245×	`times-frac_binary64`
237×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2770
1	728	2640
2	3116	2505

Stop Event

1×	node limit

Counts

261 → 270

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
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(fma.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7)) (.f64 (+.f64 (*.f64 alpha -5) -16) (neg.f64 beta)))
(+.f64 (pow.f64 beta 3) (+.f64 (.f64 (pow.f64 beta 2) (+.f64 7 alpha)) (+.f64 (.f64 6 (+.f64 2 alpha)) (.f64 -1 (.f64 beta (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))))))
(+.f64 (pow.f64 beta 3) (fma.f64 (.f64 beta beta) (+.f64 alpha 7) (fma.f64 6 (+.f64 2 alpha) (neg.f64 (.f64 beta (fma.f64 -5 (+.f64 2 alpha) -6))))))
(+.f64 (.f64 (.f64 beta beta) (+.f64 beta (+.f64 alpha 7))) (-.f64 (+.f64 12 (.f64 alpha 6)) (.f64 beta (fma.f64 (+.f64 2 alpha) -5 -6))))
(+.f64 (.f64 beta (.f64 beta (+.f64 beta (+.f64 alpha 7)))) (fma.f64 (neg.f64 beta) (+.f64 (.f64 alpha -5) -16) (+.f64 12 (.f64 alpha 6))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))
(.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta)))
(.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))
(.f64 (+.f64 beta 3) (.f64 alpha (+.f64 2 beta)))
(.f64 alpha (.f64 (+.f64 beta 3) (+.f64 2 beta)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(.f64 (+.f64 beta 3) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 alpha (+.f64 2 beta))))
(.f64 (+.f64 beta 3) (.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)))
(*.f64 2 (+.f64 2 alpha))
(+.f64 4 (*.f64 alpha 2))
(+.f64 4 (*.f64 2 alpha))
(+.f64 (.f64 (+.f64 4 alpha) beta) (.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 alpha 4) beta (+.f64 4 (*.f64 alpha 2)))
(fma.f64 2 (+.f64 2 alpha) (*.f64 beta (+.f64 alpha 4)))
(+.f64 (.f64 (+.f64 4 alpha) beta) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 alpha 4) beta (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta beta)))
(fma.f64 beta (+.f64 alpha 4) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (.f64 (+.f64 4 alpha) beta) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 alpha 4) beta (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta beta)))
(fma.f64 beta (+.f64 alpha 4) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 (+.f64 4 alpha) beta) (pow.f64 beta 2))
(fma.f64 (+.f64 alpha 4) beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta (+.f64 alpha 4)))
(+.f64 (.f64 (+.f64 4 alpha) beta) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 alpha 4) beta (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta beta)))
(fma.f64 beta (+.f64 alpha 4) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (.f64 (+.f64 4 alpha) beta) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 alpha 4) beta (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta beta)))
(fma.f64 beta (+.f64 alpha 4) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) (pow.f64 beta 2))
(fma.f64 -1 (.f64 beta (fma.f64 -1 (+.f64 2 alpha) -2)) (.f64 beta beta))
(-.f64 (.f64 beta beta) (.f64 beta (fma.f64 (+.f64 2 alpha) -1 -2)))
(*.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(+.f64 (fma.f64 -1 (.f64 beta (fma.f64 -1 (+.f64 2 alpha) -2)) (.f64 beta beta)) (+.f64 4 (*.f64 alpha 2)))
(fma.f64 (neg.f64 beta) (fma.f64 (+.f64 2 alpha) -1 -2) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4))))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) (+.f64 (pow.f64 beta 2) (.f64 2 (+.f64 2 alpha))))
(+.f64 (fma.f64 -1 (.f64 beta (fma.f64 -1 (+.f64 2 alpha) -2)) (.f64 beta beta)) (+.f64 4 (*.f64 alpha 2)))
(fma.f64 (neg.f64 beta) (fma.f64 (+.f64 2 alpha) -1 -2) (fma.f64 2 (+.f64 2 alpha) (*.f64 beta beta)))
(+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4))))
(pow.f64 (+.f64 beta 2) 2)
(pow.f64 (+.f64 2 beta) 2)
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(*.f64 (+.f64 beta 2) alpha)
(*.f64 alpha (+.f64 2 beta))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(*.f64 (+.f64 beta 2) alpha)
(*.f64 alpha (+.f64 2 beta))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))

eval761.0ms (5.9%)

Compiler: Compiled 32343 to 23971 computations (25.9% saved)

prune137.0ms (1.1%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	862	14	876
Fresh	5	17	22
Picked	0	1	1
Done	2	4	6
Total	869	36	905

Error

Counts

905 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	41.1b	(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
	4.4b	(/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
	21.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	25.6b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha)))
	33.5b	(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
	4.4b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
✓	37.8b	(/.f64 1/6 (+.f64 2 alpha))
	38.0b	(+.f64 (*.f64 -1/24 alpha) 1/12)
✓	9.6b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
	37.9b	1/12
	34.5b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
✓	29.0b	(/.f64 (/.f64 1 beta) (+.f64 beta 3))
	19.3b	(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	4.8b	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 3))
	29.1b	(/.f64 1 (*.f64 beta (+.f64 beta 3)))
	25.2b	(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
✓	28.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	25.8b	(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
	29.7b	(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
	9.6b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3))))
	17.4b	(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
	29.4b	(/.f64 (/.f64 1 beta) beta)
	40.3b	(/.f64 (/.f64 alpha beta) beta)
	61.9b	(+.f64 (/.f64 1/3 beta) -1/9)
	4.6b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
	33.8b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
	25.7b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
	60.2b	(/.f64 1/3 beta)
	29.5b	(/.f64 1 (*.f64 beta beta))
	53.5b	(/.f64 (/.f64 (+.f64 beta (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) 1)) (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) beta)) (+.f64 beta 3))
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
	9.6b	(.f64 1 (/.f64 (+.f64 beta 1) (+.f64 (.f64 beta (.f64 beta (+.f64 beta (+.f64 alpha 7)))) (fma.f64 (neg.f64 beta) (+.f64 (.f64 alpha -5) -16) (+.f64 12 (*.f64 alpha 6))))))
	9.6b	(.f64 1 (.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 3))))))
	27.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	34.3b	(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))

Compiler

Compiled 557 to 412 computations (26% saved)

regimes220.0ms (1.7%)

Counts

74 → 1

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 3))))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) 1)) (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) beta)) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))) (*.f64 2 (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (.f64 beta (neg.f64 beta)))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 (.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (.f64 (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (-.f64 (.f64 alpha (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(.f64 (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta -9)) (+.f64 beta -3))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (+.f64 (+.f64 alpha 2) (*.f64 2 beta))))))
(.f64 1 (/.f64 (+.f64 beta 1) (+.f64 (.f64 beta (.f64 beta (+.f64 beta (+.f64 alpha 7)))) (fma.f64 (neg.f64 beta) (+.f64 (.f64 alpha -5) -16) (+.f64 12 (*.f64 alpha 6))))))
(pow.f64 (.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) 1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 3))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta 3))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 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))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 3))
(/.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 (pow.f64 (+.f64 alpha beta) 3) 27) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (.f64 (+.f64 alpha beta) 3)))))

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

Calls

4 calls:

75.0ms	beta
64.0ms	alpha
23.0ms	(/.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))
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))`
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 1410 to 947 computations (32.8% saved)

regimes126.0ms (1%)

Counts

53 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 3))))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) 1)) (.f64 (.f64 beta (/.f64 beta (-.f64 -3 alpha))) beta)) (+.f64 beta 3))

Outputs

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

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

Calls

2 calls:

57.0ms	alpha
49.0ms	beta

Results

Error	Segments	Branch
0.8b	2	`alpha`
0.7b	2	`beta`

Compiler

Compiled 712 to 486 computations (31.7% saved)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	4.521737546177817	2649372858.311434

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes163.0ms (1.3%)

Counts

51 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 3))))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

Outputs

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

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

Calls

2 calls:

85.0ms	beta
60.0ms	alpha

Results

Error	Segments	Branch
0.8b	2	`alpha`
0.7b	2	`beta`

Compiler

Compiled 663 to 452 computations (31.8% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	292787342029.835	53333787222600.95

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes114.0ms (0.9%)

Counts

48 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 beta 2) (.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 3))))))
(.f64 (+.f64 beta 1) (/.f64 (+.f64 (.f64 2/9 alpha) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 2))))
(.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 3 beta)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

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

Calls

2 calls:

52.0ms	beta
44.0ms	alpha

Results

Error	Segments	Branch
0.8b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 594 to 404 computations (32% saved)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	53333787222600.95	990152615843639800.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes257.0ms (2%)

Counts

39 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha)))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))

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

Calls

2 calls:

206.0ms	beta
38.0ms	alpha

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.8b	2	`beta`

Compiler

Compiled 411 to 274 computations (33.3% saved)

bsearch37.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	53333787222600.95	990152615843639800.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes294.0ms (2.3%)

Counts

32 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 alpha) (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

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

Calls

2 calls:

189.0ms	alpha
59.0ms	beta

Results

Error	Segments	Branch
15.5b	2	`alpha`
1.7b	2	`beta`

Compiler

Compiled 290 to 190 computations (34.5% saved)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes119.0ms (0.9%)

Counts

27 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 beta beta) (+.f64 beta 3))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) (+.f64 beta 3))
(/.f64 (/.f64 1 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(.f64 1 (/.f64 (+.f64 beta 1) (.f64 beta (*.f64 beta (+.f64 beta (+.f64 alpha 7))))))

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

Calls

2 calls:

84.0ms	alpha
28.0ms	beta

Results

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

Compiler

Compiled 215 to 140 computations (34.9% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes107.0ms (0.8%)

Counts

22 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha)))

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

Calls

2 calls:

78.0ms	alpha
24.0ms	beta

Results

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

Compiler

Compiled 150 to 98 computations (34.7% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	4.521737546177817	2649372858.311434

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes115.0ms (0.9%)

Counts

21 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(.f64 (+.f64 beta 1) (/.f64 1 (.f64 alpha alpha)))
(/.f64 (/.f64 1/2 (+.f64 (+.f64 alpha beta) (*.f64 2 1))) beta)

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

Calls

2 calls:

77.0ms	beta
34.0ms	alpha

Results

Error	Segments	Branch
16.1b	2	`alpha`
1.7b	2	`beta`

Compiler

Compiled 139 to 91 computations (34.5% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	4.521737546177817	2649372858.311434

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes72.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Outputs
(+.f64 (*.f64 -1/24 alpha) 1/12)
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)

Calls

2 calls:

24.0ms	alpha
17.0ms	beta

Results

Error	Segments	Branch
16.5b	2	`alpha`
1.9b	2	`beta`

Compiler

Compiled 92 to 58 computations (37% saved)

bsearch65.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
64.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes70.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 beta 1) alpha) alpha)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))

Outputs
(+.f64 (*.f64 -1/24 alpha) 1/12)
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

34.0ms	alpha
32.0ms	beta

Results

Error	Segments	Branch
16.4b	3	`alpha`
3.6b	3	`beta`

Compiler

Compiled 71 to 47 computations (33.8% saved)

bsearch77.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	6.450129104419427e+152	2.2644362083848882e+154
30.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes101.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Outputs
(+.f64 (*.f64 -1/24 alpha) 1/12)
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

52.0ms	beta
46.0ms	alpha

Results

Error	Segments	Branch
16.6b	3	`alpha`
3.6b	3	`beta`

Compiler

Compiled 50 to 33 computations (34% saved)

bsearch96.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	6.450129104419427e+152	2.2644362083848882e+154
34.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))

Outputs
(+.f64 (*.f64 -1/24 alpha) 1/12)
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

16.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
20.1b	2	`alpha`
5.6b	2	`beta`

Compiler

Compiled 45 to 31 computations (31.1% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)
(+.f64 (*.f64 -1/24 alpha) 1/12)
(+.f64 (/.f64 1/3 beta) -1/9)

Outputs
(+.f64 (*.f64 -1/24 alpha) 1/12)
(/.f64 1/3 beta)

Calls

2 calls:

8.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
37.9b	1	`alpha`
36.8b	2	`beta`

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -24.5b remaining (-66.6%)

Threshold costs -24.5b (-66.6%)

Counts

3 → 2

Calls

Call 1

Inputs
1/12
(/.f64 1/3 beta)
(/.f64 1 beta)

Outputs
1/12
(/.f64 1/3 beta)

Calls

2 calls:

10.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
37.9b	1	`alpha`
36.8b	2	`beta`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	2.037092589294192	4.521737546177817

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`*-commutative_binary64`
15×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	562
1	135	560
2	150	560
3	172	560
4	201	560
5	227	560
6	255	560
7	289	560
8	312	560
9	316	560

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(if (<=.f64 beta 5091023882008399/1125899906842624) (.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 4797027811816817/16384) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 3413362382246461/64) (.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 3413362382246461/64) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 1/3 beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) 1/12 (/.f64 1/3 beta))
1/12

Outputs
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))) (+.f64 beta (+.f64 alpha 2)))
(if (<=.f64 beta 5091023882008399/1125899906842624) (.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 4 (.f64 2 alpha)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3)))) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta (-.f64 beta (+.f64 (neg.f64 alpha) -4)))) (+.f64 beta 3))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 alpha 2) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta (-.f64 beta (-.f64 -4 alpha)))) (+.f64 beta 3))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 alpha 2) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta (+.f64 beta (+.f64 alpha 4)))) (+.f64 beta 3))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 alpha 2) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (+.f64 4 (.f64 alpha 2)) (.f64 beta (+.f64 beta (+.f64 alpha 4)))) (+.f64 beta 3))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (-.f64 4 (.f64 alpha -2)) (.f64 beta (+.f64 beta (+.f64 alpha 4)))) (+.f64 beta 3))) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4797027811816817/16384) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 4797027811816817/16384) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 3)) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (+.f64 alpha 2) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4797027811816817/16384) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 3)) (/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 3413362382246461/64) (.f64 1 (/.f64 (+.f64 beta 1) (.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 3413362382246461/64) (/.f64 (+.f64 1 beta) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 3413362382246461/64) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 3413362382246461/64) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 2 alpha))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 5091023882008399/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 alpha -1/24) 1/12) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 alpha -1/24) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 alpha -1/24) 1/12) (if (<=.f64 beta 645012910441942738514457217841946354375443496711124380550761206294669086206521163408068085846113631928698183017972777350882860178957982083424383234211840) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 alpha -1/24) 1/12) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 -1/24 alpha) 1/12) (/.f64 1/3 beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) (+.f64 (*.f64 alpha -1/24) 1/12) (/.f64 1/3 beta))
(if (<=.f64 beta 4587124713032261/2251799813685248) 1/12 (/.f64 1/3 beta))
1/12

end218.0ms (1.7%)

Stop Event

1×

fuel

Compiler

Compiled 856 to 607 computations (29.1% saved)

Iter	Nodes	Cost
0	97	562
1	135	560
2	150	560
3	172	560
4	201	560
5	227	560
6	255	560
7	289	560
8	312	560
9	316	560

Iter	Nodes	Cost
0	97	562
1	135	560
2	150	560
3	172	560
4	201	560
5	227	560
6	255	560
7	289	560
8	312	560
9	316	560

Iter	Nodes	Cost
0	97	562
1	135	560
2	150	560
3	172	560
4	201	560
5	227	560
6	255	560
7	289	560
8	312	560
9	316	560